Question

In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they had slept the previous night. The 90% confidence interval comparing underclassmen to upperclassmen was (0.015, 0.9153) . For the hypothesis Ho:mu1-mu2 = 0 versus Ha:mu1-mu2 does not equal 0, what would be the p-value? p-value = 0.10 Can not be determined. p-value < 0.10 p-value > 0.10

Answer 1

given that the 90% confidence interval is (0.015, 0.9153)

this means that the confidence interval for difference between means does not include 0 because the lower limit for the confidence interval is greater than 0

We can say that the difference is significant based on the confidence interval result

90% confidence level means alpha = 1- 0.90 = 0.10

So, when the result is significant using confidence interval, then the p value must be less than alpha

therefore, we can say that the p value is less than alpha level of 0.10

option C is correct