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 (fo-E)² (ObservettequencyExpectefrequency JE Expectefrequency Round your The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 200 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 200. 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. Send data to Excel Observed frequency fo Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. (fo-ƒE)² responses to three or more decimal places. fe Expected frequency SE (fo-ƒE)² JE 12% Less than high school 26 0 High school 25% 37 0 College 128 55% 110.00 2.945 Higher than college 8% 16.00 3.063 Total 200 X

MATLAB: An Introduction with Applications
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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 Less than high school
Percent of population
(fo-fE)²
JE
Part 1
Send data to Excel
Observed
frequency
fo
The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 200 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 200. 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.
Expected
frequency
JE
(ObservettequencyExpectefequency
Expectefrequency
(Jo-¹e)²
SE
12%
Less than high
school
Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places.
(fo-fE)²
Round your
responses to three or more decimal places.
JE
26
High
school
37
High school
0
25%
0
College
128
College Higher than college
110.00
55%
2.945
Higher than
college
9
8%
16.00
3.063
Total
200
X
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 (fo-fE)² JE Part 1 Send data to Excel Observed frequency fo The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 200 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 200. 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. Expected frequency JE (ObservettequencyExpectefequency Expectefrequency (Jo-¹e)² SE 12% Less than high school Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. (fo-fE)² Round your responses to three or more decimal places. JE 26 High school 37 High school 0 25% 0 College 128 College Higher than college 110.00 55% 2.945 Higher than college 9 8% 16.00 3.063 Total 200 X
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 0.10
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.)
0
(c) Find the critical value. (Round your answer to two or more decimal
places.)
0
(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
X
Transcribed Image Text: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 0.10 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.) 0 (c) Find the critical value. (Round your answer to two or more decimal places.) 0 (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 X
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