According to a study, 1156 out of 7730 adults said that they would ask their siblings first in case they need an emergency loan. Using these data, construct a 90% confidence interval. Also find the margin of error. Round your answers to 3 decimal places.

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According to a study, 1156 out of 7730 adults said that they would ask their siblings first in case they need an emergency loan. Using these data, construct a 90% confidence interval. Also find the margin of error. Round your answers to 3 decimal places.

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Step 1

Obtain the 90% percent confidence interval for the proportion of adults said that they would ask their siblings first in case they need an emergency loan.

 

The 90% percent confidence interval for the proportion of adults said that they would ask their siblings first in case they need an emergency loan is obtained below:

 

Statistics homework question answer, step 1, image 1

Use EXCEL Procedure for finding the critical value of z.

 

Follow the instruction to obtain the critical value of z:

 

  1. Open EXCEL
  2. Go to Formula bar.
  3. In formula bar enter the function as“=NORMINV”
  4. Enter the probability as 0.95
  5. Enter the mean as 0 and the Standard deviation as 1.
  6. Click enter

 

EXCEL output:

 

From the EXCEL output, the critical value of z at the 90% confidence level is 1.645.

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