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Vesna [10]
3 years ago
8

In a survey of 1,532 former UF students, 84% said they were still in love with Tim Tebow. The survey's sampling error was 2%. Us

ing this information, construct a confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.
Mathematics
1 answer:
nalin [4]3 years ago
4 0

Answer:

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

Step-by-step explanation:

step 1:-

Given sample survey former UF students n = 1532

84% said they were still in love with Tim Tebow

p = 0.84

The survey sampling error

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

Given standard error of proportion = 2% =0.02

<u>Step 2</u>:-

The 99% of z- interval is 2.57

The 99% of confidence intervals are

p ± zₐ S.E     (since sampling error of proportion = \sqrt{\frac{pq}{n} }

(0.84 - 2.57X0.02 , 0.84 + 2.57X0.02)

on simplification , we get

(0.84 - 0.0514 , 0.84 + 0.0514)

(0.79 , 0.89)

<u>conclusion</u>:-

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

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