Mr. Jensen told his class that he plays basketball frequently, and he claimed that he could make 80% of his free-throw attempts. The class suspected that Mr. Jensen was actually less than an 80% free-throw shooter. To test their theory, they had Mr. Jensen shoot a series of 40 free-throws. He made p = 60% of them. To see how likely a sample like this was to happen by random chance alone, the class performed a simulation. They simulated 100 samples of n = 40 free-throws, where each free-throw had an 80% chance of being made. They recorded the proportion of free-throws made in each sample. Here are the sample proportions from their 100 samples: 0.60 0.70 0.80 0.90 1.00 Simulated sample proportions They want to test Ho: p = 80% vs. H: p< 80% where p is Mr. Jensen's true free-throw success rate. Based on these simulated results, what is the approximate p-value of the test? Note: The sample result was p= 60%. %3D Choose 1 answer: p-value 0.01 B p-value 0.02 p-value 0.04 p-value z 0.08

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Mr. Jensen told his class that he plays basketball frequently, and he claimed that he could make 80% of his
free-throw attempts. The class suspected that Mr. Jensen was actually less than an 80% free-throw
shooter. To test their theory, they had Mr. Jensen shoot a series of 40 free-throws. He made p = 60% of
them.
To see how likely a sample like this was to happen by random chance alone, the class performed a
simulation. They simulated 100 samples of n = 40 free-throws, where each free-throw had an 80%
chance of being made. They recorded the proportion of free-throws made in each sample. Here are the
sample proportions from their 100 samples:
0.60
0.70
0.80
0.90
1.00
Simulated sample proportions
Transcribed Image Text:Mr. Jensen told his class that he plays basketball frequently, and he claimed that he could make 80% of his free-throw attempts. The class suspected that Mr. Jensen was actually less than an 80% free-throw shooter. To test their theory, they had Mr. Jensen shoot a series of 40 free-throws. He made p = 60% of them. To see how likely a sample like this was to happen by random chance alone, the class performed a simulation. They simulated 100 samples of n = 40 free-throws, where each free-throw had an 80% chance of being made. They recorded the proportion of free-throws made in each sample. Here are the sample proportions from their 100 samples: 0.60 0.70 0.80 0.90 1.00 Simulated sample proportions
They want to test Ho: p = 80% vs. H: p< 80% where p is Mr. Jensen's true free-throw success rate.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p= 60%.
%3D
Choose 1 answer:
p-value 0.01
B
p-value 0.02
p-value 0.04
p-value z 0.08
Transcribed Image Text:They want to test Ho: p = 80% vs. H: p< 80% where p is Mr. Jensen's true free-throw success rate. Based on these simulated results, what is the approximate p-value of the test? Note: The sample result was p= 60%. %3D Choose 1 answer: p-value 0.01 B p-value 0.02 p-value 0.04 p-value z 0.08
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