Will you explain and work out these problems please! 6. A geriatric doctor testi

Question

Will you explain and work out these problems please!

6. A geriatric doctor testing patients for Altzheimer's disease using a brain scan in the early stages of the disease is using the null hypothesis that the patient does not have Altzheimer's, and the alternative that they do. The brain scan fails to detect Altzheimer's in 1 in 6 patients who have Altzheimer's. What does that number 1/6 represent? a) The power of the brain scan test is 1/6. b) ***The probability of making a Type II error is 1/6. c) The probability of making a Type I error is 1/6. d) 1/6 of patients don't have Altzheimer's disease e) The significance level of the brain scan test is 1/6

Explanation / Answer

6) Option-B

14) At 99% confidence interval the critical value is 2.58

Margin of error = 0.01

Or, z* * SD/sqrt (n ) = 0.01

Or, 2.58 * 0.48/sqrt(n) = 0.01

Or, sqrt(n) = (2.58 * 0.48)/0.01

Or, sqrt(n) = 123.84

Or, n = 15336.35

Option-A is the correct answer.

16) If Confidence level decreases, the margin of error also decreases.

So Option-D is the correct answer.

17) P = 0.025

Margin of error = 0.01

z* * sqrt (P * (1 - P)/n) = 0.01

Or, 1.96 * sqrt (0.025 * 0.975/n) = 0.01

Or, sqrt(n) = 1.96 * sqrt(0.025 * 0.975)/0.01

Or, sqrt(n) = 30.6

Or, n = 936.36 = 936

option-E is the correct answer.

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