Connecting Tests and Intervals: Apply It 2

  • Explain how a confidence interval is related to a two-sided hypothesis test.
  Commonly-White Names Commonly-Black Names Total
Called back [latex]246[/latex] [latex]164[/latex] [latex]410[/latex]
Not called back [latex]2199[/latex] [latex]2281[/latex] [latex]4480[/latex]
Total [latex]2445[/latex] [latex]2445[/latex] [latex]4890[/latex]

Let [latex]p_1[/latex]= true proportion of commonly-white named resumés that receive a callback.

Let [latex]p_2[/latex]= true proportion of commonly-black named resumés that receive a callback.

Let’s use technology to find the confidence interval for the data set.


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