Question

A random sample of 200 economics majors show that 90 percent of those sampled love statistics. Another random sample of 100 finance majors is taken and 85 percent of those love statistics. Using a 0.05 level of significance, test the claim that a higher proportion of economics majors love statistics that finance majors. What is the p-value of your test statistic?

Answer 1

Given :-

n1 = 200

p1 = 0.90

n2= 100

p2 = 0.85

P1^ = (x1/n2)

p2^ = (x2/n2)

p^ = [ (n1*p1)+(n2*p2) ] / (n2+n2)

Test Hypothesis :-

Ho: p1 = p2

Ha: p1 > p2

Test statistic :-

Z = 1.27

P-value :-

P = 0.1017

Conclusion :-

P-value is greater than alpha=0.05 , then we can conclude that do not reject the null hypothesis (Ho).