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retirement. Carry out an appropriate hypothesis test and see whether there is any difference between the proportions of Canadians between the ages of 25 and 29 and the ages of 21 and 24 who had started saving for retirement.

retirement. Carry out an appropriate hypothesis test and see whether there is any difference between the proportions of Canadians between the ages of 25 and 29 and the ages of 21 and 24 who had started saving for retirement.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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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A poll reported that 33% of 170 Canadians between the ages of 25 and 29 had started saving money for retirement. Of the 175 Canadians surveyed between the ages of 21 and 24, 28% had started saving for retirement. Carry out an appropriate hypothesis test and see whether there is any difference between the proportions of Canadians between the ages of 25 and 29 and the ages of 21 and 24 who had started saving for retirement. (a) What are the null and alternative hypotheses? Họ: P : <: 0 : HA: P (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, what can you conclude? O There is about a 31.25% chance that the two proportions are equal. If there is no difference in thikproportions, there is about a 15.62% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation. O There is about a 31.25% chance that the two proportions are unequal. O If there is no difference in the proportions, there is about a 15.62% chance of seeing the exact observed difference by natural sampling variation. O It there is no difference in the proportions, there is about a 31.25% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation. Check
Transcribed Image Text:A poll reported that 33% of 170 Canadians between the ages of 25 and 29 had started saving money for retirement. Of the 175 Canadians surveyed between the ages of 21 and 24, 28% had started saving for retirement. Carry out an appropriate hypothesis test and see whether there is any difference between the proportions of Canadians between the ages of 25 and 29 and the ages of 21 and 24 who had started saving for retirement. (a) What are the null and alternative hypotheses? Họ: P : <: 0 : HA: P (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, what can you conclude? O There is about a 31.25% chance that the two proportions are equal. If there is no difference in thikproportions, there is about a 15.62% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation. O There is about a 31.25% chance that the two proportions are unequal. O If there is no difference in the proportions, there is about a 15.62% chance of seeing the exact observed difference by natural sampling variation. O It there is no difference in the proportions, there is about a 31.25% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation. Check
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