Approximately 19% of physics majors in the US are women. To test whether your college differs significantly from the national average, you take a random sample of 50 physics majors at your college and find that 11 are female. Calculate the appropriate test statistic to determine whether your college differs significantly from the national rate

Answers

Answer 1

Testing the hypothesis, it is found that the appropriate test statistic is z = 0.54.

At the null hypothesis, it is tested if the proportion of women physics majors in your college is the same as the national average of 19%, that is:

[tex]H_0: p = 0.19[/tex]

At the alternative hypothesis, it is tested if the proportion is different, that is:

[tex]H_1: p \neq 0.19[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are:

[tex]p = 0.19, n = 50, \overline{p} = \frac{11}{50} = 0.22[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.22 - 0.19}{\sqrt{\frac{0.19(0.81)}{50}}}[/tex]

[tex]z = 0.54[/tex]

A similar problem is given at https://brainly.com/question/24166849


Related Questions

As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation. a. causal b. zero c. positive d. negative

Answers

When the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases, this implies a negative correlation.

Negative correlation simply means the relationship between two variables where as one variable increases, the other variable will reduce.

Therefore, in a situation where the average daily temperature in New York City decreases and the number of persons who are observed wearing sweaters in the workplace increases, this illustrates a negative correlation.

Read related link on:

https://brainly.com/question/25705812

Please take a look at the picture

Answers

Answer:

I think it'

is A and B

Step-by-step explanation:

hope hwlps

brainy heart rate 190 per minute her heart rate is 70% of her MHR
what is target heart rate
70
120
133
190
217

Answers

Answer:

120

Step-by-step explanation:

trough dependent sarcasm

Todd and Tim are exercising. Todd does 20 push-ups at the same time as Tim does 30 push-ups. When Todd does
40 push-ups, how many push-ups does Tim do?

Answers

Answer:

50 pushups.

Step-by-step explanation:

simple pattern of adding 10 each time.

The hole for a support needs to be 4 feet deep. It is currently 2 feet 9 inches deep. How much deeper
must the hole be? Use pencil and paper. Show two ways to solve this problem. Use the conversion
12 inches
factor
1 foot
The hole needs to be inches deeper.
Enter your answer in the answer box and then click Check Answer
All parts showing
CA
Review progress
Questions
Back
Type here to search
O
T

Answers

Answer:

1 ft 3 inches

Step-by-step explanation:

The states that a2 + b2 = c2, when finding the length of a side for a right triangle.​

Answers

Answer:

Pythagoras Theorem

Step-by-step explanation:

Answer:

so if I do b1+a1=c1 ok me done

Juan has x quarters and y dimes, having a minimum of 16 coins worth at
y
most $3 combined. No less than 4 of the coins are quarters. Solve this system
of inequalities graphically and determine one possible solution.

Answers

It is a total amount of more then 10

Find fraction and a decimal between 0.66 and 3/4 .the fraction and decimal should be two different numbers

Answers

Answer:

Step-by-step explanation:

0.66=66/100       3/4=75/100

fraction between

67/100 68/100 69/100 70/100 71/100 72/100 73/100 74/100

               or                       or                   or                      or

             17/25                  7/10               18/25               37/50

decimal between

0.67  0.68 0.69 0.70 0.71 0.72 0.73 0.74

Rewrite 5/6 and 6/7 so they have a common denominator

Answers

Answer:

a command demonimater of 6 and 7 is 42

35/42 and 36/42

Hope This Helps!!!

PLEASE HELP PLEASEEE

Answers

Answer:

pointts Step-by-step explanation:

u

Answer:

d

Step-by-step explanation:

find the sum or difference of 1/9 - 4 11/12 ​

Answers

Answer:

-65/36

Step-by-step explanation:

Is 40 is 50% of 80 true or false
With step by step evidence

Answers

Answer:

please mark brainliest

it is true

Step-by-step explanation:

if you multiplie 80 by 0.50 you will get 40,

If a = 3 and b = 5, find a/b= option 1 = 5/3 option 2 = 3/5 option 3 = 2/5

Answers

Answer:

34

Step-by-step explanation:

yeah

Answer:

Answer is option 2 = 3/5

Step-by-step explanation:

a/b=3/5

Find the volume of each shape. Round your answer to two decimal places.​

Answers

Answer:

25

Step-by-step explanation:

25

to find the volume you multiple the length, width, and height
16 x 6 x 3 = 288
the answer is 288 :)

There are 6 equally sized slices in a pizza. If Ken eats 5 of the slices,
what percent of the pizza has he eaten? Show your work.

Answers

Answer:

Step-by-step explanation:

5 / 6 = 0.83333333...

0.833333...•100 = 83.333333...

83.3%

Answer:

You can do this type of questions with inverse proportion.

_

%83,3

Which equation represents the statement: Three times the sum of a number and 5 is –30?
3n + 5 = -30
3(n+5) = -30
n + 15 = -30
(n + 5) ÷ 3 = -30

Answers

Answer:

3(n+5)=-30

Step-by-step explanation:

Three times the sum of a number and 5 is - 30

Vocabulary:

times = multiplication, represented with *

sum = addition, represented by +

unknown number = n

Three * the sum of a number and 5

The sum of a number and 5 is the same as saying n + 5

So we are multiplying 3 by n + 5

Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.

So we get 3( n + 5 ) is -30

3(n+5)=-30 is the answer.

Answer:

[tex]3(n+5)=-30[/tex]

Step-by-step explanation:

1. Divide the problem into pieces. The sum of a number and five can be written as [tex]n+5[/tex], where n is any number.

2. Since the question tells us that this sum is multiplied by 3, we expand the expression to [tex]3(n+5)[/tex].

3. Finally, the question tells us that this expression is equal to -30. This means we can express the entire statement as the equation [tex]3(n+5)=-30[/tex].

1,200 miles; 5% increase

Answers

Answer:

5%equals 5 divided by 100 equals 600

Snow fell from 6:30 am to 11:00 am, accumulating at a constant rate. At 8:00 am, the snow was 8 inches deep. By 11:00 am, it was 20 inches deep. How much snow fell each hour? (Part one)

Answers

The answer to the first box would be 4

Answer:

4 for the first box

Step-by-step explanation:

According to the central limit theorem, if a sample of size 100 is drawn from a population with a mean of 80, the mean of all sample means would equal _______. SHOW THE STEPS TO ARRIVE A T THE ANSWER (4 points)

Answers

Answer:

μX = the mean of X

σX = the standard deviation of X

If you draw random samples of size n, then as n increases, the random samples  

¯¯¯¯¯

X

which consists of sample means, tend to be normally distributed.

¯¯¯¯¯

X

~ N (

μ

x

,

σ

x

n

)

The central limit theorem for sample means says that if you keep drawing larger and larger samples (such as rolling one, two, five, and finally, ten dice) and calculating their means, the sample means form their own normal distribution (the sampling distribution). The normal distribution has the same mean as the original distribution and a variance that equals the original variance divided by, the sample size. The variable n is the number of values that are averaged together, not the number of times the experiment is done.

To put it more formally, if you draw random samples of size n, the distribution of the random variable

¯¯¯¯¯

X

, which consists of sample means, is called the sampling distribution of the mean. The sampling distribution of the mean approaches a normal distribution as the sample size n increases.

The random variable

¯¯¯¯¯

X

has a different z-score associated with it from that of the random variable X. The mean

¯¯¯

x

is the value of

¯¯¯¯¯

X

in one sample.

z =

¯¯¯

x

μ

x

σ

x

n

μ

x

=

μ

¯¯¯

x

 (mean of X = mean of

¯¯¯¯¯

X

. )

σ

¯¯¯

x

=

σ

x

n

= standard deviation of

¯¯¯¯¯

X

and is called the standard error of the mean.

Step-by-step explanation:

sorry if its hard/ confusing

Add and simplify.
[tex]\frac{7}{27}\\\frac{1}{6}[/tex]

Answers

7
27
+
1
6
=
7
27
+
1
6
=
14
54
+
9
54
=
14
+
9
54
=
23
54

•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

7/27 + 1/6 = 23/54

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

When we add fractions we must make sure they both have the same denominator first. 7/27 and 1/6 don’t have the same denominator so THE FIRST STEP HERE is to convert both fractions to have the same denominator so we can add. IN ORDER TO DO THAT, we must find the LCM (Least Common Multiple). The LCM of 27 and 6 (,the denominators,) is 54. 6 • 9 = 54 and 27 • 2 = 54. So we have to multiply 1/6 • 9 and 7/27 • 2.

7/27 • 2 = 14/54

1/6 • 9 = 9/54.

14+9=23 so the answer is 23/54 because it cannot be simplified.

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

PLEASE HELP, I'LL GIVE BRAINLIEST!!

Answers

K=3 hope I helped ☺️, and if it’s not the answer I’m sorry.

Answer:

3

Step-by-step explanation:

I think the answer is 3 because there are 3 spaces between each dot but I am also not the smartest person so if that's right sorry!

geomtry plz help 15 points

Answers

Answer:

it should be 60°. the single marks on each side means they are all equal

Answer:

m∠L=60º

Step-by-step explanation:

The triangle is an equilateral triangle meaning that all angles and sides are equal.

m∠L=60º

Hope this helps :)

A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are driven for 1000 miles on each of 18 different cars. In a separate experiment, 18 cars were outfitted with tires with tread type A, and another 18 were outfitted with tires with tread type B. Each car was driven 1000 miles. The cars with tread type A averaged 23.95 mpg, with a standard deviation of 1.79 mpg. The cars with tread type B averaged 22.19 mpg, with a standard deviation of 1.95 mpg. Let μX represent the population mean mileage for tread type A and let μY represent the population mean mileage for tread type B.


Required:

Find a 99% confidence interval for the difference μXâμY. Round the answers to three decimal places.

Answers

Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.

The standard errors are given by:

[tex]s_A = \frac{1.79}{\sqrt{18}} = 0.4219[/tex]

[tex]s_B = \frac{1.95}{\sqrt{18}} = 0.4596[/tex]

For the distribution of differences, the mean and the standard error are given by:

[tex]\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76[/tex]

[tex]s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239[/tex]

The interval is given by:

[tex]\overline{x} \pm ts[/tex]

The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.

Then:

[tex]\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058[/tex]

[tex]\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462[/tex]

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check https://brainly.com/question/16162795

Multiply or divide. write fractions in simplest form.

-2/7 divided by (-8/21)

please help with this problem i will mark you brainliest :)

Answers

Answer:

3/4

Step-by-step explanation:

(-2/7) / (-8/21)

When dividing by a fraction flip it over and multiply

(-2/7) * (-21/8)

Cancel 2 and 8

(-1/7) * (-21/4)

Cancel 7 and 21

(-1/1) * (-3/4)

multiply

3/4

I need help please please please

Answers

Answer:

$28

Step-by-step explanation:

5.5% is $1.54 of what number? (%/100= is/of)

5.5/100 = 1.54/X

X = (1.54 * 100) / 5.5 = $28

Answer:

sus

Step-by-step explanation:

O_O

George wants to write the number “fifteen thousandths” in standard form. Explain to him how he would do this. Be sure to name the places his digits will go in. What is “fifteen thousandths” in standard form?

Answers

Answer:

0.015

Step-by-step explanation:

He would have to take 15 and put the decimal point 4 places to the left of the number.

If a value has thousandths, it goes 4 places to the left, hundredths goes 3 places to the left, tenths goes 2 places to the left and ones goes 1 place to the left.

The standard form is 10,000 + 5000.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Fifteen thousandths

This can be written as,

= 15,000

It can be expanded as,

= 10,000 + 5,000

= 1 ten thousands + 5 thousands

Thus,

The standard form is 10,000 + 5000.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

A research question is a declarative statement which can be tested to determine the probability of it being true or false.

Answers

Answer:

Step-by-step explanation:

Yes the answer is true.

A declarative statement is one that

makes a statementprovides a factoffers an explanationconveys information

That being said, it can make a statement that is testable. It is testable, it can be assigned a probability.

If Y has exactly 2 positive integer factors then Y is a prime number. if so how?

Answers

Step-by-step explanation:

yes, if your teacher meant to include the default factors of every positive integer number : 1 and the number itself.

these are the 2 positive integer factors.

if a positive number can only be divided without remainder by 1 or by itself (with result 1), then it is per definition a prime number.

if the number can be divided without remainder by another number, then we are not dealing with a prime number.

but if your teacher did not have these default factors in mind, then no :

example : 15

15 has only 2 factors : 3 and 5.

both are positive integer numbers.

and yet 15 is not a prime number.

but back to my first point, 15 also has formally the factors 1 and 15. so, if we count them too, then we have suddenly 4 factors. and the original statement fits again.

select the two values of x that are roots of this equation 3x^2 + 1 = 5x

Answers

Answer:

[tex]x = \frac{5 + \sqrt{13} }{6} [/tex]

Step-by-step explanation:

[tex]3x { }^{2} + 1 = 5x[/tex]

[tex]3 {x}^{2} - 5x + 1 = 0[/tex]

Apply the quadratic formula with a=3, b=-5 and c=1

increase 400 in the ratio 3:5
decrease 400 in the ratio 3:5

Answers

Answer:

Given 3:5 = 3+5=10,

400*3/8=150,

400*5/8=250.

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