Question
What role does the sample size play in determining statistical significance? Approximately 13% of the general population is left-handed. A researcher has recently come into
What role does the sample size play in determining statistical significance? 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 are those in the general population. She selects a random sample of n members of the American Guild of Artists and asks each (among other questions) whether they are left-handed or not. The sample proportion (who are left-handed) is 0.1467. Do these data provide strong evidence that artists are more likely than the general public to be left-handed? Compute the p-value if (i) n = 150, (ii) n = 600, (iii) n = 1500. Explain the relationship between the sample size and the p-value.
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