. Approximately 13% of the general population is left-handed. A researcher has r

Question

. 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.

Explanation / Answer

null hypothesis: p=0.13

alternate hypothesis: p>0.13

b) as np>10 and n(1-p)>10 hence condition is met

c)phat =22/150 =0.1467

d)also std error =(p(1-p)/n)1/2 =0.027

hence test stat z=(phat-p)/std errror =0.607

for above p value=0.2719

e) as p value is higher then 0.05 level there is not sufficient  evidence that artists are more likely than the general public to be left-handed

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.