The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test at the 0.05 level of significance to see if the mean life spans in the county were the same for whites and nonwhites. a) The null and alternative hypothesis would be: H0:pW=pNH0:pW=pN H1:pW≠pNH1:pW≠pN H0:pW=pNH0:pW=pN H1:pW>pNH1:pW>pN H0:pW=pNH0:pW=pN H1:pWμNH1:μW>μN b) Determine the test statistic. Round to two decimals. t=t= c) Find the p-value and compare it to 0.05. Select which is true of the p-value: p = p-value < 0.05 p-value = 0.05 p-value > 0.05 d) Make a decision. Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. There is sufficient evidence to support the claim that whites and nonwhites have different life spans. There is not sufficient evidence to support the claim that whites and nonwhites have different life spans.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test at the 0.05 level of significance to see if the mean life spans in the county were the same for whites and nonwhites.

a) The null and alternative hypothesis would be:

H0:pW=pNH0:pW=pN
H1:pW≠pNH1:pW≠pN
H0:pW=pNH0:pW=pN
H1:pW>pNH1:pW>pN
H0:pW=pNH0:pW=pN
H1:pW<pNH1:pW<pN
H0:μW=μNH0:μW=μN
H1:μW≠μNH1:μW≠μN
H0:μW=μNH0:μW=μN
H1:μW<μNH1:μW<μN
H0:μW=μNH0:μW=μN
H1:μW>μNH1:μW>μN

b) Determine the test statistic. Round to two decimals.

t=t=

c) Find the p-value and compare it to 0.05. Select which is true of the p-value:

p =

p-value < 0.05
p-value = 0.05
p-value > 0.05

d) Make a decision.

Fail to reject the null hypothesis
Reject the null hypothesis

e) Write the conclusion.

There is sufficient evidence to support the claim that whites and nonwhites have different life spans.
There is not sufficient evidence to support the claim that whites and nonwhites have different life spans.

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