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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 Percent of population Less than high school (fo-JE)² JE 12% High school 25% College Higher than college (Observed frequency - Expected frequency)² Expected frequency 55% The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 160 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 160. 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. 8%

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 Percent of population Less than high school (fo-JE)² JE 12% High school 25% College Higher than college (Observed frequency - Expected frequency)² Expected frequency 55% The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 160 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 160. 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. 8%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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.

 

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 Percent of population 12% (fo-fz)² JE High school 25% College Higher than college (Observed frequency - Expected frequency)² Expected frequency 55% The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 160 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 160. 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. 8%
Transcribed Image Text: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 Percent of population 12% (fo-fz)² JE High school 25% College Higher than college (Observed frequency - Expected frequency)² Expected frequency 55% The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 160 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 160. 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. 8%
Observed frequency fo Expected frequency SE 2 (ƒo¯ƒE)² JE Less than high school 19 High school 30 40.00 2.500 College Higher than college 99 88.00 1.375 12 Total 160
Transcribed Image Text:Observed frequency fo Expected frequency SE 2 (ƒo¯ƒE)² JE Less than high school 19 High school 30 40.00 2.500 College Higher than college 99 88.00 1.375 12 Total 160
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