Select all that apply:
We should reject H0.
We should not reject H0.
At the 1% significance level, the data do not provide sufficient evidence to conclude that the amount of time American teenagers watch television per week is different from 14.1 hours.
At the 1% significance level, the data provide sufficient evidence to conclude that the amount of time American teenagers watch television per week is different from 14.1 hours.
Test hypothesis:
Denote the population mean amount of time American teenagers watch television per week as μ.
The hypotheses are given below:
Null hypothesis:
H_{0} : μ = 14.1 hours
That is, the mean amount of time American teenagers watch television per week is equal to 14.1 hours.
Alternative hypothesis:
H_{a} : μ ≠ 14.1 hours (Two tail test).
That is, the mean amount of time American teenagers watch television per week is not equal to 14.1 hours.
Given information:
The level of significance is 1%.
The test statistic value of the hypothesis test is t_{0} = –1.77.
The critical value for the hypothesis test is t_{(α/2)} = ± 3.169.
Decision rule:
Denote t0 as test statistic value and t(α/2) as the critical value.
Decision rule based on critical approach:
If t0 ≤ –t(α/2) (or) t0 ≥ t(α/2), then reject the null hypothesis H0.
If –t(α/2) < t0...
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