In a study of media use, each person in a large representative sample of male Canadian high school students was asked how much time they spent playing video or computer games (in minutes per day). The sample mean was 123.2 minutes and the sample standard deviation was 117.3 minutes. (a) Suppose that the sample size was 700. Carry out a hypothesis test to decide if there is evidence that the average time spent playing video or computer games for male Canadian high school students is greater than 2 hours. Use a significance level of 0.05. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value = 0 x State the conclusion in the context of the problem. O Fail to reject Ho. We have convincing evidence that the mean time spent playing video or computer games for male Canadian high school students is greater than O Reject Ho. We have convincing evidence that the mean time spent playing video or computer games for male Canadian high school students is greater than 2 hours. ⒸFail to reject Ho. We do not have convincing evidence that the mean time spent playing video or computer games for male Canadian high school students is greater than 2 hours. O Reject Ho. We do not have convincing evidence that the mean time spent playing video or computer games for male Canadian high school students is greater than 2 hours. P-value=0 (b) Now also suppose that the sample standard deviation had been 37.9 rather than 117.3. Carry out a hypothesis test to decide if there is evidence that the average time spent playing video or computer games for male Canadian high school students is greater than 2 hours. Use a significance level of 0.05. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal place and your P-value to four decimal places.) hours. State the conclusion in the context of the problem. O Fail to reject Ho. We have convincing evidence that the mean time spent playing video or computer games for male Canadian high school students is greater than 2 hours. Reject Ho. We have convincing evidence that the mean time spent playing video or computer games for male Canadian high school students is greater than 2 hours. O Fail to reject Ho. We do not have convincing evidence that the mean time spent playing video or computer games for male Canadian high school students is greater than 2 hours. O Reject Ho. We do not have convincing evidence that the mean time spent playing video or computer games for male Canadian high school students is greater than 2 hours. (c) Explain why the null hypothesis was rejected in the test of part (b) but not in the test of part (a).