Chapter 11.2, Problem 44E

(a)

To determine

To Sate: the suitable hypothesis and explain the P-value and make the conclusion.

Explanation of Solution

Given:

The P-value is

P = 0.000 = 0.0%

The null hypothesis statement is that there is no relation between the variables:

  $H_0$ : There is no relation between the variables

The alternative hypothesis states that there is a relation between the

variables:

  $H_1$ : There is a relation between the variables

The P-value is the probability of obtaining the value of the test statistic, or a value more extreme, if the null hypothesis is true. If the variables do not exist, the probability that a similar or more extreme sample can be generated is 57.0 per cent.

(b)

To determine

To Explain: these outputs are compatible with the test in part (a).

Explanation of Solution

Given:

P=0.000=0.0%

Calculation:

  $\begin{array}{l}{H}_0:p_1-p_2=0\\ H_1:p_1-p_2\ne 0\end{array}$

From this P-value there would be concluded that there is a difference between the population which is the case if there is an association between the variable Therefore the two-sample z-test tests the same as the chi-square test, which is also apparent out of the identical P-values.