In a study of 905 randomly selected children aged 15-17, 198 say they watch 3 or more hours of television per day. In a study of 503 randomly selected children aged 12-14, 97 reported they watch 3 or more hours of television per day. Is there a significant difference between age and watching television in teenagers

The calculated value Z = 0.063< 1.96 at 5% level of significance

Null hypothesis is accepted

There is no significant difference between age and watching television in teenagers

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 905

Given data 198 say they watch 3 or more hours of television per day.

Given random first sample size

                                  n₁ = 905

First sample proportion

Given random second sample size

                                  n₂ = 503

second sample proportion

Step(ii):-

Null Hypothesis : H₀

There is no significant difference between age and watching television in teenagers

Alternative Hypothesis :H₁

There is  significant difference between age and watching television in teenagers

Step(iii):-

Test statistic

Where

P =  0.2094    

Q = 1 - 0.2094 = 0.7906

on calculation , we get

Z =   0.063

The critical value Z₀.₀₅ = 1.96

The calculated value Z = 0.063< 1.96 at 5% level of significance

Conclusion:-

Null hypothesis is accepted

There is no significant difference between age and watching television in teenagers