1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
balandron [24]
2 years ago
15

This claim is to be investigated at .01 levels. “Forty percent or more of those persons who retired from an industrial job befor

e the age of 60 would return to work if a suitable job were available. “Seventy-four persons out of the 200 sampled said they would return to work
- State the null hypothesis.
- What is the decision rule?
- Compute the value of the test statistic.​
Mathematics
1 answer:
Degger [83]2 years ago
7 0

According to the described situation, we have that:

  • The null hypothesis is H_0: p < 0.4

The decision rule is:

  • z < 2.327: Do not reject the null hypothesis.
  • z > 2.327: Reject the null hypothesis.

The value of the test statistic is of z = -0.866.

<h3>What is the null hypothesis?</h3>

The claim is:

"Forty percent or more of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job were available"

At the null hypothesis, we consider that the claim is false, that is, the proportion is of less than 40%, hence:

H_0: p < 0.4

<h3>What is the decision rule?</h3>

We have a right-tailed test, as we are testing if a proportion is less/greater than a value. Since we are working with a proportion, the z-distribution is used.

Using a z-distribution calculator, the critical value for a right-tailed test with a significance level of 0.01 is of z = 2.327, hence, the decision rule is:

  • z < 2.327: Do not reject the null hypothesis.
  • z > 2.327: Reject the null hypothesis.

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

In this problem, the parameters are:

p = 0.4, n = 200, \overline{p} = \frac{74}{200} = 0.37

Hence:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.37 - 0.4}{\sqrt{\frac{0.4(0.6)}{200}}}

z = -0.866

The value of the test statistic is of z = -0.866.

You can learn more about hypothesis tests at brainly.com/question/16313918

You might be interested in
Help please with question 5-8, show the solution
ludmilkaskok [199]

For each of these problems, remember SOH-CAH-TOA.

Sine = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.

6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.

7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.

8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.

Hope this helps!

8 0
3 years ago
Four times a number increased by 3 is -89
sp2606 [1]

Answer:

-21.5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Carry out the following division.​
kifflom [539]

Answer:

1: 8a²

2: 9a²b²c²

Step-by-step explanation:

1: 48a³ ÷ 6a

48÷6 = 8

8a²

2: 72a³b⁴c⁵ ÷ 8ab²c³

72÷ 8 =9

9a²b²c²

4 0
2 years ago
Read 2 more answers
PLEASE HELP ME I BEG OF YOU IF YOU HELP ME I WILL GIVE YOU BRAINTLIEST"Julie goes to the sports store and spends $40.50 before t
Pie

Answer:

6.25

Step-by-step explanation:

Plz give me brainleist like u said.

3 0
3 years ago
Find two consecutive integers whose sum is -29
LuckyWell [14K]

Example:

The sum of two consecutive integers is -15.  What is the product of the two integers?

x = 1st consecutive integer

x + 1 = 2nd consecutive integer   {consecutive integers increase by 1}


x + x + 1 = -15   {the sum of two consecutive integers is -15}

2x + 1 = -15   {combined like terms}

2x = -16   {subtracted 1 from each side}

x = -8   {divided each side by 2}

x + 1 = -7   {substituted -8, in for x, into x + 1}


-8 and -7 are the two consecutive integers


Their product is 56.

​


8 0
3 years ago
Other questions:
  • Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters. What is the m
    12·1 answer
  • What is 200%of 4420​
    10·2 answers
  • 1 / 3 divided by 2 is equal to? (show your answer in fraction form)
    11·1 answer
  • Given<br> f(x) = 3x + 10 and g(x) = x - 2, find f (g(5))<br> -10<br> 23<br> None of these.
    5·2 answers
  • Need help with this have no idea how to do it
    14·1 answer
  • I have been having a hard time with this question can someone please explain it to me?
    13·1 answer
  • What's the end time of 2hours and 18 minutes?
    5·2 answers
  • Solve 3x2 − 7x − 2 = 0. (1 point)
    11·2 answers
  • What is the domain if the function? Interval Notation.<br><br>Thank you for the help!​
    9·1 answer
  • Which equation has a unit rate greater than the unit rate of the relationship shown in the graph?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!