Exam 9: Weight Management and Body Image

Many franchisers favor owners who operate multiple stores by providing them with preferential treatment. Suppose the Small Business Administration would like to perform a hypothesis test to investigate if 80% of franchisees own only one location using α = 0.05. A random sample of 120 franchisees found that 85 owned only one store. The critical value for this hypothesis test would be ------.

The critical value for a hypothesis test ______________.

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The p-value for this hypothesis test would be _______.

Failing to reject the null hypothesis and accepting the null hypothesis do not refer to the same conclusion.

For a one-tail (upper)hypothesis test, if the z- or t-test statistic exceeds the critical value, we do not reject the null hypothesis.

CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%. A random sample of 85 warehouse stores was selected and the number of vacant stores was counted. Assume that the true population proportion of vacant warehouse stores is 0.125. Using α = 0.05, beta equals _______.

When testing for the population mean when sigma is known and a sample size is greater than 30, the population must be normally distributed in order for the conclusions to be reliable.

A Type II error is known as the consumer's risk because, when it occurs in quality control settings, the customer is getting a product from a process that is not performing properly.

A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam is equal to 45 minutes. The correct hypothesis statement would be------

The null hypothesis is also known as the research hypothesis because it represents the position the researcher wants to establish.

Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted-living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set ? = 0.05. The test statistic for this hypothesis test would be .

Hypothesis testing relies on proof by contradiction where we assume that the alternative hypothesis is true and attempt to disprove it by finding evidence to the contrary.

Recently, Experian reported that the average credit score for a new- car loan was 753. Suppose Ally Financial, a bank holding company that finances car loans, would like to test the hypothesis that the average credit score has increased since the Experian report. A random sample of 20 new- car loans had an average credit score of 764.2 with a sample standard deviation of 34.5. Ally Financial would like to set α = 0.05. The conclusion for this hypothesis test would be that because the test statistic is _________.

Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 ounces if ice cream per month. A random sample of 15 Americans was found to consume an average of 18.2 ounces of ice cream last month. The standard deviation for this sample was 3.9 ounces. Breyers would like to set α = 0.10. The p-value for this hypothesis test would be between _______ .

The power of the hypothesis test is the probability of of ________.

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The critical value for this hypothesis test would be ______.

A golfer claims that his average golf score at the course he plays regularly is less than 90. A random sample of 35 rounds of golf was selected and the scores were recorded. Assume that the standard deviation for the population of scores for this golfer is 3.4 and the true population mean for scores for this golfer is 88.2. Using α = 0.05, beta equals -----.

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 years. A random sample of 45 cars had an average age of 10.6 years. It is believed that the population standard deviation for the age of cars is 4.1 years. The Department of Transportation would like to set ? = 0.05. The test statistic for this hypothesis test would be .

The critical value for a two-tail hypothesis test when the population standard deviation is known, the sample size is 30 or more, and α = 0.01 is ________.

The test statistic for a hypothesis test _______.