Acne is a common skin disease that affects most adolescents and can continue int

Question

Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for twelve weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost dear skin at the end of the twelve-week period. The figure below gives counts and chi-square output for this study. Is there significant evidence that the four treatments perform differently? If so, how do they compare? What are the null and alternative hypotheses? H_0: There is an association between acne treatment type and outcome H_a: H_0 is not true. H_0: There is no association between acne treatment type and outcome H_a: H_0 is not true. What is the value of the test statistic? (Enter your answer to three decimal places.) What is the p value of the test? (Enter your answer to three decimal places.) What is your conclusion? (Use a significance level of 0.05.) There is no evidence of a relationship between treatment type and outcome. There is strong evidence of a relationship between treatment type and outcome. Epiduo has the highest success rate at 21.5%, whereas the placebo group had the lowest success rate with only 5.6%.

Explanation / Answer

Ho: There is no association between acne treatment type and outcome.

H1: Ho is not true.

Option B is correct.

From the output,

X2 = 11.967

P - value = 0.007

There is strong evidence. Option B is correct.

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