Questions A, B, and C Please

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
Problem 8CR
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Questions A, B, and C Please

Generally speaking, would you say that most people can be trusted? A random sample of n, = 246 people in Chicago ages 18-25 showed that r, = 48 said yes. Another random sample of n, = 275 people in Chicago ages 35-45 showed that r, = 75 said yes. Does this indicate that the
population proportion of trusting people in Chicago is higher for the older group? Use a = 0.05.
A USE SALT
(a) What is the level of significance?
State the null and alternate hypotheses.
H: P, = Pi H :P, > P2
O H,: P, = P,i H, P, +P2
O H! P, < Pi H:P, = P2
(b) What sampling distribution will you use? What assumptions are you making?
O The Student's t. We assume the population distributions are approximately normal.
O The Student's t. The number of trials is sufficiently large.
• The standard normal. The number of trials is sufficiently large.
O The standard normal. We assume the population distributions are approximately normal.
What is the value of the sample test statistic? (Test the difference P, - P,. Do not use rounded values. Round your final answer to two decimal places.)
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Transcribed Image Text:Generally speaking, would you say that most people can be trusted? A random sample of n, = 246 people in Chicago ages 18-25 showed that r, = 48 said yes. Another random sample of n, = 275 people in Chicago ages 35-45 showed that r, = 75 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use a = 0.05. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. H: P, = Pi H :P, > P2 O H,: P, = P,i H, P, +P2 O H! P, < Pi H:P, = P2 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume the population distributions are approximately normal. O The Student's t. The number of trials is sufficiently large. • The standard normal. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approximately normal. What is the value of the sample test statistic? (Test the difference P, - P,. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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