Question

A study of 45 American adults was taken and found that the mean number of times they went to the movies in the past 6 months was 9.2 with standard deviation 1.5. This study was to performed to determine if this value has changed since 2000 when the mean was 10 every 6 months.

Step 4 of 5: Give your p-value.

Step 5 of 5: State your conclusion and interpretation.

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :   = 9.2

H_a :    9.2

= 10

= 9.2

= 1.5

n = 45

Test statistic = z

= ( - ) / / n

= (10 - 9.2) / 1.5 / 45

= 3.58

Test statistic = 3.58

P(z > 3.58) = 1 - P(z < 3.58) = 1 - 0.9998 = 0.0002

P-value = 0.0002 * 2 = 0.0004

= 0.05

P-value <

Reject the null hypothesis .