A magazine recently published an article that stated the population mean amount young adults from a certain city spend per week on food is exactly $150. Eric, a college student who resides in the city, believes that the population mean is greater than $150 per week. He selects a representative sample of 110 young adults and finds out how much each person spends on food per week. He calculates the sample mean to be $156.45 with a sample standard deviation of $26.62. The test statistic ț for a hypothesis test of Ho : μ = 150 versus Ha : μ 〉 150 ist 2.54. If 0.005 〈p-valueく0.01 and the level of significance is α = 0.10, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount young adults from the city spend per week on food is greater than $150? Select all that apply: Fail to reject the null hypothesis that the true population mean amount young adults from the city spend per week on food is equal to $150 Reject the null hypothesis that the true population mean amount young adults from the city spend per week on food is equal to $150. There is enough evidence at the a 0.10 level of significance to support the claim that the true population mean amount young adults from the city spend per week on food is greater than $150 There is not enough evidence at the a 0.10 level of significance to suggest that the true population mean amount young adults from the city spend per week on food is not equal to S150.
A magazine recently published an article that stated the population mean amount young adults from a certain city spend per week on food is exactly $150. Eric, a college student who resides in the city, believes that the population mean is greater than $150 per week. He selects a representative sample of 110 young adults and finds out how much each person spends on food per week. He calculates the sample mean to be $156.45 with a sample standard deviation of $26.62. The test statistic ț for a hypothesis test of Ho : μ = 150 versus Ha : μ 〉 150 ist 2.54. If 0.005 〈p-valueく0.01 and the level of significance is α = 0.10, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount young adults from the city spend per week on food is greater than $150? Select all that apply: Fail to reject the null hypothesis that the true population mean amount young adults from the city spend per week on food is equal to $150 Reject the null hypothesis that the true population mean amount young adults from the city spend per week on food is equal to $150. There is enough evidence at the a 0.10 level of significance to support the claim that the true population mean amount young adults from the city spend per week on food is greater than $150 There is not enough evidence at the a 0.10 level of significance to suggest that the true population mean amount young adults from the city spend per week on food is not equal to S150.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:A magazine recently published an article that stated the population mean amount young adults from a certain city spend
per week on food is exactly $150. Eric, a college student who resides in the city, believes that the population mean is greater
than $150 per week. He selects a representative sample of 110 young adults and finds out how much each person spends
on food per week. He calculates the sample mean to be $156.45 with a sample standard deviation of $26.62. The test
statistic ț for a hypothesis test of Ho : μ = 150 versus Ha : μ 〉 150 ist 2.54. If 0.005 〈p-valueく0.01 and the level of
significance is α = 0.10, which of the following statements are accurate for this hypothesis test to evaluate the claim that
the true population mean amount young adults from the city spend per week on food is greater than $150?
Select all that apply:
Fail to reject the null hypothesis that the true population mean amount young adults from the city spend per week
on food is equal to $150
Reject the null hypothesis that the true population mean amount young adults from the city spend per week on
food is equal to $150.
There is enough evidence at the a 0.10 level of significance to support the claim that the true population mean
amount young adults from the city spend per week on food is greater than $150
There is not enough evidence at the a 0.10 level of significance to suggest that the true population mean
amount young adults from the city spend per week on food is not equal to S150.
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