Question

A group of 300 housewives was interviewed to determine if there is a preference for one of two detergents. Detergent A was favored by 135 housewives; the others favored Detergent B. Which procedure would you perform to ascertain if the data provide sufficient evidence to indicate a difference in preference for the two detergents

Answer 1

Answer: Using Chi-square.

Step-by-step explanation: To check if the provided data show any differences in preference for the two detergents (i.e., two variables), a Chi-square can be deployed, as it is used to test the goodness of fit, and test if two variables are related.

If the value obtained is less than 0.05, it means that there is statistical difference between the preference for the two detergents.

However, if the obtained value is higher than 0.05, it translates that there is no statistical difference between the preference for the two detergents.