If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance, what are the alternative hypothesis and rejection region?

Answers

Answer 1

Answer:

The alternative hypothesis is

      [tex]H_a : p_1 \ne \ p_2[/tex]

The rejection region is the region outside the interval

         [tex]-1.96 < z_{critical} < 1.96[/tex]

Step-by-step explanation:

From the question we are told that

    The significance level is  [tex]\alpha = 0.05[/tex]

     The null hypothesis is  [tex]H_o : p_1 = p_2[/tex]

      The  alternative hypothesis is  [tex]H_a : p_1 \ne \ p_2[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Hence the rejection region is the region outside the interval [tex]-1.96 < z_{critical} < 1.96[/tex]

Answer 2

The alternative hypothesis is, [tex]H _a; \ P_1\neq P_2[/tex] .

And the rejection region is the region outside the interval is [tex]-1.96< Z_c_r_i_t_i_c_a_l <1.96[/tex] .

Given that,

If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance.

We have to determine,

What is the alternative hypothesis and rejection region?

According to the question,

The significance level is,  [tex]\alpha = 5 \ percent = 0.05[/tex]

The null hypothesis is [tex]H_0 ; P_1 = P_2[/tex]

The alternative hypothesis is, [tex]H _a; \ P_1\neq P_2[/tex]

In the normal distribution table, the critical value [tex]\dfrac{\alpha}{2}[/tex] is,

[tex]Z _\frac{\alpha}{2} = 1.96[/tex]

Hence, the rejection region is the region outside the interval is [tex]-1.96< Z_c_r_i_t_i_c_a_l <1.96[/tex] .

To know more about the Hypothesis click the link given below.

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Related Questions

In a certain chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains 760 grams of copper. How many grams of zinc does it​ contain?
1) 760 grams
2) 3,610
3) 30,400
4) 190 or 160 grams

Answers

160 grams of zinc. 760/ 19 is equal to 40 so then we’d want to multiple 4 x 40 because that’s how much were growing by so then zinc is 160 grams

Evaluate 3x(x-2)/2x-1 when x=0

Answers

Answer:

The answer is zero, because the entire equation is being multiplied by zero. The only way that will give you non-zero value is if the denominator in the fraction came to zero as well, but in this case it does not.

Step-by-step explanation:

[tex]3x\frac{x - 2}{2x - 1} \\3(0)\frac{0-2}{2(0) - 1}\\0[/tex]

Could someone help me pls with this question it is math !

Answers

Answer:

B) 275n + 1000 = 2700

Step-by-step explanation:

n is just a placer holder for how many days the Carter family can vacate.

That being said, the question says that they will spend 275 per day, which is per n. You want to multiply 275 by n.

Then the question says it plans to spend $1000 on meals (that's a lot). Instead of substracting, you are going to add for this equation. You want the equation to match; you want both sides to equal 2700 so you can determine how many days you can spend there.

What is the slope of the line that passes through the points (-3, -9)(−3,−9) and (22, -4) ?(22,−4)? Write your answer in simplest form.

Answers

Answer:

1/5

Step-by-step explanation:

Equation: [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Points: (-3, -9) and (22, -4)

[tex]y_{2}[/tex] is the second y point that shows up on the question, basically go by order. So it's -4

[tex]y_{1}[/tex] is -9, because again, in order of which coordinates pop-up first in the question

[tex]x_{2}[/tex] is 22, [tex]x_{1}[/tex] is -3

Now input into the equation, to make it easier we'll split the fraction into 2 equations:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] = [tex]y_{2} - y_{1}[/tex] and [tex]x_{2} - x_{1}[/tex], we'll put them back in a fraction later

[tex]y_{2} - y_{1}[/tex] = -4 - (-9) = -4 + 9 = 5

[tex]x_{2} - x_{1}[/tex] = 22 - (-3) = 22 + 3 = 25

now put it in the fraction, remember y on top x on the bottom:

5/25, simplify, 1/5

1 Exam Find the sales tax. Sales Tax Selling Price Rate of Sales Tax Sales Tax $40.00 6% ? The sales tax is $​

Answers

Answer:

59% why

Step-by-step explanation:

i just took the test my gee

Answer:

Tax: $2.4

Total: $42.4

Step-by-step explanation:

40*0.06 = 2.4, 40 + 2.4 = 42.4

What are characteristics of a negative correlation? Select all that apply.

Answers

1
3
4
Good luck :)
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which could be the name of a plane?

Answers

Answer: where are the options?

Step-by-step explanation:

Answer:

There is not enough information presented to give an answer

Step-by-step explanation:

If you add more information, I will try and answer it for you

Please help I’ll mark u <3

Answers

Answer:

x>-4

Step-by-step explanation:

Find the distance between the points. Round to the nearest tenth.
(1, 3) and (5.0)

Answers

1,2.6.0 yahhh feeeellll meeeeeeeer

Based on a sample of 100 employees a 95% confidence interval is calculated for the mean age of all employees at a large firm. The interval is (34.5 years, 47.2 years).
A. What was the sample mean?
B. Find the margin of error?
C. Find the critical value tc for:
a. a 90% confidence level when the sample size is 22.
b. an 80% confidence level when the sample size is 49.

Answers

Answer:

a

[tex]\= x = 40.85[/tex]

b

[tex]E = 5.85[/tex]

Ca  

   [tex]t_c =  2.08 [/tex]

Cb

   [tex] t_c  =   1.282 [/tex]

Explanation:

From the question we are told that

     The sample size is n  =  100

     The upper limit of the 95% confidence interval is  b =  47.2 years

     The lower limit of the 95% confidence interval is   a =  34.5 years

Generally the sample mean is mathematically represented as

         [tex]\= x = \frac{a + b }{2}[/tex]

=>    [tex]\= x = \frac{47.2 + 34.5 }{2}[/tex]

=>    [tex]\= x = 40.85[/tex]

Generally the margin of error is mathematically represented as

         [tex]E = \frac{b- a }{ 2}[/tex]

=>      [tex]E = \frac{47.2- 34.5 }{ 2}[/tex]

=>      [tex]E = 5.85[/tex]

Considering question C a  

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

The  sample size is  n =  22

Given that the sample size is not sufficient enough i.e [tex]n < 30[/tex] we will make use of the student t distribution table  

Generally the degree of freedom is mathematically represented as

           [tex]df = n- 1[/tex]

=>        [tex]df = 22 - 1[/tex]

=>        [tex]df = 21[/tex]

Generally from the student  t  distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom  of  21 is  

   [tex]t_c =t_{\frac{\alpha }{2} ,  21  } =  2.08 [/tex]

Considering question C b

From the question we are told the confidence level is  80% , hence the level of significance is    

      [tex]\alpha = (100 - 80 ) \%[/tex]

=>   [tex]\alpha = 0.20[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex] t_c  =Z_{\frac{\alpha }{2} } =  1.282 [/tex]

A recipe calls for 3 cups of water for every 4 cups of flour.


What is the unit rate of water to flour, written as a decimal?

Answers

It is 0.75 I know that because 3 cups of water divided by four and 4 cups of flour divided by 4 that is 0.75

BRAINLIEST TO HONEST ANSWER
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Answers

You’d do exponents first according to pemdas so 3^6 which equals 729 (you can get that by multiplying 3 by itself 6 times( 3x3x3x3x3x3)) then the next part is x3 so 729x 3 =2187

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Answer:

Question 1: 3380g

Question 2: 2g/cm^3

Step-by-step explanation:

I used online mass and density calculators. Hope this helps :)!

Jean's bedroom is 12 feet by 12 feet. She has chosen a carpet which costs $28.10 per square yard. This includes installation.

Answers

Answer:

$449.60

Step-by-step explanation:

12 x 12 = 144, her room is 144 square feet. One yard is three feet, making a square yard equal to 9 square feet. 144 divided by 9 is 16 square yards. Now we do 16 times the installation cost $28.10. So 16 x 28.10 = 449.6, or $449.60.

I hope this helps!

Which statement(s) most directly apply to capitalism?

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II. Individuals can start some, but not all, kinds of enterprises.
III. The price and availability of goods is determined primarily by the market.
a. I and II
b. ll only
c. I and III
d. Ill only

Answers

Answer:

The answer is D, lll only.

Step-by-step explanation:

Just took the test on e d g e!

The statement that most directly applies to capitalism is III only.

Option D is the correct answer.

What is capitalism?

It is a system of the economy where means of production and distribution are owned by the private, not the government.

We have,

The economic system of capitalism is characterized by private ownership of the means of production and distribution of goods and services, as well as the profit motive as the driving force behind economic activity.

Based on this definition, statement III most directly applies to capitalism, as it highlights the central role of market forces in determining prices and availability of goods.

On the other hand,

Statement I, which suggests heavy government regulation of the industry, is not a typical feature of capitalism, as it implies a more interventionist approach by the government in the economy.

Capitalism generally favors a more limited role for the government in economic affairs, although some government regulations may still be present.

Statement II, which suggests that individuals can start some, but not all, kinds of enterprises, is also not a defining characteristic of capitalism.

In a capitalist system, individuals are generally free to start any kind of enterprise that they wish, provided they can obtain the necessary resources and meet any legal or regulatory requirements.

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The statement that most directly applies to capitalism is III only.

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

If you write down the points you’ll get:

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Next apply the expression which in this case:

A) y =3x

Now insert the numbers

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0.1
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0.5
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Answers

Answer:

0.25

How to Solve:

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Do the same to the numerator:

4 x 6.25 = 25

Now, take 25 and take a decimal point two spaces to the right:

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Claudia spends $2.15 a day for lunch. Her cafeteria lunch account has a balance of $48.00. Which equation can be used to determine the maximum number of days, d, that she can eat without adding money to her lunch account?

Answers

Answer:

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2x - y = -2,X + y = -1

Answers

Answer:

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Step-by-step explanation:

Hope this is right!!


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Answers

Answer:

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Youre talking about range which takes place on the y-axis (domain is the x-axis).

The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.

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1 Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long. How long is each of the 7 smaller boards?​

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Step-by-step explanation:

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you know that five pizzas will feed 20 people. how many pizzas do you need to order to feed 88 people?​

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Step-by-step explanation:

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Answers

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Unlikely

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“The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.”

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