Question

A test of hypotheses for one proportion has the following Null Hypothesis: pi = 0.33, and uses 0.10 for the level of significance.

a. If the calculated value for the associated test statistic equals -1.71, determine the p-VALUE for the test

b. If you compare the p-VALUE from Part a to the level of significance, what decision do you make?

Answer 1

Solution:

Null Hypothesis:   = 0.33

Alternative hypothesis : 0.33

a)

Test statistic z = -1..71

sign in alternative indicates that "Two tailed test"

p value = P(Z < -z) + P(Z > +z)

= P(Z < -1.71) + P(Z > +1.71)

= 0.0436 + 0.0436 ..(use z table)

= 0.0872

p value = 0.0872

b)

Given level of significance = 0.10

p value is less than .

So ,

Reject the null hypothesis.