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expeople1 [14]
3 years ago
5

Mr. Starnes wondered what proportion of Katy Perry's Twitter followers are

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer and Step-by-step explanation:

To calculate a confidence interval for a proportion:

1) Determine the proportion

p=\frac{308}{500}

p = 0.616

2) A 90% confidence interval has z-score that is 1.645.

3) Calculate margin of error

ME=\sqrt{\frac{p(1-p)}{n} }

where

n is the sample size

So

ME=\sqrt{\frac{0.616(1-0.616)}{500} }

ME=\sqrt{\frac{0.616(0.384)}{500} }

ME = 0.02175

Then the interval is given by

p ± z(ME)

0.62 ± 1.645(0.02175)

0.62 ± 0.035

The interval will be

0.585 < p < 0.655

What this means is that we are 90% confident that the true proportion of Katy Perry's Twitter female followers is between 0.585 and 0.655.

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