A sociologist claims the probability that a person picked at random in Grant Park in Chicago is visiting the area is 0.34. You want to test to see if the proportion different from this value. To test the hypothesis that the proportion is different from the given value, a random sample of 21 people is collected. • If the number of people in the sample that are visiting the area is anywhere from 7 to 10 (inclusive) we will not reject the null hypothesis that p = 0.34. • Otherwise, we will conclude that p + 0.34.
A sociologist claims the probability that a person picked at random in Grant Park in Chicago is visiting the area is 0.34. You want to test to see if the proportion different from this value. To test the hypothesis that the proportion is different from the given value, a random sample of 21 people is collected. • If the number of people in the sample that are visiting the area is anywhere from 7 to 10 (inclusive) we will not reject the null hypothesis that p = 0.34. • Otherwise, we will conclude that p + 0.34.
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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Question
Transcribed Image Text:A sociologist claims the probability that a person picked at random in Grant Park in Chicago is visiting the
area is 0.34. You want to test to see if the proportion different from this value.
To test the hypothesis that the proportion is different from the given value, a random sample of 21 people
is collected.
If the number of people in the sample that are visiting the area is anywhere from 7 to 10 (inclusive)
we will not reject the null hypothesis that p
Otherwise, we will conclude that p + 0.34.
0.34.
Round all answers to 4 decimals.
1. Calculate a =
P(Type I Error) assuming that p
0.34. Use the Binomial Distribution.
%3|
2. Calculate B = P(Type II Error) for the alternative p
0.25. Use the Binomial Distribution.
3. Find the power of the test for the alternative p
0.25. Use the Binomial Distribution.
Expert Solution
Step 1
Given information:
The sample size is n = 21.
The hypothesized proportion is p = 0.34.
Step by step
Solved in 3 steps
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