The amount of income spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of 20 homeowners in New England and then calculated these total housing costs as a percent of monthly income, 5 years ago and now. The information is reported below. Is it reasonable to conclude the percent is less now than 5 years ago?
Homeowner | Five Years Ago | Now | Homeowner | Five Years Ago | Now | ||||||||||||||
1 | 17 | % | 10 | % | 11 | 35 | % | 32 | % | ||||||||||
2 | 20 | 39 | 12 | 16 | 32 | ||||||||||||||
3 | 29 | 37 | 13 | 23 | 21 | ||||||||||||||
4 | 43 | 27 | 14 | 33 | 12 | ||||||||||||||
5 | 36 | 12 | 15 | 44 | 40 | ||||||||||||||
6 | 43 | 41 | 16 | 44 | 42 | ||||||||||||||
7 | 45 | 24 | 17 | 28 | 22 | ||||||||||||||
8 | 19 | 26 | 18 | 29 | 19 | ||||||||||||||
9 | 49 | 28 | 19 | 39 | 35 | ||||||||||||||
10 | 49 | 26 | 20 | 22 | 12 | ||||||||||||||
H0: μμ d ≤ 0 H1 : μμ d > 0
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State the decision rule for 0.05 significance level: H0: μd ≤ 0; H1: μd> 0. (Round your answer to 3 decimal places.)
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Compute the test statistic. (Round your answer to 3 decimal places.)
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Compute the p-value. (Round your answer to 3 decimal places.)
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State your decision about the null hypothesis.
multiple choice
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Reject H0
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Do not reject H0
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