Question

A magazine article states the average age of women getting married for the first time is 25 years old. A researcher suspects this article may be incorrect. The researcher randomly selects 105 women who were recently married and found their average age was 24.7 years. The standard deviation of the population is 5.3 years. Perform a hypothesis test using ∝ = 0.10.

Step #2: Find the test value

Which test is needed? two, right, or left tailed test

Find the p-value.

do not reject or reject the null hypothesis?

Answer 1

Solution :

= 25

=24.7

=5.3

n = 105

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 25

Ha :     25

Test statistic = z

= ( - ) / / n

= (24.7 25) /5.3 / 105

= -0.58

Test statistic = z=  -0.58

P-value = 2* 0.2810 =0.5620

= 0.10

P-value <

0.5620 > 0.10

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that