At one school, the average amount of time tenth-graders spend watching television each week is 21.6 hours. the principal introduces a campaign to encourage the students to watch less television. one year later, the principal performs a significance test using α = 0.05 to determine whether the average amount of time spent watching television per week has decreased. the hypotheses are: h0: μ = 21.6 hours ha: μ < 21.6 hours if the p-value = 0.04 and a decision error is made, what type of error is it? explain.

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Melvin Dominguez

20 December, 22:17

At one school, the average amount of time tenth-graders spend watching television each week is 21.6 hours. the principal introduces a campaign to encourage the students to watch less television. one year later, the principal performs a significance test using α = 0.05 to determine whether the average amount of time spent watching television per week has decreased. the hypotheses are: h0: μ = 21.6 hours ha: μ < 21.6 hours if the p-value = 0.04 and a decision error is made, what type of error is it? explain.

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Ella Cameron · Answer 1

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. H0: = 21.6 Ha: < 21.6 = 0.05 P value = 0.04 Since P value = 0.04 is less than = 0.05, Reject H0.