The contingency table shows a random sample of urban, suburban, and rural libraries by the speed of their Internet access. In the table, mbps represents megabits per second. At α = 0.01, can you conclude that the metropolitan status of libraries and Internet access speed are related?

Perform the indicated chi-square independence test by doing the following.

(a) Identify the claim and state H₀ and H_a.

(b) Determine the degrees of freedom, find the critical value, and identify the rejection region.

(c) Find the chi-square test statistic. If convenient, use technology.

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim.

Internet access speed 6.0 mbps or less 6.1 mbps-20.0 mbps Greater than 20.0 mbps Metropolitan status Urban Suburban Rural 67 36 23 46 51 91 20