Question

PROVIDING STEPS:

(a) Suppose we are performing a one-sample t test at the 10% level of significance where the hypotheses are H0 : µ = 0 vs H1 : µ ƒ= 0. The number of observations is 15. What is the critical value?

(b) Suppose we are performing a one-sample t test with H0 : µ = 0 vs H1 : µ > 0. The test statistic, 1.31, was found to be wrongly calculated. The correct test statistic should be 2.31 instead. Is the correct p-value higher than, lower than, or the same as the original one?

(c) Suppose we are performing a hypothesis test and we conclude that we can reject H0 at the 10% level of significance, can we reject the same H0 (with the same H1) at the 1% level of significance?

(d) Determine if the following statement is true or false: H0 can always be rejected if the observed test statistic is greater than the critical value.

(e) Based on the data, we obtain (0.2, 0.6) as the 95% confidence interval for the true mean. What can we say about the test with the hypotheses H0 : µ = 0 against H1 : µ ƒ= 0 at the 5% level of significance?

Answer 1