10% of people in the US are left-handed. A researcher wants to test the theory t

Question

10% of people in the US are left-handed. A researcher wants to test the theory that creative people are more likely to be left-handed than the average person. She randomly selects 9 artists in the community and finds that 2 of them are left-handed. Is this enough evidence to conclude that artists are statistically more likely to be left-handed?

a. What are your null and alternative hypotheses?

b. What is the probability of finding this many left-handers? Write your probability statement and then find the p-value.

c. Given the p-value in part b, what is your conclusion?

Explanation / Answer

a)

Ho : p= 0.10

H1 : p > 0.10

b)

P = 2 / 9 = 0.22

Z = 0.22 - 0.10 / [srqt ( 0.10*0.90 / 9) ]

Z = 0.12 / 0.1

Z= 1.2

p value : 0.1151

for alpha = 0.05

we fail to reject Ho because p value is greater than 0.05

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