L18 & L19 Social Science Statistics

 By the end of lesson 18, you should be able to do the following.

Regarding Confidence Intervals for a comparison of two proportions:

  • Calculate and interpret a confidence interval for a comparison of two proportions 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.

Regarding Hypothesis Testing for a comparison of two proportions:

  • State the null and alternative hypothesis for the chosen test.
  • 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:

*Is there a difference = Hypothesis test
*HOW MUCH of a difference = Confidence Interval

>THERE ARE NO P-HATS or X BAR IN HYPOTHESIS

>Comparing right-handed people to left-handed people is a one proportion test
>Comparing right-handed women to left-handed men is a two proportion test.

*Hit ENTER after you plug in numbers into toolbox!!!


By the end of lesson 19, you should be able to do the following.

Regarding Hypothesis Testing for a Test of independence for categorical data:

  • State the null and alternative hypothesis for the chosen test.
  • Calculate the test-statistic, df 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.

Regarding Hypothesis Testing for a goodness of fitness test:

  • State the null and alternative hypothesis for the chosen test.
  • Calculate the test-statistic, df 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:
  • X^2 Test of Independence: (observed count - expected count)^2
                                                            expected count
  • The expected count is based on the null hypothesis being true.
  • chi test requirement based on the expected counts not the observed counts
  • Do NOT use any totals rows or columns for df.
>Chi-Square distribution and F Distribution are both skewed right.

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