Answered: We believe that 27% of students…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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We believe that 27% of students struggle with math blasses because they don't spend more than 8 hours studying independently outside of a 4-unit class. Assume this is the true proportion and you plan to randomly survey 74 students to investigate their study habits. Show you ranswer to 4 decimal places when necessary.

1. What is the distribution of p̂? p̂~N

2. What is the probability that the sample proportion is more than 0.33?

3. What is the probability that the sample proportion is between 0.24 and 0.27?

Expert Solution

Step 1

Given Data

n = 74

Step 2

probability that the sample proportion is between 0.24 and 0.27 is given by

P(0.24<p< 0.27) = P(p< 0.27) – P(p <0.24)

finding the z-score at p = 0.27

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