Question

The average number of hours that Canadians spend on the internet at home has been 100 hours per month for several years. In early March of 2020, as more people were starting to work and study at home, a random sample of 25 households found a mean of 104 hours with a sample standard deviation of 10 hours. The population standard deviation is unknown. Assume that hours spent on the internet are approximately normally distributed. Is there enough evidence to conclude that the average number of hours spent on the internet at home has increased? Test the hypothesis at the 5% level of significance. Part 1 (3 marks): What are the null and alternative hypotheses? A Ho: p = 100 hours HA# 100 hours B. Ho: M - 100 hours HAH< 100 hours (u is less than 100 hours) C. Ho: u = 100 hours Hau > 100 hours (u is more than 100 hours) D. Ho: H > 100 hours HAM = 100 hours E Ho: H = 104 hours HAH > 104 hours Enter the LETTER of the correct answer

Answer 1

average number of hours that canadians spend n=25 10 hours 19-0.05 X = 104 hours بل on the internet out home has been loo hours U 100 hours part 0 Test that the average number of hours spent the internet at home has increased Ho: l=100 HA ll> 100 (all is more than 100 hours) с. part cnitical vake = tn-id= t 25-1,o.or = t24,0,05 1.711 Miticul Nalle Decision nule Reflect Ho. if test statistics critical verlie t > 1711 t = x - 4 11 part ① test statistic = 104-100 slun 10 125 It = 2 4 2 10/5 2 > part 4 Decision Reject Ho if it > lonitical value) Here TE = 2 Ionitical vuel = 1.71 test statistic is in the rejection region . Reject Ho parts conclusion A. Yes there is enough evidence to conclude that the civerage internet time has increased A