7) The following questions ask you to interpret the following table Assume the t

Question

7) The following questions ask you to interpret the following table Assume the table is set up in the standard way. Which variable is hypothesized to be dependent/response and which is hypothesized to be independent/explanatory? [2 points] Find the expected frequency for the first cell. What is the residual for the first cell? [2 points] Interpret the chi-squared statistic that you are given. [3 points] What is one general problem with the chi-squared statistic? [1 point] Suppose that we had a much smaller sample size and the expected frequencies for each cell were less than 5 observations per cell. What would you do? [2 points] a. b. c. d. e. Gender Level of Importance of Religion Very Important Not Important Fairly Total Important Female 32 56 39 127 Male 31 43 25 Total 63 64 228 x2 1.34 Source: https:onlinecourses.science.psu.edu/stat200/node/74

Explanation / Answer

a) Dependent variable : Level of importance of religion

Independent variable : Gender

b) Expected frequency for first cell = 127*63/228 = 35

Residual = 35 - 32 = 3

c) Chi square critical value = 7.81

Here Chi square test statistic < 7.81

we conclude that level of region and gender are independent

d) Chi square test is always one tailed test and it is suitable for only categorical data

e) Degres of freedom will decrease

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