From previous studies, it is concluded that 50% of phone numbers in a certain city are unlisted. A researcher claims that the proportion is smaller than 50% and decides to survey 300 working adults Test the researcher's claim at the a = 0.10 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? No O Yes b. Verify np(1 - p) ≥ 10. Round your answer to one decimal place. np(1 − p) = = Test the claim: a. The null and alternative hypotheses are Ho: p = 0.5 Ha:p0.5 Ho:μ = 0.5 Ha: μ = 0.5 Ο Ho: μ < 0.5 Ha: μ > 0.5 Ho:p> 0.5 Ha:p < 0.5 Ho:p ≤ 0.5 Ha:p> 0.5 Ο Ηo : μ 2 0.5 Ha: μ < 0.5

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
From previous studies, it is concluded that 50% of phone numbers in a certain city are unlisted. A
researcher claims that the proportion is smaller than 50% and decides to survey 300 working adults.
Test the researcher's claim at the a = : 0.10 significance level.
Preliminary:
a. Is it safe to assume that n ≤ 0.05 of all subjects in the population?
Ο No
Yes
b. Verify np(1 - p) ≥ 10. Round your answer to one decimal place.
np(1 − p) =
=
Test the claim:
a. The null and alternative hypotheses are
Ho: p = 0.5
Ha:p = 0.5
=
0.5
Ο Ηo:μ
Ha: μ + 0.5
Ho:μ < 0.5
Ha: μ > 0.5
Ho:p> 0.5
Ha:p < 0.5
O Ho: p ≤ 0.5
Ha:p> 0.5
Ο Ηo : μ 2 0.5
Ha: μ < 0.5
:μ<
Transcribed Image Text:From previous studies, it is concluded that 50% of phone numbers in a certain city are unlisted. A researcher claims that the proportion is smaller than 50% and decides to survey 300 working adults. Test the researcher's claim at the a = : 0.10 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? Ο No Yes b. Verify np(1 - p) ≥ 10. Round your answer to one decimal place. np(1 − p) = = Test the claim: a. The null and alternative hypotheses are Ho: p = 0.5 Ha:p = 0.5 = 0.5 Ο Ηo:μ Ha: μ + 0.5 Ho:μ < 0.5 Ha: μ > 0.5 Ho:p> 0.5 Ha:p < 0.5 O Ho: p ≤ 0.5 Ha:p> 0.5 Ο Ηo : μ 2 0.5 Ha: μ < 0.5 :μ<
b. The test is
Select an answer ✓
c. Based on the sample of 300 people, 46% phone numbers in a certain city are unlisted. What is
the test statistic? Round your answer to two decimal places.
?
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 not sufficient evidence that the proportion of people who phone numbers in a
certain city are unlisted is smaller than 50% at the a = 0.10 significance level.
O There is sufficient evidence that the proportion of people who phone numbers in a
certain city are unlisted is smaller than 50% at the a 0.10 significance level.
-
Transcribed Image Text:b. The test is Select an answer ✓ c. Based on the sample of 300 people, 46% phone numbers in a certain city are unlisted. What is the test statistic? Round your answer to two decimal places. ? 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 not sufficient evidence that the proportion of people who phone numbers in a certain city are unlisted is smaller than 50% at the a = 0.10 significance level. O There is sufficient evidence that the proportion of people who phone numbers in a certain city are unlisted is smaller than 50% at the a 0.10 significance level. -
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON