Question

For each of the following scenarios, identify: the population of interest, the outcome variable being measured...

  1. For each of the following scenarios, identify:
  • the population of interest,
  • the outcome variable being measured on each observational unit,
  • whether the outcome variable being measured is categorical or quantitative/Continuous,
  • the parameter of interest, define both in words and using the appropriate statistical symbol (π, π1 -π2, µ, µ1 - µ2, or µd), and
  • the null and alternative hypotheses, written in correct statistical notation (not in words)

Name the hypothesis test you would use. For example, some tests we have learned are:

  • one-sample t-test of the population mean
  • one sample z-test of the population proportion
  • independent two-sample pooled t-test for the difference between population means
  • independent two-sample unpooled z-test for the difference between population means
  • Paired t-test for 2 dependent samples
  • independent two-sample z-test for the difference between population proportions
  • McNemar test for dependent proportions
  • Chi-square test for homogeneity
  • Chi-square test for of independence
  1. A study was conducted looking at risk factors for HIV infection among intravenous drug users enrolled in a methadone program. Data was collected on family income (<$10,000, $10,000-$20,000, >$20,000) and the HIV antibody status (positive/negative) as assessed by blood testing at one point in time.
  1. Suppose from large studies we know that the mean cholesterol in children aged 2-14 is 175 mg/dL. We wish to see if there is a familial aggregation of cholesterol level. We identify a group of fathers who have elevated cholesterol levels (>250 mg/dL) and have had a heart attack and measure the cholesterol levels of their offspring within the 2-14 age range.
  1. To examine the safety of working in a nuclear power plant, we assess deaths due to cancer among all deaths at a particular power plant. Based on vital statistics, about 20% of all deaths can be attributed to some form of cancer.
  1. We wish to assess whether there is a relationship between bone mineral density and cigarette smoking. To approach this problem we have a sample of twin pairs, where one twin is a heavy smoking twin and the other twin is a lighter smoking.
  1. A randomized trial study is performed to compare survival (time to death in months) two chemotherapy drugs (A vs B) among cancer patients. A sample of cancer patients are randomly assigned to treatment A or B.

Homework Answers

Answer #1

a.) The hypothesis is Chisquare test for homogeneity.The outcome variable is standard deviation of sample population s​​​​​​2.Outcome variable is quantitative.

d.)The hypothesis is Chisquare test for homogeneity.The outcome variable is standard deviation of sample population s​​​​​​2. Outcome variable is quantitative.

e.) The hypothesis is Chisquare test for independence. Outcome variable is s​​​​​​2. Outcome variable is quanitative.

b.)The hypothesis is one sample t distribution.outcome variable is . Outcome variable is quantitative.

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