Advertisers need to know which age groups are likely to see their ads. Purchasers of 120...

Advertisers need to know which age groups are likely to see their ads. Purchasers of 120 copies of Cosmopolitan are shown by age group.

Purchaser Age	Units Sold
18–24		38
25–34		28
35–44		19
45–54		16
55–64		10
65+		9
Total		120

(a) Calculate the chi-square test statistic, degrees of freedom, and the p-value. Assume the expected frequencies are equal. (Perform a uniform goodness-of-fit test. Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.)


Test statistic
d.f.
p-value

(b) Choose the correct answer. (You may select more than one answer. Click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.)

The least purchases are by the 35-44 age group.unanswered
Most purchases are by the 18-24 age group.unanswered
The least purchases are by the 65+ age group.unanswered
Most purchases are by the 45-54 age group.unanswered

(c) At α = .01, this sample contradicts the assumption that readership is uniformly distributed among these six age groups.

Yes
No

Expert Solution

(a) Calculate the chi-square test statistic, degrees of freedom, and the p-value. Assume the expected frequencies are equal. (Perform a uniform goodness-of-fit test. Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.)

Test statistic   = 31.30
d.f.   =5
p-value   =0.00008

(b) Choose the correct answer.
Most purchases are by the 18-24 age group
The least purchases are by the 65+ age group

(c) At α = .01, this sample contradicts the assumption that readership is uniformly distributed among these six age groups.
Yes

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orchestra answered 1 year ago

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