5. Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 34 students feel more enriched as a result of her class. State the null and alternative hypothesis and conduct the test at a significance level of .01. H0: Ha: p - value = Conclusion of the test.
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In statistical terms, H0: p = 0.60. The alternative hypothesis (H1) is the opposite of the null hypothesis, which is that the proportion of students who feel more enriched is not 60%. In statistical terms, H1: p ≠ 0.60. Show more…
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Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 34 feel more enriched as a result of her class. Now, what do you think?
Leon D.
thoughtful wood
Jon S.
Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section. Trials in an experiment with a polygraph yield 98 results that include 24 cases of wrong results and 74 cases of correct results (based on data from experiments conducted by researchers Charles R. Honts of Boise State University and Gordon H. Barland of the Department of Defense Polygraph Institute). Use a 0.05 significance level to test the claim that such polygraph results are correct less than $80 \%$ of the time. Based on the results, should polygraph test results be prohibited as evidence in trials?
Hypothesis Testing
Testing a Claim About a Proportion
Recommended Textbooks
Elementary Statistics a Step by Step Approach
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