A large clinical trial of the effect of diet on breast cancer assigned women at random to either a normal diet or a low-fat diet. To check that the random assignment did produce comparable groups, we can compare the two groups at the start of the study. Asked if there is a family history of breast cancer, 3396 of the 19,541 women in the low-fat group and 4929 of the 29,294 women in the control group said “yes.” Does this data provide evidence of a difference in the observed proportions of a family history of breast cancer? Assume α = .05; show work. What are the null hypothesis H0 and the alternative hypothesis Ha. Identify the rejection region. Compute the test statistic State your conclusion, using α = .05. What is the p-value of the test statistic?

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A large clinical trial of the effect of diet on breast cancer assigned women at random to either a normal diet or a low-fat diet. To check that the random assignment did produce comparable groups, we can compare the two groups at the start of the study. Asked if there is a family history of breast cancer, 3396 of the 19,541 women in the low-fat group and 4929 of the 29,294 women in the control group said “yes.” Does this data provide evidence of a difference in the observed proportions of a family history of breast cancer? Assume α = .05; show work.

  1. What are the null hypothesis H0 and the alternative hypothesis Ha. 

  2. Identify the rejection region.

  3. Compute the test statistic 

  4. State your conclusion, using α = .05. 

  5. What is the p-value of the test statistic?

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