Exam 9: Hypothesis Tests

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Several years ago the proportion of Americans aged 18 - 24 who invested in the stock market was 0.20. A random sample of 25 Americans in this age group was recently taken. They were asked whether or not they invested in the stock market. The results follow: Several years ago the proportion of Americans aged 18 - 24 who invested in the stock market was 0.20. A random sample of 25 Americans in this age group was recently taken. They were asked whether or not they invested in the stock market. The results follow:   At a .05 level of significance, use Excel to determine whether or not the proportion of Americans 18 - 24 years old that invest in the stock market has changed. At a .05 level of significance, use Excel to determine whether or not the proportion of Americans 18 - 24 years old that invest in the stock market has changed.

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A p-value is the

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Which of the following is an improper form of the null and alternative hypotheses?

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Fast 'n Clean operates 12 laundromats on the east side of the city. All of Fast 'n Clean's clothes dryers have a label stating "20 minutes for $1.00." You question the accuracy of the dryers' clocks and decide to conduct an observational study. You randomly select 36 dryers in several different Fast 'n Clean locations, put $1.00 in each and time the drying cycle. The sample mean drying time is 20 minutes and 25 seconds. The manufacturer of the dryer states that the standard deviation for 20-minute drying cycles is 1 minute. a. Using the sample data and α\alpha = .05, test the validity of the label on the dryers. Apply the p-value and critical value approaches to conducting the two-tail hypothesis test. b. Conduct the same two-tail hypothesis test, but this time use the confidence interval approach to hypothesis testing.

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For a sample size of 30, changing from using the standard normal distribution to using the t distribution in a hypothesis test,

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A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is

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Exhibit 9-4 A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to determine if the average age of all the students at the university is significantly different from 24. Assume the distribution of the population of ages is normal with a standard deviation of 2 years. -Refer to Exhibit 9-4. The test statistic is

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Which of the following does not need to be known in order to compute the p-value?

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In order to test the hypotheses H0: μ\mu \le 100 and Ha: μ\mu > 100 at an α\alpha level of significance, the null hypothesis will be rejected if the test statistic z is

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In tests about a population proportion, p0 represents the

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Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the distribution of the population is normally distributed. Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the distribution of the population is normally distributed.    a.State the null and alternative hypotheses. b.Using a critical value, test the hypothesis at the 10% level of significance. c.Using a p-value, test the hypothesis at the 10% level of significance. d.Using a confidence interval, test the hypothesis at the 10% level of significance. e.Could a Type II error have been committed in this hypothesis test? a.State the null and alternative hypotheses. b.Using a critical value, test the hypothesis at the 10% level of significance. c.Using a p-value, test the hypothesis at the 10% level of significance. d.Using a confidence interval, test the hypothesis at the 10% level of significance. e.Could a Type II error have been committed in this hypothesis test?

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Exhibit 9-5 Exhibit 9-5   Assume population is normally distributed. -Refer to Exhibit 9-5. The test statistic equals Assume population is normally distributed. -Refer to Exhibit 9-5. The test statistic equals

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Exhibit 9-6 A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. -Refer to Exhibit 9-6. The p-value is

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Exhibit 9-6 A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. -In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that the average price of the rooms in the sample was $112. The population standard deviation is known to be $16. Use a 0.05 level of significance and determine whether or not the average room price is significantly different from $108.50.

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In hypothesis testing, the alternative hypothesis is

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Two approaches to drawing a conclusion in a hypothesis test are

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Read the z statistics from the normal distribution table and circle the correct answer. A two-tailed test at a .0694 level of significance; z =

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Exhibit 9-5 Exhibit 9-5   Assume population is normally distributed. -Refer to Exhibit 9-5. If the test is done at a 2% level of significance, the null hypothesis should Assume population is normally distributed. -Refer to Exhibit 9-5. If the test is done at a 2% level of significance, the null hypothesis should

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More evidence against H0 is indicated by

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The error of rejecting a true null hypothesis is

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