Part 2 Answer the following to summarize the test of the hypothesis that the distribution of highest degrees earned by Thinking Channel viewers is the same as the distribution of highest degrees earned by American adults as a whole. Use the 0.05 level of significance for the test. (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) 2+, Chi-square, or F? (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) ☐ (c) Find the p-value. (Round your answer to three or more decimal places.) (d) Can we conclude that the distribution of highest degrees earned by Thinking Channel viewers is different from the distribution of highest degrees earned by American adults as a whole? O Yes No Executives at The Thinking Channel have decided to test whether the educational backgrounds of the channel's viewers are different from the educational backgrounds of American adults (ages 25 and over) as a whole. The executives have the following information on the American adult ? population as a whole, obtained from a recent U.S. Current Population Survey. College Highest degree earned Less than high school High school Percent of population 12% 25% 55% Higher than college 8% 00 ☑ The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 180 American adults who are Thinking Channel viewers. These data are summarized by the first row of numbers in the table below. These numbers are the frequencies for the degree categories that were observed in the sample of 180. The second row of numbers gives the expected frequencies under the assumption that the distribution of highest degrees earned by Thinking Channel viewers is the same as the distribution of highest degrees earned by American adults as a whole. The bottom row of numbers gives the following value for each of the degree categories. (fo-ƒE)² SE (Observed frequency - Expected frequency)² Expected frequency Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your (So-SE) responses to three or more decimal places. SE Send data to Excel Observed frequency fo Expected frequency SE (So-fE)² JE Less than high school High school College Higher than college Total 16 38 110 16 180 ☐ 99.00 14.40 ☐ 1.222 0.178
Part 2 Answer the following to summarize the test of the hypothesis that the distribution of highest degrees earned by Thinking Channel viewers is the same as the distribution of highest degrees earned by American adults as a whole. Use the 0.05 level of significance for the test. (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) 2+, Chi-square, or F? (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) ☐ (c) Find the p-value. (Round your answer to three or more decimal places.) (d) Can we conclude that the distribution of highest degrees earned by Thinking Channel viewers is different from the distribution of highest degrees earned by American adults as a whole? O Yes No Executives at The Thinking Channel have decided to test whether the educational backgrounds of the channel's viewers are different from the educational backgrounds of American adults (ages 25 and over) as a whole. The executives have the following information on the American adult ? population as a whole, obtained from a recent U.S. Current Population Survey. College Highest degree earned Less than high school High school Percent of population 12% 25% 55% Higher than college 8% 00 ☑ The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 180 American adults who are Thinking Channel viewers. These data are summarized by the first row of numbers in the table below. These numbers are the frequencies for the degree categories that were observed in the sample of 180. The second row of numbers gives the expected frequencies under the assumption that the distribution of highest degrees earned by Thinking Channel viewers is the same as the distribution of highest degrees earned by American adults as a whole. The bottom row of numbers gives the following value for each of the degree categories. (fo-ƒE)² SE (Observed frequency - Expected frequency)² Expected frequency Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your (So-SE) responses to three or more decimal places. SE Send data to Excel Observed frequency fo Expected frequency SE (So-fE)² JE Less than high school High school College Higher than college Total 16 38 110 16 180 ☐ 99.00 14.40 ☐ 1.222 0.178
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 80E
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