Question

In: Accounting

e. Q19. ABC Furniture has 1000 employees. Out of a sample of 50 employees, 40% had...

e.

Q19. ABC Furniture has 1000 employees. Out of a sample of 50 employees, 40% had requested transfers to Montreal.

Estimate the true percentage of transfer requests using a level of confidence of 90%.

Conclude your analysis with a sent

Expert Solution

Please find below answer

sample size n =50, 40% of 50 = 20, p= 20/50 = 0.40 and q = 1-p = 1-0.40 = 0.60

confidence level =90% = 0.90, α =1-0.90 = 0.10

pvalue = 1- (α /2) = 1-(0.10/2) = 1-0.05 = 0.95

form z score table: Z α/2 = 1.65

Lower limit = = 0.60-1.65.

= 0.60-1.65

=0.60-0.1143 = 0.4857

Upper limit = p+zα2(p*q)/n = 0.60+1.65/

= 0.60+1.65

=0.60+0.1143 = 0.7143

Conclusion 0.4857<P<0.7143

“We are at 90% confidence that the population of the people who has asked for transfer request lies between 48.57% to 71.43%

ekkarill92 answered 5 months ago

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