Part 4 of 6 Find the probability that the proportion of freshmen in the sample of 120 who plan to major in a STEM discipline is between 0.32 and 0.38. The probability that the proportion of individuals in the sample of 120 who plan to major in a STEM discipline is between 0.32 and 0.38 is X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Part 4

Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM
disciplines. A research group reported that 26% 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 1 of 6
Is it appropriate to use the normal approximation to find the probability that less than 28% of the freshmen in the
sample are planning to major in a STEM discipline?
appropriate to use the normal curve, since np = 24.7 >
It is
andn (1 - p)
Part 2 of 6
Part 3 of 6
=
Part: 3 / 6
70.3 >
Find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline.
The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline is
0.6700
Part 4 of 6
10.
A new sample of 120 freshmen is selected. Find the probability that less than 28% of the freshmen in this new sample
are planning to major in a STEM discipline.
The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline is
0.6915
10
Find the probability that the proportion of freshmen in the sample of 120 who plan to major in a STEM discipline is
between 0.32 and 0.38.
The probability that the proportion of individuals in the sample of 120 who plan to major
in a STEM discipline is between 0.32 and 0.38 is
X
Transcribed Image Text:Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 26% 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 1 of 6 Is it appropriate to use the normal approximation to find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline? appropriate to use the normal curve, since np = 24.7 > It is andn (1 - p) Part 2 of 6 Part 3 of 6 = Part: 3 / 6 70.3 > Find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline. The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline is 0.6700 Part 4 of 6 10. A new sample of 120 freshmen is selected. Find the probability that less than 28% of the freshmen in this new sample are planning to major in a STEM discipline. The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline is 0.6915 10 Find the probability that the proportion of freshmen in the sample of 120 who plan to major in a STEM discipline is between 0.32 and 0.38. The probability that the proportion of individuals in the sample of 120 who plan to major in a STEM discipline is between 0.32 and 0.38 is X
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