Questions: Determine the p-value in (a) and interpret its meaning. The p-value is 0.000. (Round to three decimal places as needed.) Interpret the p-value. The p-value is the probability that in a random sample of 298 organizations, the difference between the proportion of co-browsing organizations and non-co-browsing organizations that use skills-based routing to match the caller with the right agent will be greater than or less than the difference in this sample, assuming that the proportion of co-browsing organizations is equal to the proportion of non-co-browsing organizations that use skills-based routing to match the caller with the right agent. An earlier Z-test for the difference between two proportions in parts (b) and (c) resulted in a test statistic of ZSTAT=4.92 against critical values of -1.96 and 1.96, with a p-value of 0.000. Compare the results of (b) and (c) to the results of the Z-test. A. Both tests agree that the null hypothesis should not be rejected. B. The chi-square test concluded that the null hypothesis should not be rejected, while the Z-test concluded that the null hypothesis should be rejected. C. Both tests agree that the null hypothesis should be rejected. D. The chi-square test concluded that the null hypothesis should be rejected, while the Z-test concluded that the null hypothesis should not be rejected. E. The tests cannot be compared since the Z-test was a one-tail test, while the chi-square test was a two-tail test.

Transcript text: Determine the $p$-value in (a) and interpret its meaning. The $p$-value is 0.000 . (Round to three decimal places as needed.) Interpret the $p$-value. The $p$-value is the probability that in a random sample of 298 organizations, the difference between the proportion of co-browsing organizations and non-co-browsing organizations that use skills-based routing to match the caller with the right agent will be $\square$ the difference in this sample, assuming that the proportion of co-browsing organizations is $\square$ the proportion of non-co-browsing organizations that use skills-based routing to match the caller with the right agent. An earlier $Z$-test for the difference between two proportions in parts (b) and (c) resulted in a test statistic of $Z_{\text {STAT }}=4.92$ against critical values of -1.96 and 1.96 , with a $p$-value of 0.000 . Compare the results of (b) and (c) to the results of the $Z$-test. A. Both tests agree that the null hypothesis should not be rejected. B. The chi-square test concluded that the null hypothesis should not be rejected, while the $Z$-test concluded that the null hypothesis should be rejected. C. Both tests agree that the null hypothesis should be rejected. D. The chi-square test concluded that the null hypothesis should be rejected, while the $Z$-test concluded that the null hypothesis should not be rejected. E. The tests cannot be compared since the $Z$-test was a one-tail test, while the chi-square test was a two-tail test.