The US. 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 5') Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 119 whites surveyed, the mean life span was 47.8 years with a standard deviation of 11.4 years and of the 84 nonwhites, the mean life span was 37.5 years with a standard deviation of 15.9 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 nu, g 5 % of all white people born in 1900 and mm S 5 % of all nonwhite people born in 1900? Yes No b. Isnw 2 30andnnw 2 30? Yes No Test the claim: a. Determine the null and alternative hypotheses. Hoiw ? a \"my Ha! paw ? B um b. Determine the test statistic. Round to four decimal places. t= C] c. Find the p-value. Round to 4 decimals. p-value = 0.0100