Test the claim that the proportion of people who own cats is larger than 80%. Based on a sample of 300 people, 88% owned cats. The null and alternative hypothesis would be: $H_0: p = 0.8$ $H_A: p > 0.8$ The central limit theorem gives us a normal distribution based on the null hypothesis. The center of this distribution is The standard deviation of this distribution is
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Test the claim that the proportion of people who own cats is smaller than 90% at the 0.025 significance level. The null and alternative hypothesis would be: H0 : p = 0.9 H0 : p = 0.9 H0 : p = 0.9 H1 : p > 0.9 H1 : p ≠0.9 H1 : p < 0.9 The test is: two-tailed right-tailed left-tailed Based on a sample of 600 people, 86% owned cats The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis Submit Question
Adi S.
Test the claim that the proportion of people who own cats is smaller than 70% at the 0.10 significance level. The null and alternative hypotheses would be: H0: p >= 0.7 H1: p < 0.7 H0: p = 0.7 H1: p != 0.7 H0: p <= 0.7 H1: p > 0.7 The test is left-tailed, two-tailed, or right-tailed. Based on a sample of 700 people, 69% owned cats. The p-value is: (to 2 decimals) Based on this, we: Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the proportion of people who own cats is smaller than 60% at the 0.025 significance level. The null and alternative hypothesis would be: H0: p ≥ 0.6 H1: p < 0.6 The test is: left-tailed Based on a sample of 400 people, 57% owned cats. The p-value is: (to 2 decimals) WHAT IS THE P VALUE? Based on this, we fail to reject the null hypothesis.
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