Exam 9: Fundamentals of Hypothesis Testing: One-Sample Tests

True or False: In instances in which there is insufficient evidence to reject the null hypothesis, you must make it clear that this has proven that the null hypothesis is true.

SCENARIO 9-5 A bank tests the null hypothesis that the mean age of the bank's mortgage holders is less than or equal to 45 years, versus an alternative that the mean age is greater than 45 years.They take a sample and calculate a p-value of 0.0202. -Referring to Scenario 9-5, if the same sample was used to test the opposite one-tail test, what Would be that test's p-value?

A is a numerical quantity computed from the data of a sample and is used In reaching a decision on whether or not to reject the null hypothesis.

True or False: The smaller the p-value, the stronger is the evidence against the null hypothesis.

SCENARIO 9-7 A major home improvement store conducted its biggest brand recognition campaign in the company's history.A series of new television advertisements featuring well-known entertainers and sports figures were launched.A key metric for the success of television advertisements is the proportion of viewers who "like the ads a lot".A study of 1,189 adults who viewed the ads reported that 230 indicated that they "like the ads a lot." The percentage of a typical television advertisement receiving the "like the ads a lot" score is believed to be 22%.Company officials wanted to know if there is evidence that the series of television advertisements are less successful than the typical ad (i.e.if there is evidence that the population proportion of "like the ads a lot" for the company's ads is less than -Referring to Scenario 9-7, the parameter the company officials is interested in is:

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of The club.She would now like to determine whether or not the mean age of her customers is Greater than 30.If so, she plans to alter the entertainment to appeal to an older crowd.If not, no Entertainment changes will be made.The appropriate hypotheses to test are:

If an economist wishes to determine whether there is evidence that mean family income in a Community equals $50,000

SCENARIO 9-7 A major home improvement store conducted its biggest brand recognition campaign in the company's history.A series of new television advertisements featuring well-known entertainers and sports figures were launched.A key metric for the success of television advertisements is the proportion of viewers who "like the ads a lot".A study of 1,189 adults who viewed the ads reported that 230 indicated that they "like the ads a lot." The percentage of a typical television advertisement receiving the "like the ads a lot" score is believed to be 22%.Company officials wanted to know if there is evidence that the series of television advertisements are less successful than the typical ad (i.e.if there is evidence that the population proportion of "like the ads a lot" for the company's ads is less than -True or False: Referring to Scenario 9-7, the null hypothesis would be rejected.

Referring to Scenario 9-6, suppose the engineer had decided that the alternative hypothesis to Test was that the mean was greater than 650.What would be the p-value of this one-tail test?

A pizza chain is considering opening a new store in an area that currently does not have any such Stores.The chain will open if there is evidence that more than 5,000 of the 20,000 households in The area have a favorable view of its brain.It conducts a telephone poll of 300 randomly selected Households in the area and finds that 96 have a favorable view.The p-value associated with the Test statistic in this problem is approximately equal to:

Which of the following would be an appropriate null hypothesis?

True or False: In instances in which there is insufficient evidence to reject the null hypothesis, you must make it clear that this does not prove that the null hypothesis is true.