Mth 139 Quiz Name I. A pharmaceutical company wishes to test a new drug with the

Question

Mth 139 Quiz Name I. A pharmaceutical company wishes to test a new drug with the expectaion of lowering cholesterol levels. Tem subjects are randomly selected and peetested. The subjects were placed on the drug for a period of 6 moeths, afher which their cholesterol levels were sested again. The results are listed below. Test the company's claim that the drug lowers cholesterol levels. Use -001 Assumn the distribution is normally di ibuted 68 190 240 0 250 1205 250 11901 225 170 Test Statistic P-Value: Conclusion: (2 part) 2. In a survey of400 adults who live in an urban area, 80% said they use the Internet In a survey of 300 adults who live in a rural area, 25% said they use the Internet. Can you support the claim that the proportion of adults who use the Internet is greater for adults who live in an urban area than for adults who live in a rural area? Use =0.05. Test Statistic: P-Valuc: Conclusion: (2 part)

Explanation / Answer

Since the null hypothesis states that P1=P2, we use a pooled sample proportion (p) to compute the standard error of the sampling distribution.
p = (p1 * n1 + p2 * n2) / (n1 + n2)

so putting the given values in the equation

p = (0.8 * 400 + 0.25 * 300) / (400+300)=
0.564

Compute the standard error (SE) of the sampling distribution difference between two proportions.
SE = sqrt{ p * ( 1 - p ) * [ (1/n1) + (1/n2) ] }

= sqrt( 0.564 * ( 1 - 0.564 ) * ( (1/400) + (1/300) ))
= 0.037

The test statistic is a z-score (z) defined by the following equation.
z = (p1 - p2) / SE

Z = (0.8-0.25)/0.037
= 14.86

so from the z table the p value is 1 , hence we fail to reject the null hypothesis at an alpha of 0.05

Please note that we can answer only 1 question at a time

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