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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

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
Expert Solution
Step 1: Given Information:

It is given that 

Population proportion, p = 26% = 0.26

Sample size, n = 120

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman