Question

At one school, in 2005, the average amount of time that tenth-graders spent watching television each week was 21.6 hours. The principal introduced a campaign to encourage the students to watch less television. One year later, in 2006, the principal performed a hypothesis test to determine whether the average amount of time spent watching television per week had decreased. The hypotheses are: H0: μ ≥ 21.6 hours Ha: μ < 21.6 hours where μ is the mean amount of time, in 2006, that tenth-graders spend watching television each week. Explain the meaning of a correct decision. A correct decision would occur if, in fact, μ ≥ 21.6 hours, and the results of the sampling do not lead to rejection of that fact; or if, in fact, μ < 21.6 hours and the results of the sampling do not lead to rejection of the null hypothesis that μ = 21.6 hours. A correct decision would occur if, in fact, μ < 21.6 hours and the results of the sampling do not lead to rejection of the null hypothesis that μ ≥ 21.6 hours. A correct decision would occur if, in fact, μ ≥ 21.6 hours, and the results of the sampling do not lead to rejection of that fact; or if, in fact, μ < 21.6 hours and the results of the sampling lead to that conclusion. A correct decision would occur if, in fact, μ ≥ 21.6 hours, and the results of the sampling lead to rejection of the null hypothesis; or if, in fact, μ < 21.6 hours and the results of the sampling lead to that conclusion.

Answer 1