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To test Ho: p=0.50 versus H₁: p>0.50, a simple random sample of n = 200 individuals is obtained and x = 69 successes are observed. (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 = 0.01 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.54. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.56. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is not rejected and the true population proportion is greater than 0.50. OB. Ho is not rejected and the true population proportion is equal to 0.50. OC. Ho is rejected and the true population proportion is less than 0.50. O D. Ho is rejected and the true population proportion is greater than 0.50. (b) If the researcher decides to test this hypothesis at the x = 0.01 level of significance, compute the probability of making a Type II error, B, if the true population proportion is 0.54. 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 0.56. B = Power = (Type integers or decimals rounded to four decimal places as needed.)

To test Ho: p=0.50 versus H₁: p>0.50, a simple random sample of n = 200 individuals is obtained and x = 69 successes are observed. (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 = 0.01 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.54. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.56. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is not rejected and the true population proportion is greater than 0.50. OB. Ho is not rejected and the true population proportion is equal to 0.50. OC. Ho is rejected and the true population proportion is less than 0.50. O D. Ho is rejected and the true population proportion is greater than 0.50. (b) If the researcher decides to test this hypothesis at the x = 0.01 level of significance, compute the probability of making a Type II error, B, if the true population proportion is 0.54. 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 0.56. B = Power = (Type integers or decimals rounded to four decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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To test Ho: p = 0.50 versus H₁: p>0.50, a simple random sample of n = 200 individuals is obtained and x = 69 successes are observed. (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 = 0.01 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.54. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.56. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is not rejected and the true population proportion is greater than 0.50. B. Ho is not rejected and the true population proportion is equal to 0.50. C. Ho is rejected and the true population proportion is less than 0.50. O D. Ho is rejected and the true population proportion is greater than 0.50. (b) If the researcher decides to test this hypothesis at the α = 0.01 level of significance, compute the probability of making a Type II error, B, if the true population proportion is 0.54. What is the power of the test? = В Power = (Type integers or decimals rounded to four decimal places as needed.) (c) Redo part (b) if the true population proportion is 0.56. В = Power = (Type integers or decimals rounded to four decimal places as needed.)
Transcribed Image Text:To test Ho: p = 0.50 versus H₁: p>0.50, a simple random sample of n = 200 individuals is obtained and x = 69 successes are observed. (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 = 0.01 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.54. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.56. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is not rejected and the true population proportion is greater than 0.50. B. Ho is not rejected and the true population proportion is equal to 0.50. C. Ho is rejected and the true population proportion is less than 0.50. O D. Ho is rejected and the true population proportion is greater than 0.50. (b) If the researcher decides to test this hypothesis at the α = 0.01 level of significance, compute the probability of making a Type II error, B, if the true population proportion is 0.54. What is the power of the test? = В Power = (Type integers or decimals rounded to four decimal places as needed.) (c) Redo part (b) if the true population proportion is 0.56. В = Power = (Type integers or decimals rounded to four decimal places as needed.)
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