Applet Exercise Refer to Exercises 8.51 and 8.52. Change
Chapter 8, Problem 53E(choose chapter or problem)
Applet Exercise Refer to Exercises 8.51 and 8.52. Change the value of 𝑝 to .25 (put the cursor
on the vertical line and drag it to the left until 0.25 appears as the true probability). Change the
sample size to \(n=75\) and the confidence coefficient to .90.
a Click the button “One Sample” a single time.
i What is the length of the resulting interval? Is the interval longer or shorter than that obtained in Exercise 8.51(d)?
ii Give three reasons that the interval you obtained in part (i) is shorter than the interval obtained in Exercise 8.51(d).
b Click the button “100 Samples” a few times. Each click will produce 100 intervals and provide you with the number and proportion of those 100 intervals that contain the true value of 𝑝. After each click, write down the number of intervals that captured \(p=.25\)
i How many intervals did you generate? How many of the generated intervals captured the true value of 𝑝 ?
ii What percentage of all the generated intervals captured 𝑝 ?
Equation Transcription:
Text Transcription:
n=75
p=.25
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