Test the claim that the proportion of people who own cats is smaller than 60% at the 0.01 significance level. The null and alternative hypothesis would be: H0:p = 0.6 H0:p ? 0.6 H0:? ? 0.6 Ha:p ? 0.6 Ha:p < 0.6 Ha:? > 0.6 H0:? = 0.6 H0:p ? 0.6 H0:? ? 0.6 Ha:? ? 0.6 Ha:p > 0.6 Ha:? < 0.6 The test is: left-tailed two-tailed right-tailed Based on a sample of 200 people, 59% owned cats The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
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We want to test if the proportion of people who own cats is smaller than 60%. So, our alternative hypothesis should be Ha: p < 0.6. Since the null hypothesis is the opposite of the alternative hypothesis, we have Ho: p >= 0.6. Show more…
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Test the claim that the proportion of people who own cats is smaller than 60% at the 0.005 significance level. The null and alternative hypothesis would be: The test is: Based on a sample of 400 people, 58% owned cats The p-value is: Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
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