Question

It is believed that nearsightedness affects 8 % of children. In a Random Sample of 194 children, 21 are nearsighted. Does the data prove that 8% is an inaccurate value? Use 1% level of significance.

A. State the null Hypotheses

B State the alternative hypotheses

C. One or Two Tail Test?

D. State the critical Value of the hypothesis test.

E. Illustrate the rejection region using a graph.

F. What is the test Statistic?

G. What is the P value for the test statistic?

H. Interpret your results.

Answer 1

A.

Null hypotheses :

B.

Alternative hypotheses :

C.

This a Two-tailed test because we want to check whether 8% is an inaccurate value or not. True value can be more than 8% or less than 8%

D.

Critical value :

E.

F.

G.

H.

Hence, we conclude that the data does not prove that 8% is an inaccurate value.

We can say that percentage of children affected by nearsightedness is not different than 8%