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An organization surveyed 536 high school seniors from a certain country and found that 284 believed they would not have enough money to live comfortably in college. The folks at the organization want to know if this represents sufficient evidence to conclude a majority (more than 50%) of high school seniors in the country believe they will not have enough money in college. (a) What does it mean to make a Type II error for this test? (b) If the researcher decides to test this hypothesis at the α = 0.05 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.55. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.58. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is rejected and the true proportion of high school seniors who believe they will not have enough money in college is greater than 0.50. O B. Ho is not rejected and the true proportion of high school seniors who believe they will not have enough money in college is greater than 0.50. O C. Ho is not rejected and the true proportion of high school seniors who believe they will not have enough money in college is equal to 0.50. (b) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.55. What is the power of the test? B = Power = (Type integers or decimals rounded to four decimal places as needed.) (c) Redo part (b) if the true population proportion is 0.58. B = Power = (Type integers or decimals rounded to four decimal places as needed.) 00

An organization surveyed 536 high school seniors from a certain country and found that 284 believed they would not have enough money to live comfortably in college. The folks at the organization want to know if this represents sufficient evidence to conclude a majority (more than 50%) of high school seniors in the country believe they will not have enough money in college. (a) What does it mean to make a Type II error for this test? (b) If the researcher decides to test this hypothesis at the α = 0.05 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.55. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.58. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is rejected and the true proportion of high school seniors who believe they will not have enough money in college is greater than 0.50. O B. Ho is not rejected and the true proportion of high school seniors who believe they will not have enough money in college is greater than 0.50. O C. Ho is not rejected and the true proportion of high school seniors who believe they will not have enough money in college is equal to 0.50. (b) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.55. What is the power of the test? B = Power = (Type integers or decimals rounded to four decimal places as needed.) (c) Redo part (b) if the true population proportion is 0.58. B = Power = (Type integers or decimals rounded to four decimal places as needed.) 00

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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An organization surveyed 536 high school seniors from a certain country and found that 284 believed they would not have enough money to live comfortably in college. The folks at the organization want to know if this represents sufficient evidence to conclude a majority (more than 50%) of high school seniors in the country believe they will not have enough money in college. (a) What does it mean to make a Type II error for this test? (b) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.55. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.58. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is rejected and the true proportion of high school seniors who believe they will not have enough money in college is greater than 0.50. O B. Ho is not rejected and the true proportion of high school seniors who believe they will not have enough money in college is greater than 0.50. O C. Ho is not rejected and the true proportion of high school seniors who believe they will not have enough money in college is equal to 0.50. (b) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.55. What is the power of the test? B = Power = (Type integers or decimals rounded to four decimal places as needed.) (c) Redo part (b) if the true population proportion is 0.58. B = Power = (Type integers or decimals rounded to four decimal places as needed.)
Transcribed Image Text:An organization surveyed 536 high school seniors from a certain country and found that 284 believed they would not have enough money to live comfortably in college. The folks at the organization want to know if this represents sufficient evidence to conclude a majority (more than 50%) of high school seniors in the country believe they will not have enough money in college. (a) What does it mean to make a Type II error for this test? (b) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.55. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.58. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is rejected and the true proportion of high school seniors who believe they will not have enough money in college is greater than 0.50. O B. Ho is not rejected and the true proportion of high school seniors who believe they will not have enough money in college is greater than 0.50. O C. Ho is not rejected and the true proportion of high school seniors who believe they will not have enough money in college is equal to 0.50. (b) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.55. What is the power of the test? B = Power = (Type integers or decimals rounded to four decimal places as needed.) (c) Redo part (b) if the true population proportion is 0.58. B = Power = (Type integers or decimals rounded to four decimal places as needed.)
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