Search ..ooo F 3:48 PM K Back Mathematical Statistics WeBwork Previous Problem L

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Search ..ooo F 3:48 PM K Back Mathematical Statistics WeBwork Previous Problem List (3 points) A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 57 women over the age of 50 used the new cream for 6 months. Of those 57 women, 33 of them reported skin improvement as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 60% of women over the age of 50? Test using a 0.05. (a Test statistic: 2 3244 (b) Critical Value (c) The final conclusion is O A. There is not sufficient evidence to reject the null hypothesis that p 30.6. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 60% of women over 50. B. We can reject the nu hypothesis that p 0.6 and accept that p 0.6. That is, the cream can improve the skin of more than 60% of women over 50. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Previous Courses Calendar To Do Notifications Messages

Explanation / Answer

To find the critical value we use the standard normal table for z statistic and at alpha = 0,05

critical value = 1.96

In hypothesis testing, a critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis. If the absolute value of your test statistic is greater than the critical value, you can declare statistical significance and reject the null hypothesis.

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