From previous studies, it is concluded that 85% of phone numbers in a certain city are unlisted. A researcher claims it has decreased and decides to survey 100 adults. Test the researcher's claim at the α = 0.05 significance level. Preliminary: a. Is it safe to assume that n < 0.05 of all subjects in the population? No Yes b. Verify np (1 - p) > 10. Round your answer to one decimal place. np(1 - p) Test the claim: a. Express the null and alternative hypotheses in symbolic form for this claim. Ho: ?> ? ◇ Ha: ?> ? ◇ b. After surveying 100 adult Americans, the researcher finds that 35 phone numbers in a certain city are unlisted. Compute the test statistic. Round to two decimal places. x = c. What is the p-value? Round to 4 decimals. p = d. Make a decision based on a = 0.05 significance level. Reject the null hypothesis. O Do not reject the null hypothesis. e. What is the conclusion? There is sufficient evidence to support the claim that 85% of phone numbers in a certain city are unlisted has decreased. There is not sufficient evidence to support the claim that 85% of phone numbers in a certain city are unlisted has decreased.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Question
From previous studies, it is concluded that 85% of phone
numbers in a certain city are unlisted. A researcher claims
it has decreased and decides to survey 100 adults. Test the
researcher's claim at the α = 0.05 significance level.
Preliminary:
a. Is it safe to assume that n < 0.05 of all subjects in
the population?
No
Yes
b. Verify np (1 - p) > 10. Round your answer to one
decimal place.
np(1 - p)
Test the claim:
a. Express the null and alternative hypotheses in
symbolic form for this claim.
Ho: ?> ? ◇
Ha: ?> ? ◇
b. After surveying 100 adult Americans, the researcher
finds that 35 phone numbers in a certain city are
unlisted. Compute the test statistic. Round to two
decimal places.
x =
c. What is the p-value? Round to 4 decimals.
p =
d. Make a decision based on a = 0.05 significance
level.
Reject the null hypothesis.
O Do not reject the null hypothesis.
e. What is the conclusion?
There is sufficient evidence to support the
claim that 85% of phone numbers in a certain
city are unlisted has decreased.
There is not sufficient evidence to support the
claim that 85% of phone numbers in a certain
city are unlisted has decreased.
Transcribed Image Text:From previous studies, it is concluded that 85% of phone numbers in a certain city are unlisted. A researcher claims it has decreased and decides to survey 100 adults. Test the researcher's claim at the α = 0.05 significance level. Preliminary: a. Is it safe to assume that n < 0.05 of all subjects in the population? No Yes b. Verify np (1 - p) > 10. Round your answer to one decimal place. np(1 - p) Test the claim: a. Express the null and alternative hypotheses in symbolic form for this claim. Ho: ?> ? ◇ Ha: ?> ? ◇ b. After surveying 100 adult Americans, the researcher finds that 35 phone numbers in a certain city are unlisted. Compute the test statistic. Round to two decimal places. x = c. What is the p-value? Round to 4 decimals. p = d. Make a decision based on a = 0.05 significance level. Reject the null hypothesis. O Do not reject the null hypothesis. e. What is the conclusion? There is sufficient evidence to support the claim that 85% of phone numbers in a certain city are unlisted has decreased. There is not sufficient evidence to support the claim that 85% of phone numbers in a certain city are unlisted has decreased.
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