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Hey there, welcome to numerade.
00:03
We are asked to construct here a 99 .9 % confidence interval given the number of successes and the sample size.
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So our confidence interval equation is our confidence interval equals our proportion plus and minus our critical value, multiplied by the square root of proportion times one minus the proportion divided by n our sample size.
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So knowing that this is our equation here, we can plug in our values.
00:46
Confidence interval equals.
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So we're given the percentage, so we're going to convert it to a proportion with 0 .3533.
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So plus and minus our critical value based off our confidence, which should be around 3 .29.
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So we have 3 .29 multiplied by the square root of.
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So what we have here is the square root of our proportion, which is the 0 .353, 1 minus 0 .353...