Question

1. the IV(s) and its levels and the DV or the classification variable and its categories and the DV (if chi-square analysis) or the X/Y variables (if correlation or regression)
2. the nature (continuous or discrete) of the DV or the X/Y variables
3. the appropriate statistical analysis

1. Researchers evaluated whether the teen pregnancy rate at a local high school with abstinence-only sex education differed from the average teen pregnancy rate statewide. At the time of the study, the statewide rate (regardless of type of sex-education received) was 12%. A random sample of 200 female students was selected from the local school: thirty-seven of the students were either currently pregnant or had been pregnant previously, whereas 163 students were not/had never been pregnant.

2. White (2001) was interested in the effect of two different types of exercise programs for improving time to run a marathon. He was one of the first researchers to evaluate how each type of exercise program affected the running times for participants of both normal and obese body types.

Answer 1

Here the aim of the study is to see whether the teen pregnancy rate at a local high school depended on the received sex education or not. Let the proportion of the students who had been or are pregnant be and the sample size be n.

Here the null and alternative hypotheses are given by

The test statistic is given by

From the sample data,

Under the null hypothesis, the test statistic follows standard normal distribution.

The critical value , as obtained from the Biometrika table, is given by

As the observed value is more than the critical value, the null hypothesis is rejected at 5% level of significamce and hence conclude that the teen pregnancy rate at a local high school does not depend on the received sex education.

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