Test the claim that the proportion of men who own cats is smaller than 50% at the .10 significance level. The null and alternative hypothesis would be: H0:p = 0.5 H0:? = H0:p = 0.5 H0:? = H0:p = 0.5 H0:? = H1:p > 0.5 H1:? > H1:p ? 0.5 H1:? ? H1:p < 0.5 H1:? < The test is: left-tailed right-tailed two-tailed Based on a sample of 115 men, 17/115 of the men owned cats The test statistic is: z = (to 2 decimals) The critical value is zC = -1.28155. Thus the test statistic Select an answer in the critical region. Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
Added by Brooke H.
Close
Step 1
Null hypothesis: Ho: p = 0.5 (proportion of men who own cats is equal to 50%) Alternative hypothesis: Ha: p < 0.5 (proportion of men who own cats is smaller than 50%) Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 51 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Test the claim that the proportion of men who own cats is smaller than 40% at the 0.10 significance level. The null and alternative hypotheses would be: H0: p = 0.4 H1: p < 0.4 The test is: left-tailed Based on a sample of 80 people, 33% owned cats. The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this, we: Fail to reject the null hypothesis.
T. L.
Test the claim that the proportion of men who own cats is significantly different than 80% at the 0.1 significance level. The null and alternative hypothesis would be: H0: p = 0.8 H1: p ≠0.8 The test is: two-tailed Based on a sample of 40 people, 81% owned cats. The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this, we: Fail to reject the null hypothesis Reject the null hypothesis
Qudsiya A.
Test the claim that the proportion of men who own cats is significantly different than 30% at the 0.1 significance level. The null and alternative hypotheses would be: H0: p = 0.3 H1: p ≠0.3 H0: p = 0.3 H1: p ≠0.3 H0: p = 0.3 H1: p ≠0.3 H0: p = 0.3 H1: p ≠0.3 H0: p = 0.3 H1: p ≠0.3 H0: p = 0.3 H1: p ≠0.3 The test is: right-tailed left-tailed two-tailed Based on a sample of 500 people, 22% owned cats. The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this, we: Fail to reject the null hypothesis Reject the null hypothesis
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD