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 12%
High school 25%
Higher than college 8%
Percent of population
The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 150 American adults who are Thinking Channel viewers. These data are summarized in the first row of numbers in Table 1 below. These numbers are the observed frequencies in the sample of 150 for each of the degree categories. The second row of numbers in Table 1 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 in Table 1 gives the values
= (Observed frequency - Expected frequency)2
for each of the degree categories.
Fill in the missing values of Table 1. Then, using the level of significance, perform a 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. Then complete Table 2.
Round your responses for the expected frequencies in Table 1 to at least two decimal places. Round your responses in Table 1 to at least three decimal places. Round your responses in Table 2 as specified. Send data
less hs hs college higher totsl
observed freq 17 21 100 12
expected frequency ??? 37.50 ??? 12.00
------- ???? 7.260 ???? 0
1. please answer the ??? in the chart above
2. the value of the test statistic
3. the p value
4. type of test statistic used
The solution provides step by step method for the calculation of chi square test for goodness of fit. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.