An exam prep company states that students who take their prep course improve by an average of 8 points on a post-test as compared to their pre-test score.Based on the results of a random sample of 16 students who have taken the prep course, you construct a 90% confidence interval for _dand find it to be (8.21 points, 11.75points). Assume the necessary conditions for conducting the confidence interval and hypothesis test are met.

You would reject the null hypothesis at the 10% level because this confidence interval does not contain 0.

You would fail to reject the null hypothesis at the 10% level because this confidence interval does not contain 0.10

You would reject the null hypothesis at the 10% level because the interval does not contain 8.

You would fail to reject the null hypothesis at the 10% level because the interval does not contain 8.

The p-value for the test is more than 0.1.

The p-value for the test is less than or equal to 0.1.

A mistake has been made as the confidence interval should contain 8 about 90% of the time.