Statistical Inference - Simulation

As in earlier labs, we will evaluate the strength of evidence against the "by chance alone" claim by first supposing it is true, that there is no tendency for students at your school to pick scissors less often. What we need to determine is how unusual it is when pi = 1/3 to observe a sample proportion at least as extreme (in the direction of the research conjecture) as we did in our sample.

Use simulation to approximate the probability of interest.  Even though the context is different, you can use the Reese's Pieces applet to conduct this simulation.

  • Specify the conjectured value of pi, the probability of orange.Use at least 3 decimal places.
  • Specify the Number of candies of our study.
  • Set the Number of samples to some large number like 500.
  • Press Draw Samples.
  • Use the As Extreme As box and indicate that you want to valuates less than or equal to what you observed in your sample and press Count.

Reeses Pieces Applet

Below is an internet applet you are to use for this lab.


(g) Include a screen capture of the applet in your report, making sure the mean and standard deviation reported by the applet are clear and the samples below our sample proportion are shaded and the percentage reported.

(h) Doe the observed sample proportion picking scissors in your class appear "surprising" when the population proportion equals 1/3? Explain briefly.

 

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