The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites bom 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: O Ho: pw = PN H1: pw PN H1:Hw 0.05

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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:
O Ho: pw = PN
H: pw > PN
H:µw <HN
Nil = Mrl:0HO
O Ho: µw = HN
H1: µw HN
O Ho: pw = PN
H:pw PN
O Ho: Hw LN
NI < Mt:H
O Ho: pw PN
H1:Pw <PN
b) Determine the test statistic. Round to two decimals.
t =
c) Find the p-value and compare it to 0.05. Select which is true of the p-value:
p =
Op-value < 0.05
Op-value = 0.05
Op-value > 0.05
d) Make a decision.
O Fail to reject the null hypothesis
O Reject the null hypothesis
e) Write the conclusion.
O There is not sufficient evidence to support the claim that whites and nonwhites have different life
spans.
O There is sufficient evidence to support the claim that whites and nonwhites have different life spans.
Transcribed Image Text: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: O Ho: pw = PN H: pw > PN H:µw <HN Nil = Mrl:0HO O Ho: µw = HN H1: µw HN O Ho: pw = PN H:pw PN O Ho: Hw LN NI < Mt:H O Ho: pw PN H1:Pw <PN b) Determine the test statistic. Round to two decimals. t = c) Find the p-value and compare it to 0.05. Select which is true of the p-value: p = Op-value < 0.05 Op-value = 0.05 Op-value > 0.05 d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that whites and nonwhites have different life spans. O There is sufficient evidence to support the claim that whites and nonwhites have different life spans.
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