L16 & L17 Social Science Statistics

 By the end of lesson 16, you should be able to:

  • Calculate and interpret a sample proportion.
  • Summarize categorical data with a bar or pie chart.
  • Determine the mean, standard deviation and shape of a distribution of sample proportions.
  • Calculate probabilities using a distribution of sample proportions.

REMEMBER:

*A proportion is a fraction that's been converted to decimal form.

>Pareto Principle: 80% of the outcomes are from 20% of the causes.


By the end of lesson 17 you should be able to do the following:

Regarding Confidence Intervals for a single proportion:

  • Calculate and interpret a confidence interval for a single proportion given a confidence level.
  • Identify a point estimate and margin of error for the confidence interval.
  • Show the appropriate connections between the numerical and graphical summaries that support the confidence interval.
  • Check the requirements for the confidence interval.
  • Calculate a desired sample size given a level of confidence and margin of error (with or without a prior estimate of the population proportion).

Regarding Hypothesis Testing for a single proportion:

  • State the null and alternative hypothesis.
  • Calculate the test-statistic and p-value of the hypothesis test.
  • Assess the statistical significance by comparing the p-value to the α-level.
  • Check the requirements for the hypothesis test.
  • Show the appropriate connections between the numerical and graphical summaries that support the hypothesis test.
  • Draw a correct conclusion for the hypothesis test.

REMEMBER:

*P^ confidence interval requirements are different than hypothesis test (p)

> Hypothesis is always written about parameters so no x bar or p hat

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