A local newspaper asked each person in a random sample of 44 subscribers which s

Question

A local newspaper asked each person in a random sample of 44 subscribers which section of the paper he or she read first. The resulting data are shown in the accompanying table.

A chi-square test is to be performed to determine if the data provides evidence that the proportions choosing each of the sections are not the same. If the null hypothesis is that there is no difference in the proportions, what is the value of the chi-square test statistic?

0.25

1.82

1.95

20

Section Frequency National News 10 Local News 12 Sports 14 Business 8

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Frequency
Expected: All cells in equal proportion

Hence,

Chi - square test statistic = 1.82

Option b is correct.

N DF Chi-Square P-value 44 3 1.8181818 0.611

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