Question

November 6, 2012 was election day. Many of the major television networks aired coverage of the incoming election results during the primetime hours. For a random sample of 25 U.S. adults, the average time spent watching election coverage was 80.44 minutes with standard deviation of 43.99 minutes. We want to do a hypothesis test to see if this is sufficient evidence to reject the null hypothesis in favor of the alternative:

H₀: the mean number of minutes watching election coverage is <= 75 minutes

Ha: the mean number of minutes watching election coverage is > 75 minutes

Calculate the t test statistic for this test.

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :   75

Ha : >75

Test statistic = z

= ( - ) / / n

= (80.44-75) / 43.99/ 25

Test statistic = 0.62