In: Statistics and Probability
Question 1
In a sample of 75 students, 38 reported that they exercise 3-6 hours per week. Find a 99% confidence interval for population proportion of students who exercise 3-6 hours per week.
Group of answer choices
(0.358, 0.655)
(0.394, 0.620)
(0.218 , 0. 275)
Question 2
Let μ denote the average score on a standardized test for all children in a certain region of the United States. The average score for all children in the United States is 100. Regional education authorities are interested in testing H 0: μ = 100 versus H a: μ > 100 using a significance level of 0.01. A sample of 2500 children resulted in the values n = 2500, x ¯ = 101, s = 15.
What is the test statistic value?
Group of answer choices
5.18
3.33
4.67
Question 3
Let μ denote the average score on a standardized test for all children in a certain region of the United States. The average score for all children in the United States is 100. Regional education authorities are interested in testing H 0: μ = 100 versus H a: μ > 100 using a significance level of 0.01. A sample of 2500 children resulted in the values n = 2500, x ¯ = 101, s = 15.
Based on the p-value, what would be your conclusion regarding the hypothesis test?
Group of answer choices
Reject the null hypothesis and the test is insignificant.
Reject the null hypothesis and the test is significant
Accept the null hypothesis and the test is insignificant.