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In 2009, a sample of 200 in-store shoppers showed that 42 paid by debit card. In 2012, a sample of the same size showed that 62 paid by debit card. (Hint: Assume 1 is the proportion in 2012 and 2 is the proportion in 2009.)
(a) Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased by more than 5 percent. Choose the correct null and alternative hypotheses (a, b, or c).
a. H0: 1 - 2 ≤ .05 vs. H1: 1 - 2 > .05
b. H0: 1 - 2 = .05 vs. H1: 1 - 2 ≠ .05
c. H0: 1 - 2 ≥ .05 vs. H1: 1 - 2 < .05
(b) Calculate zcalc and the p-value. (Round your intermediate values and final answers to 4 decimal places.)
zcalc = ? p-value = ?
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