A study reports that 36% of companies in country A have three or more female boa

Question

A study reports that 36% of companies in country A have three or more female board directors. Support you select a random sample of 100 respondents. Complete parts (a) through (c) below. What is the that the sample will have between 31% and 42% of companies in country A that have three or more female board directors? The probability is (Round to four decimal places as needed.) The probability is 60%thatthe sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population percentage? The probability is 60% that the sample percentage will be contained above % and below % (Round to one decimal place as needed.) The probability is 68% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population percentage? The probability is 68% that the sample percentage will be contained above % and bel

Explanation / Answer

a)here std error of proportion =(p(1-p)/n)1/2 =(0.36*0.64/100)1/2 =0.048

hence P(0.31<X<0.42)=P((0.31-0.36)/0.048<Z<((0.42-0.36)/0.048)=P(-1.0417<Z<1.25)=0.8944-0.1488=0.7456

b)for mid 60% value; z=0.8416

hence interval =31.96% to 40.04%

c)for 68%, z=0.9945

hence interval =31.23% to 40.77%

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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