He wants to test Ho : p= 50% vs. H : p + 50% where p is the true proportion of spins this coin would land showing "heads." Based on these simulated results, what is the approximate p-value of the test? Note: The sample result was p = 60%. Choose 1 answer: p-value 0.056 p-value 0.07 p-value 0.08

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Chapter1: Combinatorial Analysis
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Elian heard that spinning a coin on a flat surface-rather than flipping it-made the probability of the coin landing
showing "heads" something other than 50%. To test this theory, he spun a nickel a series of 80 times and
observed that p= 60% of the spins landed showing "heads."
To see how likely a sample like this was to happen by random chance alone, Elian performed a simulation. He
80 spins where each spin had a 50% chance of showing "heads," and he recorded
generated a sample of n =
what proportion of spins in the sample showed "heads." He repeated this process for a total of 125 samples.
Here are the sample proportions from his 125 samples:
0.35
0.40
0.45 0.50 0.55
0.60 0.65
Simulated sample proportions
Transcribed Image Text:Elian heard that spinning a coin on a flat surface-rather than flipping it-made the probability of the coin landing showing "heads" something other than 50%. To test this theory, he spun a nickel a series of 80 times and observed that p= 60% of the spins landed showing "heads." To see how likely a sample like this was to happen by random chance alone, Elian performed a simulation. He 80 spins where each spin had a 50% chance of showing "heads," and he recorded generated a sample of n = what proportion of spins in the sample showed "heads." He repeated this process for a total of 125 samples. Here are the sample proportions from his 125 samples: 0.35 0.40 0.45 0.50 0.55 0.60 0.65 Simulated sample proportions
He wants to test Ho : p = 50% vs. Ha : p 50% where p is the true proportion of spins this coin would
land showing "heads."
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p = 60%.
Choose 1 answer:
A
p-value - 0.056
B
p-value 0.07
p-value 0.08
p-value 0.10
Transcribed Image Text:He wants to test Ho : p = 50% vs. Ha : p 50% where p is the true proportion of spins this coin would land showing "heads." Based on these simulated results, what is the approximate p-value of the test? Note: The sample result was p = 60%. Choose 1 answer: A p-value - 0.056 B p-value 0.07 p-value 0.08 p-value 0.10
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