Ho :p = 0.026 H. P 0.026
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Hypothesis Testing: Marriage Rate for Women Over 40**
**Context:**
Annie is concerned about a report suggesting that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 2.6%.
**Research Setup:**
To challenge this statistic, Annie conducts a survey with a simple random sample of 540 never-previously-wed, university-educated American women who were single at the start of their 40s and who are now 45. Out of these women, 20 report being married.
**Research Question:**
Does this evidence support Annie's claim at a 0.10 level of significance that the chances of getting married for this group is greater than 2.6%?
**Step 1 of 3: State the Hypotheses**
- **Null Hypothesis (H₀):** \( p = 0.026 \)
- **Alternative Hypothesis (Hₐ):** \( p \) [select from options] 0.026
**Options for Alternative Hypothesis Inequality:**
- \( < \)
- \( > \)
- \( \neq \)
**Instructions:**
Determine the appropriate inequality for the alternative hypothesis based on Annie’s claim and complete the hypothesis test setup. Use the graphical tools provided if needed to fill in the blank for the inequality symbol.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc202aa77-6401-4cfc-98e4-e96da2bfa3e8%2F71d32ddb-c89d-45b0-b105-76ac8a4096c1%2F59ulq1b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing: Marriage Rate for Women Over 40**
**Context:**
Annie is concerned about a report suggesting that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 2.6%.
**Research Setup:**
To challenge this statistic, Annie conducts a survey with a simple random sample of 540 never-previously-wed, university-educated American women who were single at the start of their 40s and who are now 45. Out of these women, 20 report being married.
**Research Question:**
Does this evidence support Annie's claim at a 0.10 level of significance that the chances of getting married for this group is greater than 2.6%?
**Step 1 of 3: State the Hypotheses**
- **Null Hypothesis (H₀):** \( p = 0.026 \)
- **Alternative Hypothesis (Hₐ):** \( p \) [select from options] 0.026
**Options for Alternative Hypothesis Inequality:**
- \( < \)
- \( > \)
- \( \neq \)
**Instructions:**
Determine the appropriate inequality for the alternative hypothesis based on Annie’s claim and complete the hypothesis test setup. Use the graphical tools provided if needed to fill in the blank for the inequality symbol.
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