Suppose 45% of the doctors in a hospital are surgeons. If a sample of 457 doctors is selected, what is the probability that the sample proportion of surgeons will be less than 39%?

Respuesta :

Based on the fact that 45% of the doctors are surgeons, the probability that the sample proportion of surgeons will be less than 39% is 0.9950.

What is the probability?

First, find the standard deviation:

= √(0.45 x 0.55 / 457)

= 0.0233

Then find the p value:

= P > ((0.39 - 0.45)/0.0233)

= P (z > -2.58)

= 1 - P (z < -2.58)

We can then use a spreadsheet to solve for the probability:

= 1 - NORM.S.DIST(-2.58, 1)

= 0.9950

Find out more on the p value at https://brainly.com/question/4621112

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