Connecting Tests and Intervals: Learn It 2

  • Explain how a confidence interval is related to a two-sided hypothesis test.

Experiment: Researchers asked the participants to stabilize the roof to avoid squashing the figurine. About half the participants were told: “Each piece you add costs [latex]10[/latex] cents.” Even with that financial penalty, only [latex]40[/latex] out of [latex]98[/latex] participants thought to remove the destabilizing block and just rest the roof on top of the wide pillar. The researchers gave the remaining participants a more explicit message: “Each piece you add costs [latex]10[/latex] cents but removing pieces is free.” That cue prompted [latex]60[/latex] out of [latex]99[/latex] participants to remove the block.”

Let’s use technology to perform the hypothesis test for the difference between two proportions and use it to make inference about the population.


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