A sociologist randomly selects 376 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 Yes No Both Biological or Adoptive Parents 32 16 Single Parent Parent and Stepparent Nonparental Guardian 43 65 61 35 83 41 (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. A. All expected frequencies are greater than or equal to 1 | B. No more than 20% of the expected frequencies are less than 5. | C. The population is approximately Normal. (c) Compute the chi-square test statistic. x = (Round to three decimal places as needed.) (d) Test whether family structure and sexual activity of 15- to 19-year-old females are independent at the a = 0.1 level of significance. State the hypotheses. Choose the correct answer below. (d) Test whether family structure and sexual activity of 15- to 19-year-old females are independent at the a = 0.1 level of significance. State the hypotheses. Choose the correct answer below. A. Ho: Sexual activity and family structure are independent. H₁ Sexual activity and family structure are dependent. = B. Ho: HE2 and μ3 E3 and μ3 E3 and μ4 = E4 H₁: H₁ #E₂ or H3 #E3 or μ3 * E3 or μ4 * E4 OC. Ho: P1 P2 P3 P4 H₁: At least one of the proportions are not equal. OD. Ho: Sexual activity and family structure are dependent. H₁: Sexual activity and family structure are independent. Determine the P-value. P-value = (Round to three decimal places as needed.) Make the proper conclusion. Choose the correct answer below. A. The P-value is less than a, so do not reject Ho. There is not sufficient evidence at the α = 0.05 level of significance to conclude that sexual activity and family structure are related. Make the proper conclusion. Choose the correct answer below. A. The P-value is less than a, so do not reject Ho. There is not sufficient evidence at the α = 0.05 level of significance to conclude that sexual activity and family structure are related. B. The P-value is less than a, so reject Ho. There is sufficient evidence at the α = 0.05 level of significance to conclude that sexual activity and family structure are related. C. The P-value is greater than a, so reject Ho. There is sufficient evidence at the α = 0.05 level of significance to conclude that sexual activity and family structure are related. D. The P-value is greater than a, so do not reject Ho. There is not sufficient evidence at the α = 0.05 level of significance to conclude that sexual activity and family structure are related. (e) Compare the observed frequencies with the expected frequencies. Which cell contributed most to the test statistic? The cell for females who sexual intercourse and lived with Was the expected frequency greater than or less than the observed frequency? The observed frequency was than the expected frequency. What does this information tell you? contributed most to the test statistic. What does this information tell you? A. This means that family structure seems to have an effect on whether or not a child has had sexual intercourse. ○ B. There were not enough subjects in the sample to form any conclusions from the data. O C. This means that family structure does not seem to have an effect on whether or not a child has had sexual intercourse. (f) Construct a conditional distribution by family structure and draw a bar graph. Does this evidence support your conclusion in part (d)? Fill in the conditional distribution. Had sexual intercourse Both Biological or Adoptive Parents Yes No (Round to three decimal places as needed.) Choose the correct bar graph below. ○ A. 0.6 0.4 0.2- Click to select your ensworld) Yes No Single Parent ○ B. Parent and Stepparent 0.61 0.4- Yes 0.2- No Nonparental Guardian