A random sample of n, - 293 voters registered in the state of Calfornia showed that 141 voted in the last general election. A random sample of n, - 212 registered voters in the state of Colorado showed that 126 voted in the most recent general election. Do these data incicate that the population proportion of voter tumout in Colorado is higher than that in Califomia? Use a 5% level of significance. A USE SALT (a) What is the level of signiticance? State the nul and alternate hypotheses. O H P, - P H P, Pa O K P, - P H: P, P. O H: P, -P H P, P2 O H: P,

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A random sample of n, - 293 voters registered in the state of California showed that 141 voted in the last general election. A random sample of n, - 212 registered voters in the state of Colorado showed that 126 voted in the most recent general election. Do these data indicate that the population proportion of voter tumout in Colorado is higher than that in Califormia? Lse a 5% level of
sicnificance.
A USE SALT
What is the level of significance?
State the null and alternate hypotheses.
O H P, -Pi H: P P2
e Hi P - Pi H P, P2
O Hg: P - Pai H: P> P2
O Hgi P < Pai H: P - P2
(b) What sampling distribution will you use? What assumptions are you maiing?
The Student's t. The number of trials is sufficiently large.
The Student's t. We assume the population distributions are approimately normal.
• The standard normal. We assume
population distributions are approximately normal.
O The standard normal. The number of trials is suficiently large.
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 dedmal places. )
O
(C) Find (ar estimate) the Pvalue. (Round your answer to four decimal places.)
Transcribed Image Text:A random sample of n, - 293 voters registered in the state of California showed that 141 voted in the last general election. A random sample of n, - 212 registered voters in the state of Colorado showed that 126 voted in the most recent general election. Do these data indicate that the population proportion of voter tumout in Colorado is higher than that in Califormia? Lse a 5% level of sicnificance. A USE SALT What is the level of significance? State the null and alternate hypotheses. O H P, -Pi H: P P2 e Hi P - Pi H P, P2 O Hg: P - Pai H: P> P2 O Hgi P < Pai H: P - P2 (b) What sampling distribution will you use? What assumptions are you maiing? The Student's t. The number of trials is sufficiently large. The Student's t. We assume the population distributions are approimately normal. • The standard normal. We assume population distributions are approximately normal. O The standard normal. The number of trials is suficiently large. 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 dedmal places. ) O (C) Find (ar estimate) the Pvalue. (Round your answer to four decimal places.)
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