Small sample: During an economic downturn, companies were sampled and asked whether they were planning to increase their workforce. Only of the companies were planning to increase their workforce. Use the small-sample method to construct a confidence interval for the proportion of companies that are planning to increase their workforce. Round the answers to at least three decimal places. A confidence interval for the proportion of companies that are planning to increase their workforce is .

Complete Question

The complete question is shown on the first uploaded image

The confidence level interval is  

Step-by-step explanation:

The sample size is  

The number planning to increase workforce is  

 The confidence level is  %

The value of proportion for a plus 4 method is

substituting values

The z-critical value at confidence level of 98% is

This values is obtained from the standard normal table

The confidence level interval can be mathematically represented as

substituting values

=>  

associative property hopes this ! : )

step-by-step explanation:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2