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. Highest degree earned Less than high school High school College Higher than college Percent of population 12% 25% 55% 8% 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. −fOfE2 fE = −Observed frequencyExpected frequency2 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 −fOfE2fE responses to three or more decimal places. Send data to Excel Less than high school High school College Higher than college Total Observed frequency fO fO 14 fO 33 fO 122 fO 11 180 Expected frequency fE fE fE 45.00 fE fE 14.40 −fOfE2fE −fOfE2fE −fOfE2fE 3.200 −fOfE2fE −fOfE2fE 0.803 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) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) (c) Find the critical value. (Round your answer to two 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? 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. Highest degree earned Less than high school High school College Higher than college Percent of population 12% 25% 55% 8% 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. −fOfE2 fE = −Observed frequencyExpected frequency2 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 −fOfE2fE responses to three or more decimal places. Send data to Excel Less than high school High school College Higher than college Total Observed frequency fO fO 14 fO 33 fO 122 fO 11 180 Expected frequency fE fE fE 45.00 fE fE 14.40 −fOfE2fE −fOfE2fE −fOfE2fE 3.200 −fOfE2fE −fOfE2fE 0.803 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) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) (c) Find the critical value. (Round your answer to two 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? Yes No

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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

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.

Highest degree earned	Less than high school	High school	College	Higher than college
Percent of population	12%	25%	55%	8%

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.

−fOfE2

=	−Observed frequencyExpected frequency2

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

−fOfE2fE

responses to three or more decimal places.

Send data to Excel

	Less than high school	High school	College	Higher than college	Total
Observed frequency fO	fO 14	fO 33	fO 122	fO 11	180
Expected frequency fE	fE	fE 45.00	fE	fE 14.40
−fOfE2fE	−fOfE2fE	−fOfE2fE 3.200	−fOfE2fE	−fOfE2fE 0.803

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)
(b) Find the value of the test statistic. (Round your answer to two or more decimal places.)
(c) Find the critical value. (Round your answer to two 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? Yes No

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