A poll reported that 32% of 195 Canadians between the ages of 25 and 29 had started saving money for retirement. Of the 205 Canadians surveyed between the ages of 21 and 24, 26% 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 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 18.68% chance that the two proportions are equal. O If there is no difference in the proportions, there is about a 9.34% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation. O There is about a 18.68% chance that the two proportions are unequal. O If there is no difference in the proportions, there is about a 9.34% chance of seeing the exact observed difference by natural sampling variation. O If there is no difference in the proportions, there is about a 18.68% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation.
A poll reported that 32% of 195 Canadians between the ages of 25 and 29 had started saving money for retirement. Of the 205 Canadians surveyed between the ages of 21 and 24, 26% 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 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 18.68% chance that the two proportions are equal. O If there is no difference in the proportions, there is about a 9.34% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation. O There is about a 18.68% chance that the two proportions are unequal. O If there is no difference in the proportions, there is about a 9.34% chance of seeing the exact observed difference by natural sampling variation. O If there is no difference in the proportions, there is about a 18.68% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Transcribed Image Text:A poll reported that 32% of 195 Canadians between the ages of 25 and 29 had started saving money for retirement. Of
the 205 Canadians surveyed between the ages of 21 and 24, 26% 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
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?
There is about a 18.68% chance that the two proportions are equal.
O If there is no difference in the proportions, there is about a 9.34% chance of seeing the observed difference or
larger (as extreme or more extreme) by natural sampling variation.
O There is about a 18.68% chance that the two proportions are unequal.
O If there is no difference in the proportions, there is about a 9.34% chance of seeing the exact observed difference
by natural sampling variation.
O If there is no difference in the proportions, there is about a 18.68% chance of seeing the observed difference or
larger (as extreme or more extreme) by natural sampling variation.
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