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

50.1K

Verified Solution

Question

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 Ï€1 is the proportion for San Francisco and Ï€2 forSeattle.
(b-1) Specify the decision rule at Î± = .01.(Round your answer to 3 decimal places.)
Reject the null hypothesis if z_calc > ???
(b-2) Find the test statisticz_calc. (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

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member