Question

The data has two variables, age (young and old) and stress (high and low). The question to be addressed is whether more young people tend to have low stress as compared to old people. The most appropriate statistical test is _________________________-- A) Chi-square test

B) Paired samples t-test
C) Independent samples t-test
D) Analysis of Variance (ANOVA)

Answer 1

The most appropriate statistical test to determine if more young people tend to have low stress compared to old people is the Chi-square test of independence, which compares observed frequencies against expected frequencies to assess the association between two categorical variables.

Step-by-step explanation:

To determine whether more young people tend to have low stress compared to old people, the most appropriate statistical test is the Chi-square test of independence. This test is suitable for comparing categorical variables. Here, we have two categorical variables: age (young and old) and stress (high and low). The Chi-square test will compare the observed frequencies of low and high stress in young and old people against the frequencies that would be expected if there were no association between age and stress levels.

The test's null hypothesis is that the two variables, age and stress level, are independent. If the resulting p-value is less than the chosen significance level (commonly 0.05), we would reject the null hypothesis and conclude that there is a significant association between age and stress level.