Question 13 (chap 10) A sociologist claims that the age distribution for the residents of a certain city is different than it was 10 years ago. The distribution of ages 10 years ago is shown in the table below.You randomly select 400 residents and record the age of each.The survey results are shown in the table. At a = 0.05 perform a chi-square goodness-of-fit test to test whether the distribution has changed. a. Verify that the expected frequency is at least 5 for each category. b. Identify the claimed distribution and state Ho and Ha c. Specify the level of significance a. d. Determine the degrees of freedom.. e. Determine the critical value and the rejection region. f. Find the chi-square test statistic. Sketch a graph. g. Decide whether to reject the null hypothesis. h. Interpret the decision in the context of the original claim. For Q? 13 0-9 16% 76 10-19 20% 84 20-29 8% 30 30-39 14% 60 40-49 15% 54 50-59 12% 40 60-69 10% 42 70+ 5% 14

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Question 13 (chap 10)
A sociologist claims that the age distribution for the residents of a certain city is different than it
was 10 years ago. The distribution of ages 10 years ago is shown in the table below.You
randomly select 400 residents and record the age of each.The survey results are shown in the
table. At a = 0.05 perform a chi-square goodness-of-fit test to test whether the distribution has
changed.
a. Verify that the expected frequency is at least 5 for each category.
b. Identify the claimed distribution and state Ho and Ha
c. Specify the level of significance a.
d. Determine the degrees of freedom..
e. Determine the critical value and the rejection region.
f. Find the chi-square test statistic. Sketch a graph.
g. Decide whether to reject the null hypothesis.
h. Interpret the decision in the context of the original claim.

Image Transcription

Question 13 (chap 10) A sociologist claims that the age distribution for the residents of a certain city is different than it was 10 years ago. The distribution of ages 10 years ago is shown in the table below.You randomly select 400 residents and record the age of each.The survey results are shown in the table. At a = 0.05 perform a chi-square goodness-of-fit test to test whether the distribution has changed. a. Verify that the expected frequency is at least 5 for each category. b. Identify the claimed distribution and state Ho and Ha c. Specify the level of significance a. d. Determine the degrees of freedom.. e. Determine the critical value and the rejection region. f. Find the chi-square test statistic. Sketch a graph. g. Decide whether to reject the null hypothesis. h. Interpret the decision in the context of the original claim.

For Q? 13
0-9
16%
76
10-19
20%
84
20-29
8%
30
30-39
14%
60
40-49
15%
54
50-59
12%
40
60-69
10%
42
70+
5%
14

Image Transcription

For Q? 13 0-9 16% 76 10-19 20% 84 20-29 8% 30 30-39 14% 60 40-49 15% 54 50-59 12% 40 60-69 10% 42 70+ 5% 14

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