Test the claim that the proportion of men who own cats is smaller than 30% at the .01 significance level. The null and alternative hypothesis would be: Ho:p = 0.3 H1:p # 0.3 Ho:µ = 0.3 H1:µ < 0.3 Ho:p= 0.3 H1:p < 0.3 %3D Ο H: μ 0.3 H1:µ > 0.3 %3D Ho:µ = 0.3 H1:µ # 0.3 Ho:p = 0.3 H1:p > 0.3 Based on a sample of 80 people, 27% owned cats The test statistic is |(to 3 decimals) The critical value is (to 2 decimals) Based on this we Fail to reject the null hypothesis Reject the null hypothesis

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Test the claim that the proportion of men who own cats is smaller than 30% at the 0.01 significance level.

The null and alternative hypothesis would be:

- \( H_0: p = 0.3 \)  
  \( H_1: p \neq 0.3 \)

- \( H_0: \mu = 0.3 \)  
  \( H_1: \mu < 0.3 \)

- \( H_0: p = 0.3 \)  
  \( H_1: p < 0.3 \)

- \( H_0: \mu = 0.3 \)  
  \( H_1: \mu > 0.3 \)

- \( H_0: p = 0.3 \)  
  \( H_1: p \neq 0.3 \)

- \( H_0: p = 0.3 \)  
  \( H_1: p > 0.3 \)

Based on a sample of 80 people, 27% owned cats.

The test statistic is ________ (to 3 decimals)

The critical value is ________ (to 2 decimals)

Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis

[Submit Question]
Transcribed Image Text:Test the claim that the proportion of men who own cats is smaller than 30% at the 0.01 significance level. The null and alternative hypothesis would be: - \( H_0: p = 0.3 \) \( H_1: p \neq 0.3 \) - \( H_0: \mu = 0.3 \) \( H_1: \mu < 0.3 \) - \( H_0: p = 0.3 \) \( H_1: p < 0.3 \) - \( H_0: \mu = 0.3 \) \( H_1: \mu > 0.3 \) - \( H_0: p = 0.3 \) \( H_1: p \neq 0.3 \) - \( H_0: p = 0.3 \) \( H_1: p > 0.3 \) Based on a sample of 80 people, 27% owned cats. The test statistic is ________ (to 3 decimals) The critical value is ________ (to 2 decimals) Based on this we: - Fail to reject the null hypothesis - Reject the null hypothesis [Submit Question]
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