An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of p = 0.7 of getting the correct answer. Consider the sampling distribution of sample proportion of the 50 questions on which you get the correct answer.If truly p = 0.7, would it be very surprising if you got correct answers on only 60% of the questions? Justify your answer by using the normal distribution to approximate the probability of a sample proportion of 0.6 or less. The correct answer to this question is 0.0618. However, when I calculate the answer I keep getting 0.0615 using normalcdf(-1099,1.543,0,1). I have included a photo of my calculations. Please share with me what I am doing wrong when calculating this problem. Thank you! (р - Е(Ф) р- Е(р)p - E(p)P(p < 0.60) = P0.6-0.7= P(Z<0.0648,= P(Z <-1.543)= Z < 1.543= 1- 0.9385= 0.0615

According the provided information, the sample size, n is 50 and the probability, p is 0.7. The mean…

Answered: (р - Е(Ф) р- Е(р) p - E(p) P(p < 0.60)…

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 exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of p = 0.7 of getting the correct answer. Consider the sampling distribution of sample proportion of the 50 questions on which you get the correct answer.

- If truly p = 0.7, would it be very surprising if you got correct answers on only 60% of the questions? Justify your answer by using the normal distribution to approximate the probability of a sample proportion of 0.6 or less.

The correct answer to this question is 0.0618. However, when I calculate the answer I keep getting 0.0615 using normalcdf(-10⁹⁹,1.543,0,1). I have included a photo of my calculations. Please share with me what I am doing wrong when calculating this problem. Thank you!

(р - Е(Ф) р- Е(р)
p - E(p)
P(p < 0.60) = P
0.6-0.7
= P(Z<
0.0648,
= P(Z <-1.543)
= Z < 1.543
= 1- 0.9385
= 0.0615

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