From previous studies, it is concluded that 90% of phone numbers in a certain city are unlisted. A researcher claims that the proportion is smaller than 90% and decides to survey 800 working adults. the researcher's claim at the a = 0.01 significance level. Preliminary: a. Is it safe to assume that n< 0.05 of all subjects in the population? Yes No

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
Topic Video
Question
From previous studies, it is concluded that 90% of phone numbers in a certain city are unlisted. A
researcher claims that the proportion is smaller than 90% and decides to survey 800 working adults. Test
the researcher's claim at the a = 0.01 significance level.
Preliminary:
a. Is it safe to assume that n < 0.05 of all subjects in the population?
O Yes
No
b. Verify np(1 – p) > 10. Round your answer to one decimal place.
пр(1 — р) %3
Test the claim:
a. The null and alternative hypotheses are
Ο Ho: μ= 0.9
Ha: µ + 0.9
Но: и < 0.9
Ha:µ > 0.9
O Ho:p 2 0.9
Ha:p < 0.9
Ho:p = 0.9
Ha:p + 0.9
Ho:µ > 0.9
Ha:µ < 0.9
O Ho:p < 0.9
H.:p > 0.9
b. The test is
Select an answer
c. Based on the sample of 800 people, 81% phone numbers in a certain city are unlisted. What is the
test statistic? Round your answer to two decimal places.
? V
d. What is the p-value? Round your answer to four decimal places.
e. Make a decision.
Do not reject the null hypothesis.
O Reject the null hypothesis.
f. Make a conclusion.
O There is sufficient evidence that the proportion of people who phone numbers in a certain
city are unlisted is smaller than 90% at the a = 0.01 significance level.
There is not sufficient evidence that the proportion of people who phone numbers in a
certain city are unlisted is smaller than 90% at the a
0.01 significance level.
Transcribed Image Text:From previous studies, it is concluded that 90% of phone numbers in a certain city are unlisted. A researcher claims that the proportion is smaller than 90% and decides to survey 800 working adults. Test the researcher's claim at the a = 0.01 significance level. Preliminary: a. Is it safe to assume that n < 0.05 of all subjects in the population? O Yes No b. Verify np(1 – p) > 10. Round your answer to one decimal place. пр(1 — р) %3 Test the claim: a. The null and alternative hypotheses are Ο Ho: μ= 0.9 Ha: µ + 0.9 Но: и < 0.9 Ha:µ > 0.9 O Ho:p 2 0.9 Ha:p < 0.9 Ho:p = 0.9 Ha:p + 0.9 Ho:µ > 0.9 Ha:µ < 0.9 O Ho:p < 0.9 H.:p > 0.9 b. The test is Select an answer c. Based on the sample of 800 people, 81% phone numbers in a certain city are unlisted. What is the test statistic? Round your answer to two decimal places. ? V d. What is the p-value? Round your answer to four decimal places. e. Make a decision. Do not reject the null hypothesis. O Reject the null hypothesis. f. Make a conclusion. O There is sufficient evidence that the proportion of people who phone numbers in a certain city are unlisted is smaller than 90% at the a = 0.01 significance level. There is not sufficient evidence that the proportion of people who phone numbers in a certain city are unlisted is smaller than 90% at the a 0.01 significance level.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
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