A sociologist randomly selects 380 females 15 to 19 years old and asks each to disclose her family structure at age 14 and whether she has hadsexual intercourse. Use the results in the accompanying table to complete parts (a) through (f) below.Click here to view the data table of family structure and sexual activity.Click here to view the Chi-Square table of critical values.(a) Compute the expected values of each cell under the assumption of independence.Had sexualBoth Biological or AdoptiveParent andSingle ParentNon-parental GuardianintercourseParentsStepparent65593242Yes88401935No(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 ofindependence.A. All expected frequencies are greater than or equal to 1.B. All expected frequencies are greater than or equal to 5.C. The expected frequencies are approximately Normal.D. All expected frequencies are greater than or equal to 10.E. No more than 20% of the expected frequencies are less than 5.(c) Compute the chi-square test statistic.X6 = (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 thehypotheses. Choose the correct answer below.O A. Ho: P1 = P2 = P3 = P4H1: At least one proportion is different from the others.B. Ho: Sexual activity and the family structure are independent.H1: Sexual activity and the family structure are dependent.O C. Ho: H1 = E, and H4 = E, and µ3 = E3 and 44 =E4H,: At least one mean is different from what is expected.What range of P-values does the test statistic correspond to? The P-value isMake the proper conclusion. Choose the correct answer below.O A. The P-value is less than a, so reject Ho. There is sufficient evidence at the a = 0.05 level of significance to conclude that sexual activity andfamily structure are related.O B. The P-value is less than a, so do not reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that sexualactivity and family structure are related.O C. The P-value is greater than a, so do not reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude thatsexual activity and family structure are related.O D. The P-value is greater than a, so reject Ho. There is sufficient evidence at the a = 0.05 level of significance to conclude that sexual activityand 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 whosexual intercourse and lived withV contributed most to the test statistic.Was the expected frequency greater than or less than the observed frequency?The observed frequency wasthan the expected frequency.What does this information tell you?A. This means that family structure does not seem 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.C. This means that family structure seems 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 theconditional distribution.Both Biological or AdoptiveParentsHad sexualParent andSingle ParentNon-parental GuardianintercourseStepparentYesNo(Round to three decimal places as needed )

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(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. O B. All expected frequencies are greater than or equal to 5. O c. The expected frequencies are approximately Normal. O D. All expected frequencies are greater than or equal to 10.

(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. O B. All expected frequencies are greater than or equal to 5. O c. The expected frequencies are approximately Normal. O D. All expected frequencies are greater than or equal to 10.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3CYU

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