Answer:
The probability that the proportion of freshmen in the sample of 90 who plan to major in a STEM discipline is between 0.29 and 0.37 is P=0.0166.
Step-by-step explanation:
<em>The question is incomplete. You have to add:</em>
<em>Find the probability that the proportion of freshmen in the sample of 90 who plan to major in a STEM discipline is between 0.29 and 0.37.</em>
We have a sample of n=90 out of a population with a proportion p=0.28.
We have to calculate the probability that the sample has a proportion between 0.29 and 0.37.
First, we calculate the standard deviation of the sampling distribution:
We can now calculate the z-score for 0.29 and 0.37
Now, we can calculate the probability as: