A new cream that advertises 52% of women over the age of 50 will experience skin improvement from using their product. A study was conducted in which a sample of 170 women over the age of 50 used the new cream for 6 months. Of those 170 women, 76 of them reported skin improvement (as judged by a dermatologist). Is this evidence that the cream will improve the skin of less than 52 % of women over the age of 50? Perform a hypothesis test using the 0.05 level of significance. a. Calculate the test statistic. Show the formula you are using.b. Calculate the p valuec. Explain what this p value means in the context of this problem using complete sentencesd. Determine if you should reject or accept the null hypothesis and why.

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Description: A new cream that advertises 52% of women over the age of 50 will experience skin improvement from using their product. A study was conducted in which a sample of 170 women over the age of 50 used the new cream for 6 months. Of those 170 women, 76 of

Given, p = 0.52 n = 170 X = 76 α = 0.05 To find, Test the claim that the cream will improve…

Answered: A new cream that advertises 52% of…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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A new cream that advertises 52% of women over the age of 50 will experience skin improvement from using their product. A study was conducted in which a sample of 170 women over the age of 50 used the new cream for 6 months. Of those 170 women, 76 of them reported skin improvement (as judged by a dermatologist). Is this evidence that the cream will improve the skin of less than 52 % of women over the age of 50? Perform a hypothesis test using the 0.05 level of significance.

a. Calculate the test statistic. Show the formula you are using.

b. Calculate the p value

c. Explain what this p value means in the context of this problem using complete sentences

d. Determine if you should reject or accept the null hypothesis and why.

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