The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.

Answers

Answer 1

Answer:

The proportions differ significantly from those in the general population.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170

against

Ha: pi≠ pi0 for at least one value of i= 1,2,3,4

The significance level is set at ∝= 0.05

The test statistic under H0 is

χ² = ∑ (Oi- ei)²/ei

which has approximate chi square distribution with 3d.f  (n-1)

Computations: Under H0 the expected frequencies are

np10= Blood type O = 170 * 49/100= 83.3

np20 = Blood type A = 170 * 38/100= 64.6

np30 = Blood type B = 170 * 20/100= 11.76

np40 = Blood type AB = 170 * 4/100= 2.35

The value of χ² is computed as follows

Cell       Observed         Estimated        (Oi-ei)            (Oi-ei)²   (Oi-ei)²/ei

             Frequency      Frequency  

               Oi                    ei

1             87                        83.3               3.7               13.69        0.157

2            59                      64.6              -5.6                 31.36       0.531

3             20                     34                  -14                   196           9.8

4               4                      6.8                -2.8                  7.84         1.96      

∑             170                    188.7                                                  χ²= 12.43  

The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and

χ²≥ χ²(0.01,3) = 11.34  for alpha = 0.01

As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.


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Answer:

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Step-by-step explanation:

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Answer:

x = -2 ; y = -6

Step-by-step explanation:

Let y = 3x be eqn.1

So putting eqn.1 in 5x + 4y = -34 gives ,

[tex]5x + 4y = - 34[/tex]

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Answer:

c 1/6

Step-by-step explanation:

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c

Step-by-step explanation:

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Answer:

Option 2

Step-by-step explanation:

1/4 is equal to .25 or 25/100

Answer:
Option 2

Explanation:
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Answers

Answer:

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Step-by-step explanation:

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Answers

The given expression is :

1:2=3:x

To find,

The value of x.

Solution,

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It should be same as in RHS.

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1:2 = 3:6

or

1:2 = 1:2

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I need someone to please explain to me how my homework is done cause I’m lost and it’s due in a bit so

Answers

Answer:

7 : 3

Step-by-step explanation:

Answer:

7:3

Step-by-step explanation:

In the big square, there are 100 tiny squares.

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7:3

Baden Company manufactures a product with a unit variable cost of $50 and a unit sales price of $88. Fixed manufacturing costs were $240,000 when 10,000 units were produced and sold. The company has a one-time opportunity to sell an additional 2,000 units at $65 each in a foreign market which would not affect its present sales. If the company has sufficient capacity to produce the additional units, acceptance of the special order would affect net income as follows.
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Answers

Answer:

I would say C because i got 130,000

Step-by-step explanation:

Unit Variable Cost is $50

Unit Sales Price is $88

Fixed Costs $240 000 (10 000 units)

Opportunity 2000 units at $65

Total Sales = $130,000

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

WHO IS RIGHT?
Drag the word RIGHT onto the character
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Answer:

Right

Step-by-step explanation:

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Answer:

lion

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Hope this helped.

♡(ŐωŐ人)

Please answer quick

Answers

Answer:

4# 4x2 + 6x - 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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Hope you'll find it helpfull

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Correct question;

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Answers

The second answerrrrrrrrr

Amy has an adjusted gross income of $85,600. For the house she is considering buying, her monthly mortgage payment would be $1,711.22, her semi-annual property tax bill would be $3,239, and her annual homeowner’s insurance bill would be $980. She has a credit card bill that averages $500 per month and a $475 car payment. What is her back-end ratio?​

Answers

Answer:

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Step-by-step explanation:

Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5 . Which statement shows the quotient and gives the most likely explanation of what Tom was trying to determine? (5 points)

a
He can make 14 over 40 of a bottle of honey with 2 over 5 pound of honey in each bottle.

b
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c
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d
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Answers

Answer:

C.

Step-by-step explanation:

He can get 2 3/16 pounds of honey if he divides the honey into 2/5 - pound portions.

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via. google

Hope this helps dude

Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions: Option C.

Given the following data:

Quantity of honey = [tex]\frac{7}{8} \;pound[/tex]

To determine the statement which shows the quotient and gives the most likely explanation of what Tom was trying to calculate:

Translating the word sentence into an algebraic expression, we have;

7 over 8 divided by 2 over 5:

[tex]\frac{7}{8}\; \div \; \frac{2}{5}[/tex]

Applying the basic law of division for fractions, we have:

[tex]Quotient = \frac{7}{8}\; \times \; \frac{5}{2}\\\\Quotient =\frac{35}{16}[/tex]

Simplifying further, we have:

[tex]Quotient =\frac{35}{16} = 2\frac{3}{16}[/tex]

Therefore, Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions.

Read more on quotient here: https://brainly.com/question/3702921

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Answers

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Step-by-step explanation:

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Answers

Answer:

D. 4 17/27

Step-by-step explanation:

(1 2/3)^3 = (1 + 2/3)^3 = (3/3 + 2/3)^3 = (5/3)^3 = (5 * 5 * 5)/(3 * 3 * 3) = 125/27 = 108/27 + 17/27 = 4 17/27

Answer:

D

Step-by-step explanation:

[tex](1\frac{2}{3})^3\\\\(1+\frac{2}{3})^3\\\\(\frac{3}{3}+\frac{2}{3})^3\\\\(\frac{5}{3})^3\\\\\frac{5^3}{3^3}\\\\\frac{125}{27}\\\\\frac{(27*4)+17}{27}\\\\4\frac{17}{27}[/tex]

The diagram represents the enlargement of a rectangle by using a scale factor of 6.

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Answers

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Step-by-step explanation: like what that peson said! way to go and good luck on your test!

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Answer:

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Step-by-step explanation:

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Answer:

Yes

Step-by-step explanation:

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Step-by-step explanation:

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