Inferential Statistical Analysis Level of Measurement Examples Hypotheses Test Statistic Conditions for use Q One sample ? known BMI Q One sample ? unknown Minutes physical activity Smoker C One sample C ? C Sex - smoker Q ? Q Height - weight C ? Q Sex - Height Independent Samples C ? Q Timepoint (baseline, Paired Samples follow-up) - weight, Partner dyad -
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- Hypotheses: H0: μ = μ0 (compare sample mean to a hypothesized population mean μ0). H1: μ ≠ μ0 (or one-sided H1: μ > μ0 or μ < μ0). - Test statistic: Z = (x̄ − μ0) / (σ / sqrt(n)). Use standard normal to get p-value. - Conditions for use: outcome is quantitative Show more…
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Following is a sample of five matched pairs. Sample 1: 19 16 14 18 19 Sample 2: 25 18 27 11 23 Let μ1 and μ2 represent the population means and let μd = μ1 - μ2. A test will be made of the hypotheses H0: μd = 0 versus H1: μd > 0. Compute the test statistic. -1.61 -1.113 -2.993 -0.498
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1. Each of the following is a characteristic of inferential statistics EXCEPT: A. Inferential statistics is used to test a claim about a sample B. Inferential statistics is used to estimate population parameters C. Inferential statistics uses sample data D. Inferential statistics is used to make inferences about a population from which a sample is drawn E. Inferential statistics is used in hypothesis testing 2. A single value used to approximate a population parameter is a _____ A. point estimate B. population value C. margin of error D. confidence interval E. critical value. 3. If the confidence level is 85% what is the value of Alpha? A. 1.20 B. .15 C. 1.44 D. .85 E. .925 F. 1.51 4. For any confidence interval, if the sample size is increased, the margin of error will: A. Decrease B. Neither increase nor decrease C. Be the same as the critical value D. Increase 5.The difference between the sample proportion (p-hat) and the population proportion (p) is known as: A. Confidence Level B. Confidence Interval C. Margin of Error D. Alpha E. Critical Value
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