There are a number of highly touted search engines for finding things of interest on the Internet. Recently, a consumer rating system ranked two search engines ahead of the others. Now, a computer user's magazine wishes to make the final determination regarding which one is actually better at finding particular information. To do this, each search engine was used in an attempt to locate specific information using specified keywords. Both search engines were subjected to 100 queries. Search engine 1 successfully located the information 88 times and search engine 2 located the information 80 times. Using a significance level equal to 0.05, what is the critical value for the hypothesis test?
A) z = ±196
B) z = 1.645
C) t = ±2.0456
D) z = ±2.575

Question

Quizplus · Accepted Answer

The correct critical value for a hypothesis test at a significance level of 0.05 (5%) for a two-tailed test is z = ±1.96. This value corresponds to the critical z-scores that bound the central 95% of the standard normal distribution, leaving 2.5% in each tail.

There Are a Number of Highly Touted Search Engines for Finding