Americans, on average, watch 2.90 hours TV per day according to the most recent

Question

Americans, on average, watch 2.90 hours TV per day according to the most recent data. Do people watch less TV than before? Use you your GSS data file which has been taken in 2008 and test a hypothesis of no difference in watching TV today and in the past. Set HO and H1 and explain the results. Note: “One-sample Statistics” and “one-sample test” tables here.

One-Sample Statistics

   N=1036 Mean=3.09 Std. Deviation= 2.900 Std. Error Mean=.090

HOURS PER DAY WATCHING TV   

One-Sample Test                      
Test Value = 2.90   

t= 2.160 df= 1035 Sig. (2-tailed) = .031 Mean Difference =.195 95% Confidence Interval of difference= Lower .02 Upper= .37

HOURS PER DAY WATCHING TV   

Explanation / Answer

The null hypothesis H0 assumes that the difference between the true mean () and the comparison value (m0) is equal to zero.

That is

H0: 2.90 = m0 (# the mean hours per day watching TV today of the sample is 2.90)

The two-tailed alternative hypothesis H1 assumes that the difference between the true mean () and the comparison value (m0) is not equal to zero.

That is

H1: 2.90 m0 (# the mean hours per day watching TV today of the sample is 2.90)

Decision and Conclusions:

Sig. (2-tailed): The two-tailed p-value corresponding to the test statistic.

That is P = 0.031

Since p > 0.001, we fail to reject the null hypothesis that the sample mean is not equal to the hypothesized population mean and conclude that the mean hours per day watching TV today of the sample is not significantly different than the average hours per day watching TV in the past.

It means that the people watch less TV than before.

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