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?
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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
c)
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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