MRA Statistical Techniques & Data Interpretation 2

Question 1

A researcher conducts an ANOVA test and obtains a p-value of 0.03 with an alpha of 0.05. What is the correct conclusion?

Accepted Answer

Reject the null hypothesis; at least one group mean differs

Answer

Because p (0.03) < alpha (0.05), we reject the null hypothesis and conclude at least one group mean is significantly different.

Question 2

In regression analysis, what does a coefficient of determination (R²) of 0.85 indicate?

Accepted Answer

85% of the variance in the dependent variable is explained by the model

Answer

R² represents the proportion of variance in the outcome variable that is explained by the predictor(s) in the model.

Question 3

Which measure of central tendency is most appropriate when data contains extreme outliers?

Accepted Answer

Median

Answer

The median is resistant to outliers because it reflects the middle value rather than the arithmetic average of all values.

Question 4

A market researcher uses a chi-square test on survey data. What type of data is this test designed for?

Accepted Answer

Categorical (nominal) data

Answer

The chi-square test of independence is used to evaluate relationships between categorical (nominal) variables using frequency counts.

Question 5

When a confidence interval for a mean is reported as (42, 58), what does this mean?

Accepted Answer

We are confident (at the stated level) that the interval captures the true population mean

Answer

A confidence interval means that if we repeated the study many times, the stated percentage of such intervals would contain the true parameter.

(MRA) Market Research Analyst Certification Practice Test