Number and Algebra
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Geometry and Trigonometry
Statistics and Probability
Calculus
A Likert scale provides options: Strongly agree, Agree, Neutral. Identify the issue and propose a balanced five‐point scale.
Identify the bias in the question “Isn’t school bad?” and rewrite it as a neutral survey question.
Explain why the question “Do you like math and science?” is flawed and rewrite it to avoid double‐barreling.
Classify the survey question “Do you study a lot?” by type and explain its flaw. Then rewrite it as a structured question with an ordinal answer scale.
Examine the following answer choices for “How often do you exercise?” A. Daily B. Often C. Sometimes D. Rarely Identify the issue with these categories and propose corrected, mutually exclusive frequency ranges.
Revise the following question to improve clarity: “In your opinion, how significant do you find the majority of the overall economic factors affecting your monthly expenditures?”
If a survey historically has a 25% response rate and you need at least 400 completed surveys, how many people should you contact?
Calculate the 95% margin of error for estimating a proportion from a simple random sample of size n=400n=400n=400, assuming p=0.5p=0.5p=0.5.
Identify the sampling method and a potential bias in the procedure: “Survey every 10th name in the phone directory to gauge customer satisfaction.”
In a weighted survey, three age groups have sample sizes and weights: group A: nA=100,wA=1.5n_A=100, w_A=1.5nA=100,wA=1.5, group B: nB=150,wB=1.0n_B=150, w_B=1.0nB=150,wB=1.0, group C: nC=50,wC=2.0n_C=50, w_C=2.0nC=50,wC=2.0. Their mean responses are xˉA=4.2\bar x_A=4.2xˉA=4.2, xˉB=3.8\bar x_B=3.8xˉB=3.8, xˉC=4.5\bar x_C=4.5xˉC=4.5. Compute the overall weighted mean.
Determine the minimum sample size required for a 95% confidence interval for a proportion with margin of error ±3%\pm3\%±3%, assuming p=0.5p=0.5p=0.5.
A survey of 1000 people yields 600 respondents, 60% of whom support measure X. Assuming nonrespondents differ by ±10%\pm10\%±10% in support, find the possible range for the true support in the population.
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Question Type 2: Fixing the line of questioning for poor questions