Answered: A student decides to spin a dime and…

Name: A student decides to spin a dime and determine the proportion of times
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Description: A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. Let p = the true proportion of times the dime would land on heads when spun. Un

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. Let p = the true proportion of times the dime would land on heads when spun. Under the assumption that the true proportion is 0.5, 100 simulated proportions for samples of size 25 is shown in the dotplot.

Using the dotplot, is there evidence that the proportion of times a spun dime lands on heads is greater than 0.5?

A) Yes, a proportion of 0.68 proves that the true proportion of heads is greater than 0.5.

B) Yes, a proportion of 0.68 only occurred once out of 100 simulated proportions; therefore, there is sufficient evidence that the true proportion of heads is greater than 0.5.

C) No, a proportion of 0.68 is only 0.18 more than 0.5; therefore, there is insufficient evidence that the true proportion of heads is greater than 0.5.

D) No, a proportion of 0.68 or more occurred 7 times out of 100 simulated proportions; therefore, there is insufficient evidence that the true proportion of heads is greater than 0.5.

Proportion of Heads
000 0000000
0.20
0.30
0.40
0.50
0.60
0.70
0.80
Simulated proportions of samples, n = 25

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