The General Social Survey asked a sample of 2780 adults how many children they had, and also how many siblings (brothers and sisters) they had. The results are summarized in the following contingency table.

a. Compute the expected frequencies.

b. Compute the value of the test statistic.

c. How many degrees of freedom are there?

d. Test the hypothesis of independence. Use the α = 0.05 level of significance. What do you conclude?

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Number of Children Siblings 0 1 2 3 4 More Than 4 0 60 19 34 15 10 1 189 97 163 63 225 6 29 12 2 179 98 137 81 41 20 3 124 85 132 83 31 16 4 85 53 88 61 32 22 More Than 4 128 121 175 156 77 58