A survey of 100 CEOs finds that 58 of them think that the economy will improve n

Question

A survey of 100 CEOs finds that 58 of them think that the economy will improve next year. Is there evidence that the rate is higher among all CEOs than the 52% reported by the public at large? a) Find the standard deviation of the sample proportion based on the null hypothesis. b) Find the z-statistic. c) Does the z-statistic seem like a particularly large or small value? a) The standard deviation of the sample proportion based on the null hypothesis is (Round to three decimal places as needed.) b) The z-statistic is (Round to two decimal places as needed.) c)Choose the correct answer below. A. Yes, that's an unusually large z-value. B. No, that is not an unusual value for z. C. Yes, that's an unusually small z-value

Explanation / Answer

a|) null hypothesis: p=0.52

alternate hypothesis: p>0.52

a) here n=100

hence std deviation of proportion =(p(1-p)/n)1/2 =0.05

b)sample proportion phat =58/100=0.58

hence test stat z=(phat-p)/std error =(0.58-0.52)/0.05 =1.2

c)option B is correct

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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