Q.53 - The Practice of Statistics for AP

Question

The appropriate null hypothesis for performing a chi-square test is that 

(a) equal proportions of female and male teenagers are almost certain they will be married in $10$ years. 

(b) there is no difference between female and male teenagers in this sample in their distributions of opinions about marriage. 

(c) there is no difference between female and male teenagers in the population in their distributions of opinions about marriage. 

(d) there is no association between gender and opinion about marriage in the sample. 

(e) there is no association between gender and opinion about marriage in the population. 

Step-by-Step Solution

Answer

The correct option is (e) $H_0$ : There is no relationship between two variables.

Step 1: Given Information

The table is 

Step 2: Explanation

Using the provided information, the hypotheses are:

$H_0$ : There is no relationship between two variables

$H_a$ : There is a relationship between two variables

Thus, the correct option is (e).