Exam 9: Hypothesis Testing

A Type I error is committed when we reject the null hypothesis,which is actually true.

A newly hired basketball coach promised a high-paced attack that will put more points on the board than the team's previously tepid offense historically managed.After a few months,the team owner looks at the data to test the coach's claim.He takes a sample of 36 of the team's games under the new coach and finds that they scored an average of 101 points with a standard deviation of 6 points.Over the past 10 years,the team had averaged 99 points.What is(are)the appropriate critical value(s)to test the new coach's claim at the 1% significance level?

Which of the following are one-tailed tests?

Consider the following hypotheses that relate to the medical field: H_o: A person is free of disease. H_A: A person has disease. In this instance,a Type II error is often referred to as ___________.

A Type II error is made when we reject the null hypothesis and the null hypothesis is actually false.

The critical value approach specifies a range of values,also called the rejection region,such that if the value of the test statistic falls into this range,we do not reject the null hypothesis.

Vermont-based Green Mountain Coffee Roasters dominates the market for single-serve coffee in the United States,with its subsidiary Keurig accounting for approximately 70% of sales ("Rivals Try to Loosen Keurig's Grip on Single-Serve Coffee Market," Chicago Tribune,February 26,2011).But Keurig's patent on K-cups,the plastic pods used to brew the coffee,is expected to expire in 2012,allowing other companies to better compete.Suppose a potential competitor has been conducting blind taste tests on its blend and finds that 47% of consumers strongly prefer its French Roast to that of Green Mountain Coffee Roasters.After tweaking its recipe,the competitor conducts a test with 144 tasters,of which 72 prefer its blend.The competitor claims that its new blend is preferred by more than 47% of consumers to Green Mountain Coffee Roasters' French Roast.What is the value of the appropriate test statistic to test this claim?

Given the _________ of the z distribution,the p-value for a two-tailed test is twice that of the p-value for a one-tailed test.

Under the assumption that the null hypothesis is true as an equality,the p-value is the likelihood of observing a sample mean that is at least as extreme as the one derived from the given sample.

A fast-food franchise is considering building a restaurant at a busy intersection.A financial advisor determines that the site is acceptable only if,on average,more than 300 automobiles pass the location per hour.If the advisor tests the hypotheses H_o: μ ≤ 300 versus H_A: μ > 300,μ stands for ____________.

A company has developed a new diet that it claims will lower one's weight by more than 10 pounds.Health officials decide to conduct a test to validate this claim.The manager of the company _____________________________________.

A hypothesis test regarding the population mean is based on ________________________________.

A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night.If this is to happen,it will have to move one of its most viewed shows to another slot.The network conducts a survey asking its viewers which show they would rather watch.The network receives 827 responses,of which 428 indicate that they would like to see the new show in the lineup.The test statistic for this hypothesis would be _______.

According to a 2009 Lawyers.com survey,only 35% of adult Americans had a will (The Wall Street Journal,December 12,2011).Suppose a recent survey of 250 adult Americans found 100 adults with wills. a.Specify the competing hypotheses to determine whether the proportion of adult Americans who have a will differs from the proportion reported for 2009. b.Calculate the value of the test statistic and the p-value. c.At the 5% significance level,is the proportion different? Explain.

On the basis of sample information,we either "accept the null hypothesis" or "reject the null hypothesis."