AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Significance Tests and Confidence IntervalsQuestion 4
4
QuizMultiple Choice
Significance Tests and Confidence Intervals
Question 4 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A social scientist collects information about study time for a random sample of 40 students with the intention of testing the hypotheses = 2 hours per night versus 2 hours per night where = the true mean number of hours of study time per night for students.Rather than test these hypotheses, she computes the 90% confidence interval, (1.5, 1.8). Based upon the confidence interval, what conclusion can be made using = 0.10?
Answer
A
She should reject the null hypothesis. Since 2 falls outside of the 90% confidence interval, there is convincing evidence that the true mean number of hours of study time per night for students differs from 2 hours per night.B
She should reject the null hypothesis. Since 2 falls outside of the 90% confidence interval, there is not convincing evidence that the true mean number of hours of study time per night for students differs from 2 hours per night.C
She should fail to reject the null hypothesis. Since 2 falls outside of the 90% confidence interval, there is convincing evidence that the true mean number of hours of study time per night for students differs from 2 hours per night.D
She should fail to reject the null hypothesis. Since 2 falls outside of the 90% confidence interval, there is not convincing evidence that the true mean number of hours of study time per night for students differs from 2 hours per night.