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Will, an art student, randomly sampled oil paintings in a museum. He wanted to find out how many oil paintings in the museum contained the color ultramarine blue. The proportion of paintings that were created using the color ultramarine blue was 0.17, with a margin of error of 0.02. Construct a confidence interval for the proportion of oil paintings that contained ultramarine blue.

Answer :

okpalawalter8

Answer:

The confidence interval is [tex]0.15 < p < 0.19[/tex]

Step-by-step explanation:

From the question we are told that

  The sample proportion is  [tex]\^ p = 0.17[/tex]

  The margin of error is [tex]E = 0.02[/tex]

Generally the confidence interval  for the proportion of oil paintings that contained ultramarine blue is mathematically represented as

       [tex]\^ p - E < p < \^ p + E[/tex]

=>   [tex]0.17 - 0.02 < p < 0.17 + 0.02[/tex]

=>   [tex]0.15 < p < 0.19[/tex]

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