MRA Statistical Analysis & Interpretation 2

Question 1

A researcher finds a correlation of r = 0.85 between advertising spend and sales. What percentage of the variance in sales is explained by advertising spend?

Accepted Answer

72.25%

Answer

R-squared = r² = 0.85² = 0.7225, so 72.25% of variance is explained.

Question 2

When conducting a two-sample t-test, what assumption must be verified about the populations?

Accepted Answer

They must be normally distributed or have large enough samples

Answer

The two-sample t-test assumes normality of populations or relies on the Central Limit Theorem with sufficiently large samples.

Question 3

A market researcher uses a Likert scale from 1-5. What is the most appropriate measure of central tendency to report?

Accepted Answer

Median

Answer

Median is preferred for ordinal Likert data because it respects rank order without assuming equal intervals.

Question 4

In ANOVA, the F-statistic is calculated as the ratio of which two quantities?

Accepted Answer

Between-group variance to within-group variance

Answer

F = Mean Square Between / Mean Square Within; a high F indicates group means differ more than expected by chance.

Question 5

A study reports p = 0.03 with α = 0.05. Which conclusion is correct?

Accepted Answer

Reject the null hypothesis

Answer

Since p (0.03) < α (0.05), the result is statistically significant and the null hypothesis is rejected.

(MRA) Market Research Analyst Certification Practice Test

(MRA) Market Research Analyst Certification Practice Test

MRA Statistical Analysis & Interpretation 2