At a recent car show, a sample of 125 people produced the following results. Use the 0.05 significance level to determine if there is a relationship between age and model preferred.
A) Reject the null hypothesis, there is a significant relationship between age and model preferred at the 5% level of significance.
B) Unable to reject the null hypothesis, there is a significant relationship between age and model preferred at the 5% level of significance.
C) Reject the null hypothesis, there is insufficient evidence to show a significant relationship between age and model preference.
D) Unable to reject the null hypothesis, there is significant relationship between age and model preferred at the 5% level of significance.

Question

At a recent car show, a sample of 125 people produced the following results. Use the 0.05 significance level to determine if there is a relationship between age and model preferred. 
A) Reject the null hypothesis, there is a significant relationship between age and model preferred at the 5% level of significance. 
B) Unable to reject the null hypothesis, there is a significant relationship between age and model preferred at the 5% level of significance. 
C) Reject the null hypothesis, there is insufficient evidence to show a significant relationship between age and model preference. 
D) Unable to reject the null hypothesis, there is significant relationship between age and model preferred at the 5% level of significance.

Quizplus · Accepted Answer

To determine if there is a relationship between age and model preferred, we need to conduct a chi-square test of independence. Based on the given data, we can calculate the expected frequencies and then compare them to the observed frequencies using the chi-square test statistic. The calculated chi-square value is greater than the critical value at 0.05 significance level and therefore we reject the null hypothesis. This means that there is a significant relationship between age and model preferred at the 5% level of significance.

At a Recent Car Show, a Sample of 125 People