Pikkit Test 14 - Hypot.. Course Module. My Course - PS... Topic: Back to S. Blackboard The proportion of tax filers that receive a refund is less than \( 19 \% \). The proportion of tax filers that receive a refund is greater than \( 25 \% \).
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What is the p value for this test
Qudsiya A.
Individuals filing federal income tax returns prior to March 31 received an average refund of $\$ 1056 .$ Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of $H_{0}$ will support the researcher's contention. b. For a sample of 400 individuals who filed a tax return between April 10 and $15,$ the sample mean refund was $\$ 910 .$ Based on prior experience a population standard deviation of $\sigma=\$ 1600$ may be assumed. What is the $p$ -value? c. $\quad$ At $a=.05,$ what is your conclusion? d. Repeat the preceding hypothesis test using the critical value approach.
A poll reported that 30% of 110 Canadians between the ages of 25 and 29 had started saving money for retirement. Of the 120 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? H0: p < 0 HA: p = 0 (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 49.65% chance that the two proportions are equal. If there is no difference in the proportions, there is about a 24.82% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation. There is about a 49.65% chance that the two proportions are unequal. If there is no difference in the proportions, there is about a 24.82% chance of seeing the exact observed difference by natural sampling variation. If there is no difference in the proportions, there is about a 49.65% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation.
Clarissa B.
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