Question

2. According to the American Time Use Survey, the typical American spends 154.8 minutes per day watching television. A survey of 50 internet users results in a mean time watching television per day of 128.7 minutes with a standard deviation of 46.5 minutes. Test whether the internet users spend less time watching television at 1% level of significance.

Answer 1

H₀: = 154.8

H₁: < 154.8

The test statistic t = ()/(s/)

                            = (128.7 - 154.8)/(46.5/)

                            = -3.97

At alpha = 0.01, the critical value is t^* = -2.405

Since the test statistic value is less than the critical value (-3.97 < -2.405), so we should reject the null hypothesis.

So there is sufficient evidence to support the claim that the internet users spend less time watching television at 1% significance level.