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Allushta [10]
1 year ago
12

In a random sample of 62 professional actors, it was found that 40 were extroverts. Please find the point estimate, 95% confiden

ce interval for p, and provide a brief explanation of your answers.
Mathematics
1 answer:
den301095 [7]1 year ago
3 0

The point Estimate is 0.645 , the confidence interval is (0.525 ,0.764).

<h3>What is Point Estimate ?</h3>

The point estimate is the proportion of success in the sample.

From the data given

p = 40/62

p = 0.645

The point Estimate is 0.645

(b) Confidence interval for true proportion is

\rm {p -Z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}  , p +Z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}

For 95 % Z = 1.96

p =0.645

1-p = 0.355

putting the values

\rm {0.645 -1.96 \sqrt{\dfrac{0.645\times0.355}{62}}  , {0.645 +1.96 \sqrt{\dfrac{0.645\times0.355}{62}} \\

(0.525 , 0.764)

Lower Limit = 0.525

Upper Limit = 0.764

To know more about Point Estimate

brainly.com/question/17514579

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Let's check all of the options :

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☐ Option C

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Hope I helped ! ツ

Have a wonderful day / night ! ♡

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<h3>What is Probability ?</h3>

Probability is defined as the study of likeliness of an event to happen.

It is given that

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