Question

In: Statistics and Probability

​75% of students who enroll in summer school only take one class. We believe the proportion...

​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

Solutions

Expert Solution

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

orchestra answered 1 year ago
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