Chapter 11.2, Problem 43E

(a)

To determine

To State: the suitable hypothesis and explain the p-value and conclusion.

Explanation of Solution

Calculation:

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 statement is that there is an relation between the variables:

  $H_1$ : There is a relation between the variables

In the output p-value is

P = 57.0% =0.57

The P-value is the probability of getting the value of the test statistic, or a value more extreme, if the null hypothesis is true. If there is no between the variables, then there have a probability of 57.0% of getting a exact or more extreme sample.

(b)

To determine

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

Explanation of Solution

Given:

P=0.570=57.0%

Calculation:

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

It is inferred from this P-value that there is no difference population proportions that exist when there is no relationship the variables. Therefore, the t-test of two sample the same the chi-square test, which is of the same p-values, even obvious