Question

Suppose that at a particular college, a random sample found that 25 out of 100 students who use the internet use Twitter. Does this provide evidence that the true proportion of students at this college who use Twitter is higher than the nationally stated 15%? Use a significance level of 0.05 and the p-value to give your decision. The correct hypotheses to use are: Ho: p = 0.15 HA: p > 0.15 Blank #1: Report the test statistic to two decimal places Blank #2: Report the p-value to four decimal places. Blank #3: Give the test decision: (reject or do not reject) H. Blank #4: Evidence _(favors or does not favor) that the true proportion of students at this college who use Twitter is higher than the nationally stated 15%.

Answer 1

n=100 x = 2026 p= o aro X2ook lou To test Ho: P = 0.15 rs Hi: P >0.165 Test Stahstic, 2- P-P P(1-P) = 0.25-016 Vanxo.gr 105 n 2.80 P-value= P[z 2) 2.80 0.0026 Pralue <X=0.00, cu reject to evidence favors that the frau Proportion of students at this College who use Twitter is higher than the nationally Stuted 15 %.