​Co-browsing refers to the ability to have a contact centeragent and customer jointly navigate an application on a real timebasis through the web. A study of businesses indicates that 88 of126 ​co-browsing organizations use​ skills-based routing to matchthe caller with the right​ agent, whereas 61of 180 ​non-co-browsingorganizations use​ skills-based routing to match the caller withthe right agent.
a. At the0.01 level of​ significance, is there evidence of adifference between​ co-browsing organizations and​ non-co-browsingorganizations in the proportion that use​ skills-based routing tomatch the caller with the right​ agent? Let π1represent theproportion of​ co-browsing organizations, and let π2 represent theproportion of​ non-co-browsing organizations. What are the null andalternative hypotheses to​ test?
calculate the test statistic
x2stat =
What is the critical value for .01
x2 .01 =
b. The p-value =
b. An earlier​ Z-test for the difference between two proportionsin parts​ (a) and​ (b) resulted in a test statistic of ZSTAT=6.19against critical values of −2.33 and 2.33 with a​ p-value of .000.Compare the results of​ (b) and​ (c) to the results of the​Z-test.
