A recent survey asked adults about their beliefs about premarital sex and whether they thought birth control should be made available to teenagers. The data are below. Test whether beliefs about premarital sex and beliefs about birth control are independent using a 5% significance level. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available. Teenage Birth Control Premarital Sex Disagree Agree Total Always wrong 98 68 166 Sometimes Wrong 78 79 157 Not wrong 138 237 375 Total 314 384 698
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In this case, we are testing whether beliefs about premarital sex and beliefs about birth control are independent. - Null Hypothesis (H0): Beliefs about premarital sex and beliefs about birth control are independent. - Alternative Hypothesis (H1): Beliefs about Show more…
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A researcher has conducted a survey on sexual attitudes for a sample of 317 teenagers. The respondents were asked whether they considered premarital sex to be "always wrong" or "OK under certain circumstances." The following tables summarize the relationship between responses to this item and several other variables. For each table, assess the strength and pattern of the relationship and write a paragraph interpreting these results. a. Attitudes toward premarital sex by gender: $$ \begin{array}{lccc} \text { Premarital Sex } & \text { Female } & \text { Male } & \text { Totals } \\ \hline \text { Always wrong } & 90 & 105 & 195 \\ \text { Not always wrong } & \frac{65}{155} & \frac{57}{162} & \frac{122}{317} \end{array} $$ b. Attitudes toward premarital sex by courtship status: $$ \begin{array}{lccc} \text { Premarital Sex } & \text { No } & \text { Yes } & \text { Totals } \\ \hline \text { Always wrong } & 148 & 47 & 195 \\ \text { Not always wrong } & \frac{42}{190} & \frac{80}{127} & \frac{122}{317} \end{array} $$ c. Attitudes toward premarital sex by social class $$ \begin{array}{lccc} & \overline{\text { Blue }} & \text { White } & \\ \text { Premarital Sex } & \text { Collar } & \text { Collar } & \text { Totals } \\ \hline \text { Always wrong } & 72 & 123 & 195 \\ \text { Not always wrong } & \frac{47}{119} & \frac{75}{198} & \frac{122}{317} \end{array} $$
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Teens and sex The Gallup Youth Survey asked a random sample of U.S. teens aged 13 to 17 whether they thought that young people should wait to have sex until marriage. The Minitab output below shows the results of a significance test and a 95% confidence interval based on the survey data. (a) Define the parameter of interest. (b) Check that the conditions for performing the significance test are met in this case. (c) Interpret the P-value in context. (d) Do these data give convincing evidence that the actual population proportion differs from 0.5? Justify your answer with appropriate evidence.
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