Approximately 13% of the general population is left-handed. A researcher has recently come into contact with a number of left-handed artists and wonders whether artists are more likely to be left-handed than the general population. She selects a random sample of 150 members of the American Guild of Artists and asks each (among other questions) whether or not he or she is left-handed.
a) State the null and the alternative hypothesis in this case. Be sure to define p (in words, please).
b) Verify that the sample size condition is met in this case.
c) Of the 150 artists in the sample, 22 are left-handed. Compute the sample proportion that is left-handed.
d) Compute the p-value associated with this sample result.
e) Do these data provide strong evidence that artists are more likely than the general public to be left-handed? Explain.