Conclude whether to reject or not reject H0, and interpret the results
Annie, a pharmacist, claims that a generic anti-histamine dose is more than 18 mg, on average. Several of her coworker do not believe her, so she decides to do a hypothesis test, at a 10% significance level, to persuade them. She measures 18 pills, collects the proper data, and works through the testing procedure:
- H0: μ≤18; Ha: μ>18
- x¯=19.1
- σ=1.6
- α=0.1 (significance level)
The test statistic is
The critical value is z0.1=1.28
Conclude whether to reject or not reject H0, and interpret the results.
Reject H0. At the 10% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis.
Reject H0. At the 10% significance level, the data provide sufficient evidence to conclude that the mean dosage is more than 18 mg.
Do not reject H0. At the 10% significance level, the test results are not statistically significant and at best, provide weak evidence against the null hypothesis.
Do not reject H0. At the 10% significance level, the data provide sufficient evidence to conclude that the mean dosage is more than 18 mg.
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