Future scientists: Education professionals refer to science, technology, enginee

Question

Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 29% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 90 freshmen is selected. Round the answers to four decimal places as needed. Part 1 out of 6 Is it appropriate to use the normal approximation to find the probability that less than 32% of the freshmen in the sample are planning to major in a STEM discipline? appropriate to use the normal curve, since np = 10 and n It (select) (1-p ) = (select) (select) 10.

Explanation / Answer

Here n=90 and p=0.29

As np=90*0.29=26.1>10

and np(1-p)=90*0.71=63.9>10

Hence It is appropriate to use the normal curve, since np=26.1>10 and n(1-p)=63.9>10.

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