Hypothesis Test for a Population Proportion Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.2 significance level. The test is based on a sample of 30 people, in which 19% of the sample owned cats. The null and alternative hypothesis would be: Но: и —D 0.2 Но:р — 0.2 Но:д %3D H1:µ + 0.2 H1:p < 0.2 H1: µ < 0.2 H1:µ > 0.2 Но: р H1:p + 0.2 H1:p > 0.2 0.2 Но:р — 0.2 %| %3D The test is: two-tailed left-tailed right-tailed The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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**Hypothesis Test for a Population Proportion**

Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.2 significance level. The test is based on a sample of 30 people, in which 19% of the sample owned cats.

**The null and alternative hypothesis would be:**

1. \( H_0: \mu = 0.2 \) 
2. \( H_1: \mu \neq 0.2 \) 
3. \( H_0: p = 0.2 \) 
4. \( H_1: p < 0.2 \) 
5. \( H_0: \mu = 0.2 \) 
6. \( H_1: \mu < 0.2 \) 
7. \( H_0: p = 0.2 \) 
8. \( H_1: p > 0.2 \) 

**The test is:**

- Two-tailed
- Left-tailed
- Right-tailed (selected)

**The test statistic is:**  
_\_\_\_\_ (to 2 decimals)

**The positive critical value is:**  
_\_\_\_\_ (to 2 decimals)

**Based on this we:**

- ☐ Reject the null hypothesis
- ☐ Fail to reject the null hypothesis

--- 

This section outlines a hypothesis test for a given population proportion with options for null and alternative hypotheses. The test is right-tailed, indicating that the interest is in determining if the proportion is greater than 20%. The completion of this sheet requires calculation of the test statistic and comparing it to the critical value to make a decision regarding the hypotheses.
Transcribed Image Text:**Hypothesis Test for a Population Proportion** Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.2 significance level. The test is based on a sample of 30 people, in which 19% of the sample owned cats. **The null and alternative hypothesis would be:** 1. \( H_0: \mu = 0.2 \) 2. \( H_1: \mu \neq 0.2 \) 3. \( H_0: p = 0.2 \) 4. \( H_1: p < 0.2 \) 5. \( H_0: \mu = 0.2 \) 6. \( H_1: \mu < 0.2 \) 7. \( H_0: p = 0.2 \) 8. \( H_1: p > 0.2 \) **The test is:** - Two-tailed - Left-tailed - Right-tailed (selected) **The test statistic is:** _\_\_\_\_ (to 2 decimals) **The positive critical value is:** _\_\_\_\_ (to 2 decimals) **Based on this we:** - ☐ Reject the null hypothesis - ☐ Fail to reject the null hypothesis --- This section outlines a hypothesis test for a given population proportion with options for null and alternative hypotheses. The test is right-tailed, indicating that the interest is in determining if the proportion is greater than 20%. The completion of this sheet requires calculation of the test statistic and comparing it to the critical value to make a decision regarding the hypotheses.
Expert Solution
Step 1

From the provided information,

Sample size (n) = 20

19% of the sample owned cats so sample proportion (p̂) = 0.19

Level of significance (α) = 0.2

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