Future scientists: education professionals refer to science, technology, engineering, and mathematics as the stem disciplines. a research group reported that 28% of freshmen entering college in a recent year planned to major in a stem discipline. a random sample of 95 freshmen is selected. round the answer to at least four decimal places. part 4 of6 find the probability that the proportion of freshmen in the sample of 150 who plan to major in a stem discipline is between 0.29 and 0.37 the probability that the proportion of individuals in the sample of 150 who plan to major in a stem discipline is between 0.29 and 0.37 is

The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 is 0.3855

Step-by-step explanation:

The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 can be calculated by finding z-scores and subtracting P(z<z(0.29)) from P(z<z(0.37))

z-score in the binomial distribution of 28% of freshmen entering college in a recent year planned to major in a STEM discipline can be calculated using the equation:

where

Then z(0.37)= ≈ 2.4550 and P(z<2.4550)=0.993

z(0.29)= ≈ 0.2728 and P(z<0.2728)=0.6075

Then P(z(0.29)<z<z(0.37))=0.993-0.6075=0.3855

step-by-step explanation:

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