A student wishes to see if at her work place the proportion females who do not have children is less than the proportion of males who do not have children. To test her claim she randomly selects 358 females 60 did not have children. She then randomly selects 322 males workers and out of them 59 did not have children. Test her claim at œ=0.05 to see if she was right. The correct hypotheses are: О Но: рr <рм НА: pr > рм(claim) Ο H: pF Σ PM HA:PF < PM(Cclaim) О Но: pr — рм НА: рr + рм(claim)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The decision can be made to:

- ⃝ **reject** \(H_0\)
- ⃝ **do not reject** \(H_0\)

The final conclusion is that:

- ⃝ There is enough evidence to reject the claim that the proportion of females who do not have children is less than the proportion of males who do not have children.
- ⃝ There is not enough evidence to reject the claim that the proportion of females who do not have children is less than the proportion of males who do not have children.
- ⃝ There is enough evidence to support the claim that the proportion of females who do not have children is less than the proportion of males who do not have children.
- ⃝ There is not enough evidence to support the claim that the proportion of females who do not have children is less than the proportion of males who do not have children.
Transcribed Image Text:The decision can be made to: - ⃝ **reject** \(H_0\) - ⃝ **do not reject** \(H_0\) The final conclusion is that: - ⃝ There is enough evidence to reject the claim that the proportion of females who do not have children is less than the proportion of males who do not have children. - ⃝ There is not enough evidence to reject the claim that the proportion of females who do not have children is less than the proportion of males who do not have children. - ⃝ There is enough evidence to support the claim that the proportion of females who do not have children is less than the proportion of males who do not have children. - ⃝ There is not enough evidence to support the claim that the proportion of females who do not have children is less than the proportion of males who do not have children.
**Hypothesis Testing Exercise: Proportions of Childless Workers**

A student wishes to see if at her workplace the proportion of females who do not have children is less than the proportion of males who do not have children. To test her claim, she randomly selects 358 females, of which 60 did not have children. She then randomly selects 322 male workers, and out of them, 59 did not have children. Test her claim at \(\alpha = 0.05\) to see if she was right. The correct hypotheses are:

- \(H_0 : p_F \ge p_M\)
- \(H_A : p_F < p_M\) (claim)

Since the level of significance is 0.10, the critical value is \(-1.282\).

1. **The test statistic is:** \(\_\_\_\_\_\_\_\_\_) (round to 3 places)
2. **The p-value is:** \(\_\_\_\_\_\_\_\_\_) (round to 3 places)

The decision can be made to:

- \(\bigcirc\) reject \(H_0\)
- \(\bigcirc\) do not reject \(H_0\)

**Note:** This exercise involves computing the test statistic and p-value based on the given data. Use appropriate statistical formulas and methods to solve.
Transcribed Image Text:**Hypothesis Testing Exercise: Proportions of Childless Workers** A student wishes to see if at her workplace the proportion of females who do not have children is less than the proportion of males who do not have children. To test her claim, she randomly selects 358 females, of which 60 did not have children. She then randomly selects 322 male workers, and out of them, 59 did not have children. Test her claim at \(\alpha = 0.05\) to see if she was right. The correct hypotheses are: - \(H_0 : p_F \ge p_M\) - \(H_A : p_F < p_M\) (claim) Since the level of significance is 0.10, the critical value is \(-1.282\). 1. **The test statistic is:** \(\_\_\_\_\_\_\_\_\_) (round to 3 places) 2. **The p-value is:** \(\_\_\_\_\_\_\_\_\_) (round to 3 places) The decision can be made to: - \(\bigcirc\) reject \(H_0\) - \(\bigcirc\) do not reject \(H_0\) **Note:** This exercise involves computing the test statistic and p-value based on the given data. Use appropriate statistical formulas and methods to solve.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman