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Hey there, welcome to numerate.
00:03
We're asked to construct a 95 % confidence interval for the population proportion, where the adults, i'm saying that they would take more vacations this year than last year.
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So our equation here is the confidence interval equals our proportion plus and minus our z critical value, multiplied by the square root of a proportion times 1 minus our proportion.
00:33
Proportion divided by our sample size n.
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So with this now, we need to find p first.
00:49
So let's go ahead and find p.
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So p equals our 195 states that will travel more this year, divided by our sample size of 500.
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We divide this out and see what we get here.
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And we get a proportion of 0 .39.
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Now with this proportion, we can plug it back into our equation.
01:31
So we will have our confidence interval equals proportion 0 .39...