Question

A sociologist claims that children ages 3​ - 12 spent more mean time watching television in 1981 than children ages 3​ - 12 do today. A study was conducted in 1981 and a similar study was recently conducted. At  

alphaα

​= 0.025, can you support the​ sociologist's claim?

Sample 1				Sample 2
1981 Study	2.5	2.1	2.3	Recent Study	1.9	2.0	1.6
	1.6	2.6	2.1		1.5	2.1	2.3
	2.2	1.0	1.9		1.6	1.8	0.9

Hypotheses

What are the null and alternative​ hypothesis?

​(Use the tool pallette for​ symbols.)

nothing11

​=

nothing22

nothing11

nothing

nothing22

Calculate the Test Statistic and​ P-value.

Test Statistic

nothing

​= nothing

​P-value p​ = nothing

Test result

​P-value  

nothing  

alphaα

A.Reject

Upper H 0H0.

B.Do not reject

Upper H 0H0.

Choose the correct conclusion​ below, with respect to the claim.

A.

​There's enough evidence to reject the claim that the mean television watching time was the same for both studies.

B.

​There's not enough evidence to reject the claim that the mean television watching time was the same for both studies.

C.

​There's enough evidence to suggest the mean television watching time in 1981 was the more than recent time.

D.

​There's not enough evidence to suggest the mean television watching time in 1981 was the more than recent time.

Click to select your answer(s).

Answer 1

I assumed that these data randomly sampled.

And normally distributed. If normality not met have to do non parametric test.