Question

(b) which one of the following best describes the explanatory (independent) and response (dependent) variables? the explanatory variable is the brand of smoothie drink and the response variable is the percentage of shoppers who have purchased fruiti - blend. the explanatory variable is the percentage of shoppers who have purchased fruiti - blend and the response variable is gender. the explanatory variable is gender and the response variable is the percentage of shoppers who have purchased fruiti - blend. (c) suppose there is a significant difference between the percentage of female shoppers who purchased fruiti - blend and the percentage of male shoppers who purchased fruiti - blend. has the researcher found evidence to support a claim that there is an association between a shoppers gender and purchasing fruiti - blend? choose the best answer below. no. evidence can never be found to support a claim that two variables are associated. yes. however, further work would be needed to have a well - justified claim that the difference in percentage of shoppers who purchased fruiti - blend is caused by the shoppers gender. yes. in fact, the researcher would be well - justified in making the even stronger claim that the difference in percentage of shoppers who purchased fruiti - blend is caused by the gender of the shopper.

Explanation:

(b) In a study of relationships between variables, the independent variable is what is manipulated or studied to see its effect on the dependent variable. Here, gender is being studied to see its effect on the percentage of shoppers who purchased Fruiti - Blend, so gender is the explanatory (independent) variable and the percentage of shoppers who purchased Fruiti - Blend is the response (dependent) variable.
(c) To claim an association between two variables, significant evidence is needed. Just because there is a difference in the percentage of male and female shoppers who purchased Fruiti - Blend does not necessarily mean there is an association. More analysis and evidence such as a statistical test showing a significant result would be required.

Answer:

(b) The explanatory variable is gender and the response variable is the percentage of shoppers who have purchased Fruiti - Blend.
(c) No. Evidence can never be found to support a claim that two variables are associated without proper statistical analysis and significant results.