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marta [7]
4 years ago
11

Many people who bought Z-Game gaming systems over the holidays have complained that the systems they purchased were defective. I

n a sample of 1200 units sold, 18 units were defective. Determine the upper limit for the 95% confidence interval for the population proportion. Round your answer to three decimals.
Mathematics
1 answer:
Bas_tet [7]4 years ago
4 0

Answer:

The upper limit for the 95% confidence interval for the population proportion of defective gaming systems is 0.022

Step-by-step explanation:

Upper Limit for 95% Confidence Interval can be calculated using p+ME where

  • p is the sample proportion of defective gaming systems (\frac{18}{1200} = 0.015)
  • ME is the margin of error from the mean

and margin of error (ME) around the mean can be found using the formula

ME=\frac{z*\sqrt{p*(1-p)}}{\sqrt{N} } where

  • z is the statistic of 95% confidence level (1.96)
  • p is the sample proportion (\frac{18}{1200}=0.015
  • N is the sample size (1200)

Using the numbers we get:

ME=\frac{1.96*\sqrt{0.015*0.985}}{\sqrt{1200} } ≈ 0.007

Then upper limit for the population proportion is 0.015+0.007 =0.022

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Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up
Lunna [17]

Answer:

Consider the complete question is,

'Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up by 15 percent. Which of the following statements is correct?

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