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...

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 = 0.7of getting the correct answer. Consider the sampling distribution of sample proportion of the 50 questions on which you get the correct answer.

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  • 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!

Extracted text: (р - Е(Ф) р- Е(р) p - E(p) P(p < 0.60)="P" 0.6-0.7="">< 0.0648,="P(Z"><-1.543) =="" z="">< 1.543="1-" 0.9385="">