Suppose 43% of the doctors in a hospital are surgeons. If a sample of 478 doctors is selected, what is the probability that the sample proportion of surgeons will be greater than 39%? Round your answer to four decimal places.

And we can find this probability using the complement rule and the normal standard table or excel and we got:

Step-by-step explanation:

For this case we can define the population proportion p as "true proportion of surgeons" and we can check if we can use the normal approximation for the distribution of

1)

2)

3) Random sample: We assume that the data comes from a random sample

Since we can use the normal approximation the distribution for is given by:

With the following parameters:

And we want to find this probability:

And we can use the z score formula given by:

And if we calculate the z score for we got:

And we can find this probability using the complement rule and the normal standard table or excel and we got:

step-by-step explanation:

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