Question

An increased number of colleges have been using online resources to research applicants According to a study from last year, 33% of admissions omcers indicated that they visited an applying student's social networking page. A random sample of 200 admissions officers was recently selected and it was found that 79 of them visit the social networking sites of students applying to their college Using a 0.01 complete parts and below Determine the conclusion Choose the correct answer below Reject H, There is suficient evidence to support the hypothesis that the proportion of admissions of cers who visit an applying students social networking page has increased in the past year Reject Hi There is not sumcent evidence to support the typothesis that the proportion of admissions oicers who visit an applying students' social networking page has increased in the past year Do not reject Ho There is not sufficient evidence to support the hypothesis that the proportion of admissions moers who visit an applying students social networking page has increased in the past year Do not reject Hy. There is scient evidence to support the hypothesis that the proportion of admissions oficers who vist an applying students social networking page has increased in the past yea b. Determine the eve for this test D-value-Round to the decimal places as needed)

Answer 1

Here we have: n= 200 x= 79 Sample proportion: X = = = 79 Ñ = 0.395 n 200 a = 0.01 Hypothesis: H.; P=0.33 H:P> 0.33 Test statistics: Z-test z= = = p-p p(1-p) 0.395-0.33 0.33(1-0.33) 200 = 1.95 n

Correct option “C” Do not reject H. There is not sufficient evidence to support the hypothesis that the proportion of admissions officers who visit an applying students social network page has increase in the past year P-value =p (Z >|1.951) = 0.026