A recent year was randomly picked from 1985 to the present. In that year, there
ID: 3217083 • Letter: A
Question
A recent year was randomly picked from 1985 to the present. In that year, there were 2,051 Hispanic students at Cabrillo College out of a total of 12,328 students. At Lake Tahoe College, there were 371 Hispanic students out of a total of 2,441 students. In general, do you think that the percent of Hispanic students at the two colleges is basically the same or different? What type of hypothesis test should be used to see if the two groups are different? What type of statistics test is appropriate for this question? We hypothesize that the proportion of Hispanics are the same in these two colleges. What is the value of the test statistic? What is the p-value for this hypothesis test? At the 5% significance level, do we reject or not reject the null hypothesis that the proportions of Hispanics are the same in these two colleges?
Explanation / Answer
null hypothesis: % of Hispanic stuident is independent colleges
alternate hypothesis: % of Hispanic stuident is not independent colleges
we should use chi square test
test stat chi square =3.074
p value =0.0795
we fail to reject null as p value is greater then 0.05 level
Observed O hispanic not hispanic Total Cabrillo 2051 10277 12328 Tahoe 371 2070 2441 Total 2422 12347 14769 Expected E=rowtotal*column total/grand total hispanic not hispanic Total Cabrillo 2021.695 10306.305 12328 Tahoe 400.305 2040.695 2441 Total 2422 12347 14769 chi square =(O-E)^2/E hispanic not hispanic Total Cabrillo 0.425 0.083 0.508 Tahoe 2.145 0.421 2.566 Total 2.570 0.504 3.074