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April 25, 2014

April 25, 2014

Posted by **marie** on Wednesday, August 26, 2009 at 7:27pm.

of the same size showed that 62 paid by debit card. (a) Formulate appropriate hypotheses to test

whether the percentage of debit card shoppers increased. (b) Carry out the test at á = .01. (c) Find

the p-value. (d) Test whether normality may be assumed.

- statistics -
**MathGuru**, Wednesday, August 26, 2009 at 9:47pmThis problem fits a binomial proportion 2-sample z-test using proportions.

Hypotheses:

Ho: p1 = p2

Ha: p1 < p2 -->one-tailed test (shows a specific direction)

The formula is:

z = (p1 - p2)/√[pq(1/n1 + 1/n2)]

...where 'n' = sample sizes, 'p' is (x1 + x2)/(n1 + n2), and 'q' is 1-p.

I'll get you started:

p = (42 + 62)/(200 + 200) = ? -->once you have the fraction, convert to a decimal (decimals are easier to use in the formula)

q = 1 - p

p1 = 42/200

p2 = 62/200

Convert all fractions to decimals. Plug those decimal values into the formula and find z. Once you have this value, you will be able to determine the p-value or the actual level of this test statistic by using a z-table. Determine the outcome of the test (whether or not to reject the null). Draw your conclusions from there.

I hope this will help get you started.

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