3.

How big is your family? A 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. Number of Children Siblings 0 1 2 3 4 More than 4 105 101 165 141 12 35 1 101 94 153 141 17 23 2 115 159 147 25 14 M 3 114 109 168 134 40 106 116 167 115 14 40 More than 4 115 92 158 117 27 18 Send data to Excel Screenshot 2021-12-10 104525 - Windows Photo Viewer Part: 0 / 2 File * Print * E-mail Burn * Open * Part 1 of 2 (a) Compute the expected frequencies under the null hypothesis. Round your answers to two decim Number of Children b. Compute the value of the test statistic. Siblings 0 2 More than 4 101.20 164.15 134.54 21.32 28.77 c. How many degrees of freedom are there? 104.68 95.43 154.79 126.86 20.11 27.13 2 108.05 159.76 20.75 28.00 d. Test the hypothesis of independence. Use the a = 0.05 level of significance. What do you 3 117.55 107.15 173.81 142.45 22.58 30.46 conclude? 110.42 163.28 21.21 28.62 More than 4 104.29 95.07 154.21 126.38 20.03 27.03 X