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In San Francisco, a sample of 3,284 wireless routers showed that 1,182 used encryption (to prevent...

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Statistics

In San Francisco, a sample of 3,284 wireless routers showed that1,182 used encryption (to prevent hackers from interceptinginformation). In Seattle, a sample of 1,900 wireless routers showedthat 630 used encryption.

(a) Choose the appropriate hypotheses to test whether or not thepopulation proportion of encryption is higher in San Francisco thanSeattle. Assume π1 is the proportion for San Francisco and π2 forSeattle.

(b-1) Specify the decision rule at α = .01.(Round your answer to 3 decimal places.)

Reject the null hypothesis if zcalc > ???

(b-2) Find the test statisticzcalc. (Do not round the intermediatecalculations and round x1 andx2 to the nearest whole number. Round youranswer to 3 decimal places.)

Answer & Explanation Solved by verified expert
4.1 Ratings (461 Votes)
For San francisco we have that the sample size is n13284 the number of favorable cases is x11182 so then the sample proportion is p1x1n111823284 03599 For Seattle we have that the sample size is n21900 the number of favorable cases is x2630 so then the sample proportion is    See Answer
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