Question

A sample is drawn from a population and we estimate that the two-sided 99% confidence interval...

A sample is drawn from a population and we estimate that the two-sided 99% confidence interval on the mean of the population is 1.09007 ≤ µ ≤ 1.40993. One of the following statement is correct, determine which.

A. We would reject the null hypothesis H0 : µ = 1.1 against the alternative hypothesis H1 : µ 6= 1.1 at the level of significance α = 1%.

B. We would fail to reject the null hypothesis H0 : µ = 1.5 against the alternative hypothesis H1 : µ 6= 1.5 at the level of significance α = 1%.

C. The P-value of the test H0 : µ = 1 vs H1 : µ 6= 1 is less or equal to 0.01.

D. The P-value of the test H0 : µ = 1.2 vs H1 : µ 6= 1.2 is less or equal to 0.01.

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