c) Is there a relationship between whether an individual attended religious services in the last week and his/her education level? Use a 5% level of significance. Show the expected counts and explain why it is appropriate to analyze the data with a chi-square test. Include the test statistic value and p-value in your answer and state your conclusion in the context of the question.

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Is there a relationship between regularly attending religious services and
education level? The General Social Survey (GSS) asked a random sample of subjects with a
high school or above degree the following question: “Have you attended religious services in the
last week?" Their responses are summarized in the table below.
High School
300
660
Highest Degree Held
Bachelors
109
196
Associates
Attended services
Did not attend services
Graduate
57
79
46
76
a) Manually compute the expected counts for the left-hand column of cells (High School) in the
table. Show your work.
b) Manually compute the contribution of the upper left cell (Attended services / High School) to
the chi-squared statistic. Show your work.
Transcribed Image Text:Is there a relationship between regularly attending religious services and education level? The General Social Survey (GSS) asked a random sample of subjects with a high school or above degree the following question: “Have you attended religious services in the last week?" Their responses are summarized in the table below. High School 300 660 Highest Degree Held Bachelors 109 196 Associates Attended services Did not attend services Graduate 57 79 46 76 a) Manually compute the expected counts for the left-hand column of cells (High School) in the table. Show your work. b) Manually compute the contribution of the upper left cell (Attended services / High School) to the chi-squared statistic. Show your work.
c) Is there a relationship between whether an individual attended religious services in the last
week and his/her education level? Use a 5% level of significance. Show the expected counts and
explain why it is appropriate to analyze the data with a chi-square test. Include the test statistic
value and p-value in your answer and state your conclusion in the context of the question.
d) Assume there is significant evidence of a relationship. Show the individual cell contributions
to the chi-squared statistic and use them to explain what the data tells us about the nature of the
relationship.
Transcribed Image Text:c) Is there a relationship between whether an individual attended religious services in the last week and his/her education level? Use a 5% level of significance. Show the expected counts and explain why it is appropriate to analyze the data with a chi-square test. Include the test statistic value and p-value in your answer and state your conclusion in the context of the question. d) Assume there is significant evidence of a relationship. Show the individual cell contributions to the chi-squared statistic and use them to explain what the data tells us about the nature of the relationship.
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