Question

A sociologist randomly selects 382 females 15 to 19 years old and asks each to disclose her family structure at age 14 and whether she has had sexual intercourse. Use the results in the accompanying table to complete parts (a) through (f) below. Click the icon to view the data table of family structure and sexual activity. (a) Compute the expected values of each cell under the assumption of independence. Had sexual intercourse Both Biological or Adoptive Parents Single Parent Non-parental Guardian Parent and Stepparent 46 Yes No (Round to two decimal places as needed.) (b) Verify that the requirements for performing a chi-square test of independence are satisfied. Select all requirements for a chi-square test of independence. O A. All expected frequencies are greater than or equal to 1. B. All expected frequencies are greater than or equal to 5. O C. The expected frequencies are approximately Normal. O D. No more than 20% of the expected frequencies are less than 5. O E. All expected frequencies are greater than or equal to 10 (c) Compute the chi-square test statistic. x = (Round to three decimal places as needed.) Click to select your answer(s) and then click Check Answer.

Answer 1

The statistical software output for this problem is :

Contingency table results: Rows: var3 Columns: None Cell format Count (Expected count) Yes APSP PS NPG Total 34 63 46 61 27.24) (80.1) (42.72) (53.94) 17 87 34 40 (23.76) (699) (7.28) (47.06) 51 150 80 101 382 204 2,040 178 No Total Chi-Square test: Statistic DF Value Chi-square 3 13.968078 P-value 0.0029

Option B

Test statistics $\chi^2$ = 13.968