Question

​75% of students who enroll in summer school only take one class. We believe the proportion may be different. Use alpha​ = 0.02, beta​ = 0.02 and the maximum allowable error of 0.05 to find the sample size for a hypothesis test.

A.

1339

B.

1507

C.

1258

D.

1170

Answer 1

Hypothesized mean                =p o						=	0.75
true mean                                    =pa						=	0.8
for 0.02 level and two tailed test critival value Zα/2						±	2.33
for 0.02 level of type II error critival value Zβ						=	2.05
required sample size             =n					((zα/2(√po(1-po)+zβ(√pa(1-pa))/(p-po))2
						=	1339.00

option A is correct