In a study of 100 randomly sampled 18-year-old women in an inner city neighborhood, 17 reported that they were taking birth control pills. The researchers would like to assess the evidence that the proportion of 18-year- old women using birth control pills in this neighborhood is greater than the national average of 5%. Which of the following tests is most appropriate for testing a directional alternative with a significance level of 0.05? OA. Two Sample t Test

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In a study of 100 randomly sampled 18-year-old women in an inner city neighborhood, 17 reported that they were taking birth control pills. The researchers would like to assess the evidence that the proportion of 18-year-old women using birth control pills in this neighborhood is greater than the national average of 5%. Which of the following tests is most appropriate for testing a *directional* alternative with a significance level of 0.05?

A. Two Sample t Test

B. Paired Sample t Test

C. Wilcoxon-Mann-Whitney Test

D. Sign Test

E. Binomial Test for p

F. Chi-Square Goodness-of-Fit Test
Transcribed Image Text:In a study of 100 randomly sampled 18-year-old women in an inner city neighborhood, 17 reported that they were taking birth control pills. The researchers would like to assess the evidence that the proportion of 18-year-old women using birth control pills in this neighborhood is greater than the national average of 5%. Which of the following tests is most appropriate for testing a *directional* alternative with a significance level of 0.05? A. Two Sample t Test B. Paired Sample t Test C. Wilcoxon-Mann-Whitney Test D. Sign Test E. Binomial Test for p F. Chi-Square Goodness-of-Fit Test
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Step 1

Test is that whether the proportion of 18-year old women using birth control pills in this neighborhood is greater than the national average of 5%.

Given that

Sample size n = 100

Population proportion p = 5% = 0.05

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