In a marketing research study aimed at understanding the impact of a new advertising campaign on consumer purchasing behavior, researchers employ various inferential statistical methods to analyze the data. Which scenario best exemplifies the use of inferential statistics to draw conclusions about the population based on sample data, and identifies the method primarily employed in this approach?

Question 11Answer

a.

Researchers calculate the mean and standard deviation of purchase amounts before and after the campaign to summarize the central tendency and variability in the data.

b.

Researchers conduct a chi-square test to examine the relationship between demographic variables (e.g., age, gender) and the likelihood of purchasing the advertised product.

c.

Researchers apply a t-test to determine if there is a statistically significant difference in average purchase amounts between consumers who were exposed to the campaign and those who were not.

d.

Researchers use linear regression analysis to predict future sales based on the number of advertisements viewed by consumers and their purchase history.

e.

Researchers perform an ANOVA test to compare the average purchase amounts across different demographic groups exposed to varying levels of advertising intensity.