Suppose a random sample of 100 observations from a binomial population gives a value of p=0.48 and you wish to test the null hypothesis that the population parameter p is equal to 0.40 against the alternative hypothesis that p is greater than 0.40. Complete parts a through c Noting that p=0.48, what does your intuition tell you? Does the value of pappear to contradict the null hypothesis? OA. Yes, because p is very close to 0.40. OB. Yes, because p satisfies H₂: p>0.40 and is very close to 0.40. OC. No, because p is very close to 0.40. OD. Yes, because p satisfies H₂: p>0.40 and is not very close to 0.40. . Use the large-sample z-test to test H₂: p=0.40 against the alternative hypothesis, H₂: p>0.40. Use a=0.01. fa=0.01, find the rejection region for the test. Choose the correct answer below. OA. z<-2.575 OC. z<-2.575 or z>2.575 OB. z<-2.33 or z>2.33 OD. z<-2.33 OF. z>2.33 OE. z>2.575 Calculate the value of the test statistic (Round to two decimal places as needed.) What is the conclusion of the test? OA. Do not reject the null hypothesis because the test statistic is not in the rejection region. OB. Reject the null hypothesis because the test statistic is not in the rejection region. OC. Reject the null hypothesis because the test statistic is in the rejection region. OD. Do not reject the null hypothesis because the test statistic is in the rejection region. Find and interpret the observed significance level of the test conducted in part b The p-value of the test is (Round to three decimal places as needed.) What does this p-value mean? OA. Assuming p=0.40, the p-value is the probability that p is greater than 0.48 for a random sample of 100 observations. OB. Assuming p=0.48, the p-value is the probability that p is greater than 0.48 for a random sample of 100 observations OC. Assuming p=0.40, the p-value is the probability that is greater than 0.40 for a random sample of 100 observations. OD. Assuming p=0.48, the p-value is the probability that is greater than 0.40 for a random sample of 100 observations.

Suppose a random sample of 100 observations from a binomial population gives a value of p=0.48 and you wish to test the null hypothesis that the population parameter p is equal to 0.40 against the alternative hypothesis that p is greater than 0.40. Complete parts a through c Noting that p=0.48, what does your intuition tell you? Does the value of pappear to contradict the null hypothesis? OA. Yes, because p is very close to 0.40. OB. Yes, because p satisfies H₂: p>0.40 and is very close to 0.40. OC. No, because p is very close to 0.40. OD. Yes, because p satisfies H₂: p>0.40 and is not very close to 0.40. . Use the large-sample z-test to test H₂: p=0.40 against the alternative hypothesis, H₂: p>0.40. Use a=0.01. fa=0.01, find the rejection region for the test. Choose the correct answer below. OA. z<-2.575 OC. z<-2.575 or z>2.575 OB. z<-2.33 or z>2.33 OD. z<-2.33 OF. z>2.33 OE. z>2.575 Calculate the value of the test statistic (Round to two decimal places as needed.) What is the conclusion of the test? OA. Do not reject the null hypothesis because the test statistic is not in the rejection region. OB. Reject the null hypothesis because the test statistic is not in the rejection region. OC. Reject the null hypothesis because the test statistic is in the rejection region. OD. Do not reject the null hypothesis because the test statistic is in the rejection region. Find and interpret the observed significance level of the test conducted in part b The p-value of the test is (Round to three decimal places as needed.) What does this p-value mean? OA. Assuming p=0.40, the p-value is the probability that p is greater than 0.48 for a random sample of 100 observations. OB. Assuming p=0.48, the p-value is the probability that p is greater than 0.48 for a random sample of 100 observations OC. Assuming p=0.40, the p-value is the probability that is greater than 0.40 for a random sample of 100 observations. OD. Assuming p=0.48, the p-value is the probability that is greater than 0.40 for a random sample of 100 observations.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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