[ PLEASE SHOW ALL WORK WITHOUT THE USE OF EXCEL ] Advertisers need to know which

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[ PLEASE SHOW ALL WORK WITHOUT THE USE OF EXCEL ]

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

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.)

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.)

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

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

Explanation / Answer

applying chi square goodness of fit test:

a)

from ab voe test statstic =31.300

degree of freedom =categories-1=6-1=5

p value =0.0000

b)

Most purchases are by the 18-24 age group

The least purchases are by the 65+ age group

c)

Yes

observed Expected Chi square category Probability(p) Oi Ei=total*p R2i=(Oi-Ei)2/Ei 18-24 1/6 38.000 20.000 16.200 25-34 1/6 28.000 20.000 3.200 35-44 1/6 19.000 20.000 0.050 45-54 1/6 16.000 20.000 0.800 55-64 1/6 10.000 20.000 5.000 65+ 1/6 9.000 20.000 6.050 total 1.000 120 120 31.300

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