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A statistician believes that the population mean amount of time per day a person from a certain region spends watching television is 4 hours. Reagan, a statistics major in college, believes that the population mean amount is less than 4 hours. She tests the claim by selecting a random sample of 96 people from that region. She finds that the sample mean is 3.57 hours with a sample standard deviation of 1 .21 hours. The test statistic for a hypothesis test of Ho : μ = 4 versus Ha : μ < 4 ist -3.48. If p-value< 0.005 and the level of significance is α = 0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount of time per day a person from a certain region spends watching television is less than 4 hours? Select all that apply: Reject the null hypothesis that the true population mean amount of time per day a person from a certain region spends watching television is equal to 4 hours. Fail to reject the null hypothesis that the true population mean amount of time per day a person from a certain region spends watching television is equal to 4 hours. There is enough evidence at the α-0.05 level of significance to support the claim that the true population mean amount of time per day a person from a certain region spends watching television is less than 4 hours There is not enough evidence at the α-0.05 level of significance to suggest that the true population mean amount of time per day a person from a certain region spends watching television is not equal to 4 hours.

A statistician believes that the population mean amount of time per day a person from a certain region spends watching television is 4 hours. Reagan, a statistics major in college, believes that the population mean amount is less than 4 hours. She tests the claim by selecting a random sample of 96 people from that region. She finds that the sample mean is 3.57 hours with a sample standard deviation of 1 .21 hours. The test statistic for a hypothesis test of Ho : μ = 4 versus Ha : μ < 4 ist -3.48. If p-value< 0.005 and the level of significance is α = 0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount of time per day a person from a certain region spends watching television is less than 4 hours? Select all that apply: Reject the null hypothesis that the true population mean amount of time per day a person from a certain region spends watching television is equal to 4 hours. Fail to reject the null hypothesis that the true population mean amount of time per day a person from a certain region spends watching television is equal to 4 hours. There is enough evidence at the α-0.05 level of significance to support the claim that the true population mean amount of time per day a person from a certain region spends watching television is less than 4 hours There is not enough evidence at the α-0.05 level of significance to suggest that the true population mean amount of time per day a person from a certain region spends watching television is not equal to 4 hours.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A statistician believes that the population mean amount of time per day a person from a certain region spends watching television is 4 hours. Reagan, a statistics major in college, believes that the population mean amount is less than 4 hours. She tests the claim by selecting a random sample of 96 people from that region. She finds that the sample mean is 3.57 hours with a sample standard deviation of 1 .21 hours. The test statistic for a hypothesis test of Ho : μ = 4 versus Ha : μ < 4 ist -3.48. If p-value< 0.005 and the level of significance is α = 0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount of time per day a person from a certain region spends watching television is less than 4 hours? Select all that apply: Reject the null hypothesis that the true population mean amount of time per day a person from a certain region spends watching television is equal to 4 hours. Fail to reject the null hypothesis that the true population mean amount of time per day a person from a certain region spends watching television is equal to 4 hours. There is enough evidence at the α-0.05 level of significance to support the claim that the true population mean amount of time per day a person from a certain region spends watching television is less than 4 hours There is not enough evidence at the α-0.05 level of significance to suggest that the true population mean amount of time per day a person from a certain region spends watching television is not equal to 4 hours.
Transcribed Image Text:A statistician believes that the population mean amount of time per day a person from a certain region spends watching television is 4 hours. Reagan, a statistics major in college, believes that the population mean amount is less than 4 hours. She tests the claim by selecting a random sample of 96 people from that region. She finds that the sample mean is 3.57 hours with a sample standard deviation of 1 .21 hours. The test statistic for a hypothesis test of Ho : μ = 4 versus Ha : μ < 4 ist -3.48. If p-value< 0.005 and the level of significance is α = 0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount of time per day a person from a certain region spends watching television is less than 4 hours? Select all that apply: Reject the null hypothesis that the true population mean amount of time per day a person from a certain region spends watching television is equal to 4 hours. Fail to reject the null hypothesis that the true population mean amount of time per day a person from a certain region spends watching television is equal to 4 hours. There is enough evidence at the α-0.05 level of significance to support the claim that the true population mean amount of time per day a person from a certain region spends watching television is less than 4 hours There is not enough evidence at the α-0.05 level of significance to suggest that the true population mean amount of time per day a person from a certain region spends watching television is not equal to 4 hours.
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