etext problems week 3

etext problems week 3 -...

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p-hat(red) = 20/153,348 = 1.304x10^-4 yellow fire trucks made 135,035 runs and had 4 accidents. p-hat(yellow) = 4/135035 = 2.9622x10-5 At   = .01, did the yellow fire trucks have a significantly lower accident rate? α One-tail z-test: Critical value = 2.326 (a) State the hypothesis. Ho: p(red)-p(yellow) = 0 Ha: p(red)-p(yellow) < 0 (b) State the decision rule and sketch it. ? Not sure what is meant by this. (c) Find the sample proportions and z test statistic. Note: p-bar= (4+20)/(153348+135035) = 8.3223x10^-5;q-bar=1-p-bar z(1.0078x10^-4) = 1.0078x10^-4/sqrt[(p-bar)(q-bar)/n1 + (p-bar)(q-bar)/n2] 2.96 (d) Make a decision. Since the test statistic is greater than the critical value, reject Ho. p(red) is not equal to p(yellow) (e) Find the p-value and interpret it. p-value = 0.0015 ; Only 0.15% of test results could have provided stronger evidence for rejecting Ho.
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etext problems week 3 -...

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