The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for whites and 33 years for nonwhites. (Click here for reference data ") Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 118 whites surveyed, the mean life span was 48.3 years with a standard deviation of 11.5 years and of the 83 nonwhites, the mean life span was 36.6 years with a standard deviation of 15.6 years. Conduct a hypothesis test at the 0.1 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: a. Is it safe to assume that nw - 5% of all white people born in 1900 and nnw 5% of all nonwhite people born in 1900? No Yes b. Is nw 2 30 and nnw 2 30 ? o No Yes K Test the claim: a. Determine the null and alternative hypotheses. Ho: Hu ? + know Ha: Hw ? + know b. Determine the test statistic. Round to four decimal places. t = c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. Fail to reject the null hypothesis. Reject the null hypothesis. e. Write the conclusion. There is not sufficient evidence to support the claim that whites and nonwhites have different mean life spans. There is sufficient evidence to support the claim that whites and nonwhites have different mean life spans