A simple random sample of​ front-seat occupants involved in car crashes is obtained. Among 2844 occupants not wearing seat​ belts, 38 were killed. Among 7657 occupants wearing seat​ belts, 17 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. a. Identify the test statistic. z equals ​(Round to two decimal places as​ needed.)   b. Identify the​ P-value. ​P-value equals ​(Round to three decimal places as​ needed.)

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A simple random sample of​ front-seat occupants involved in car crashes is obtained. Among 2844 occupants not wearing seat​ belts, 38 were killed. Among 7657 occupants wearing seat​ belts, 17 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities.

a. Identify the test statistic.

z equals
​(Round to two decimal places as​ needed.)
 
b. Identify the​ P-value.
​P-value equals
​(Round to three decimal places as​ needed.)
 
c. The appropriate confidence interval is
less than left parenthesis p 1 minus p 2 right paren thesis less than
​(Round to three decimal places as​ needed.)
 
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