A study was conducted by a car manufacturer concerning a particular make and model. A group of 500 potential customers were asked whether they picked their current car by its appearance, performance or cost. The results are shown in the table below: Appearance Performance Cost Totals Male customer 100 50 35 185 Female customer 80 170 65 315 Totals 180 220 100 500 A. What type of test is this? ANOVA Chi square test of independence Chi square goodness of fit correct answer is not given B. What is the alternative hypothesis? The variables are independent. The variables are dependent. C. What is the critical value, using a 1% level of significance?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A study was conducted by a car manufacturer concerning a particular make and model. A group of 500 potential customers were asked whether they picked their current car by its appearance, performance or cost. The results are shown in the table below:
| Appearance | Performance | Cost | Totals | |
| Male customer | 100 | 50 | 35 | 185 |
| Female customer | 80 | 170 | 65 | 315 |
| Totals | 180 | 220 | 100 | 500 |
A. What type of test is this?
- ANOVA
- Chi square test of independence
- Chi square goodness of fit
- correct answer is not given
B. What is the alternative hypothesis?
- The variables are independent.
- The variables are dependent.
C. What is the critical value, using a 1% level of significance?
D. What is the expected value for a male picking his car by appearance?
E. What is the test statistic? Report to 3 decimal places.
F. What is the conclusion?
- The variables are independent.
- The variables are dependent.
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