It is commonly said that 10% of people are left-handed, but Lilianna suspected that a higher proportion of art students at her university are left-handed. To test this theory, she took a sample of 150 art students and found that p = 14% of the sample was left-handed. To see how likely a sample like this was to happen by random chance alone, Lilianna performed a simulation, She took a sample of n = 150 students from a population where 10% of the students were left-handed, and she recorded what proportion of the sample was left-handed. She repeated this process for a total of 50 samples. Here are the sample proportions from her 50 samples:

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A        p-value ~ 0.02

B       p-value ~0.04

c       p-value ~ 0.08 

D     p value ~ 0.18
                

It is commonly said that 10% of people are left-handed, but Lilianna suspected that a higher proportion of art
students at her university are left-handed. To test this theory, she took a sample of 150 art students and found
that p = 14% of the sample was left-handed.
To see how likely a sample like this was to happen by random chance alone, Lilianna performed a simulation, She
took a sample of n = 150 students from a population where 10% of the students were left-handed, and she
recorded what proportion of the sample was left-handed. She repeated this process for a total of 50 samples
Here are the sample proportions from her 50 samples:
HITHTHTHHT|
0.04 0.06
0.08
0.1
0.12
0.14 0.16
Simulated sample proportions
Transcribed Image Text:It is commonly said that 10% of people are left-handed, but Lilianna suspected that a higher proportion of art students at her university are left-handed. To test this theory, she took a sample of 150 art students and found that p = 14% of the sample was left-handed. To see how likely a sample like this was to happen by random chance alone, Lilianna performed a simulation, She took a sample of n = 150 students from a population where 10% of the students were left-handed, and she recorded what proportion of the sample was left-handed. She repeated this process for a total of 50 samples Here are the sample proportions from her 50 samples: HITHTHTHHT| 0.04 0.06 0.08 0.1 0.12 0.14 0.16 Simulated sample proportions
0.04
0.06
0.08
0.1
0.12
0.14
0.16
Simulated sample proportions
She wants to test Ho : p = 10% vs. H :p > 10% where p is the proportion of art students at her university
who are left-handed.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p = 14%.
Transcribed Image Text:0.04 0.06 0.08 0.1 0.12 0.14 0.16 Simulated sample proportions She wants to test Ho : p = 10% vs. H :p > 10% where p is the proportion of art students at her university who are left-handed. Based on these simulated results, what is the approximate p-value of the test? Note: The sample result was p = 14%.
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