Question 1
A researcher categorises exam scores into 8 groups and tests whether they follow a Poisson distribution, estimating the parameter from the sample data. What is the correct number of degrees of freedom for the chi-squared goodness of fit test?No clue? Show me the answer
Correct answer
Correct!
IncorrectStep-by-step walkthrough
Choose a solution method
Method #1Worked solutionStep 1: State the formula
.
Step 2: Substitute values
There are categories and parameter () estimated from the data.
Step 3: Compute df
.
Step 4: Conclusion
The correct degrees of freedom is .
Method #2Why the others are wrongStep 1: Option B
comes from forgetting to subtract the estimated parameter , only applying the for total probability.
Step 2: Option C
results from mistakenly subtracting parameters, as if fitting a normal distribution instead of a Poisson.
Step 3: Option D
ignores both the constraint and the parameter subtraction entirely.
Step 4: Correct choice
Only correctly applies both subtractions.
Question 2
Which of the following survey questions is an example of a double-barrelled question?No clue? Show me the answer
Correct answer
Correct!
IncorrectStep-by-step walkthrough
Choose a solution method
Method #1Worked solutionStep 1: Define double-barrelled
A double-barrelled question asks about two separate attributes within a single question.
Step 2: Examine option A
"Easy to use" and "reliable" are two distinct attributes bundled into one question.
Step 3: Check for ambiguity
A respondent finding the app easy but unreliable cannot answer honestly with one response.
Step 4: Conclusion
Option A is the double-barrelled question.
Method #2Why the others are wrongStep 1: Option B
This asks about a single attribute (ease of use) using a defined scale - well constructed.
Step 2: Option C
This asks about a single behaviour (frequency of use) with no ambiguity.
Step 3: Option D
This is a leading question, not double-barrelled - it pushes toward a positive answer but only addresses one concept (quality/value combined loosely, but the defining flaw here is bias, not two separate measurable constructs).
Step 4: Correct choice
Only option A explicitly combines two separate measurable constructs.