Question

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.

Test H0 : p=0.25 vs Ha : p<0.25 using the sample results p^=0.17 with n=100

Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.
test statistic=

p value=

Answer 1

Solution

Null hypothesis,

Alternative hypothesis,

Level of significance,

= (0.17-0.25)/(sqrt(0.25*0.75/100))

= -1.85

P(Z<-1.85)

Using z table we find that the

=0.032

H:p=0.25

The value is less than given significance level 0.05, so we reject the null hypothesis and conclude that there is a insufficient evidence to support the claim that the proportion percentage is less than 0.25.

H:p<0.25

a=0.05

Calculate the test statistic. P-P. Z= p.(1 - p.) n