A student claims that statistics students at her school spend, on average, an hour doing statistics homework each night. In an attempt to substantiate this claim, she selects a random sample of 6 of the 62 students who are taking statistics currently and asks them how much time they spend completing statistics homework each night. Here are the data (in hours): 0.75, 0.75, 0.75, 0.5, 1, 1.25. She would like to know if the data provide convincing statistical evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour. The student plans to test the hypotheses, H0: μ = 1 versus Ha: μ < 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each night. The conditions for inference are met. The test statistic is t = –1.58 and the P-value is between 0.05 and 0.10. What conclusion should be made at the significance level, Alpha = 0.10? Reject H0. There is convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
Reject H0. There is not convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
Fail to reject H0. There is convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
Fail to reject H0. There is not convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.