Question

Test the claim that the proportion of people who own cats is smaller than 40% at the 0.025 significance level. The null and alternative hypothesis would be: H0 : ? ? 0.4 H0 : p ? 0.4 H0 : ? = 0.4 H0 : p ? 0.4 H0 : ? ? 0.4 H0 : p = 0.4 H1 : ? < 0.4 H1 : p < 0.4 H1 : ? ? 0.4 H1 : p > 0.4 H1 : ? > 0.4 H1 : p ? 0.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 800 people, 31% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

          Test the claim that the proportion of people who own cats is smaller than 40% at the 0.025 significance level.

The null and alternative hypothesis would be:

H0 : ? ? 0.4 H0 : p ? 0.4 H0 : ? = 0.4 H0 : p ? 0.4 H0 : ? ? 0.4 H0 : p = 0.4
H1 : ? < 0.4 H1 : p < 0.4 H1 : ? ? 0.4 H1 : p > 0.4 H1 : ? > 0.4 H1 : p ? 0.4

The test is:

left-tailed two-tailed right-tailed

Based on a sample of 800 people, 31% owned cats

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

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

Test the claim that the proportion of people who own cats is smaller than 40% at the 0.025 significance level.

The null and alternative hypothesis would be:

H0 : ? ? 0.4 H0 : p ? 0.4 H0 : ? = 0.4 H0 : p ? 0.4 H0 : ? ? 0.4 H0 : p = 0.4
H1 : ? < 0.4 H1 : p < 0.4 H1 : ? ? 0.4 H1 : p > 0.4 H1 : ? > 0.4 H1 : p ? 0.4

The test is:

left-tailed two-tailed right-tailed

Based on a sample of 800 people, 31% owned cats

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

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

Added by Andrew J.

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