A two-proportions $\mathrm { z }$-test is to be performed. The null hypothesis is $\mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 }$. For the given sample data compute the value of the test statistic.
-A random sampling of sixty pitchers from the National League and fifty-two pitchers from the American League showed that 17 National and 6 American League pitchers had E.R.A's below

Question

Quizplus · Accepted Answer

The correct calculation of the z-test statistic for comparing two proportions involves using the formula for the z-test statistic in a two-proportion z-test. The given information allows for the calculation of the sample proportions and the combined proportion under the null hypothesis, leading to the calculation of the z-value. The option with a z-value of 2.194 is the plausible result from such a calculation, indicating a moderate to strong evidence against the null hypothesis depending on the significance level chosen.

A Two-Proportions z\mathrm { z }z -Test Is to Be Performed H0:p1=p2\mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 }H0​:p1​=p2​

A Two-Proportions $\mathrm { z }$ -Test Is to Be Performed $\mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 }$