Question

# 1. Test the claim that the proportion of men who own cats is significantly different than...

1.

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.1 significance level.

The null and alternative hypothesis would be:

 H0:pM≤pFH0:pM≤pF H1:pM>pFH1:pM>pF H0:pM≥pFH0:pM≥pF H1:pMμFH1:μM>μF H0:pM=pFH0:pM=pF H1:pM≠pFH1:pM≠pF H0:μM≥μFH0:μM≥μF H1:μM<μFH1:μM<μF

The test is

left-tailed

two-tailed

right-tailed

Based on a sample of 60 men, 40% owned cats
Based on a sample of 40 women, 50% owned cats

 positive Critical Value = [three decimal accuracy] Test Statistic = [three decimal accuracy]

Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis

2. You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.

Ho:p1≥p2Ho:p1≥p2
Ha:p1<p2Ha:p1<p2

You obtain 457 successes in a sample of size n1=557n1=557 from the first population. You obtain 252 successes in a sample of size n2=297n2=297 from the second population.

 critical value = [three decimal accuracy] test statistic = [three decimal accuracy]

The test statistic is...

• in the critical region
• not in the critical region

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to support that the first population proportion is less than the second population proportion.
• There is not sufficient evidence to support that the first population proportion is less than the second population proportion.

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