Problem

Use the sample data and confidence level given below to complete parts (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, $n=937$ and $x=513$ who said "yes." Use a $99 \%$ confidence level.
Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)

Answer

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Answer

Final Answer: The best point estimate of the population proportion p is \(\boxed{0.547}\).

Steps

Step 1 :Given that the total number of people polled (n) is 937 and the number of people who said 'yes' (x) is 513.

Step 2 :The best point estimate of the population proportion p is given by the formula \(p = \frac{x}{n}\), where x is the number of successes (in this case, the number of people who said 'yes') and n is the total number of trials (in this case, the total number of people polled).

Step 3 :Substitute the given values into the formula: \(p = \frac{513}{937} = 0.5474919957310566\).

Step 4 :Round the result to three decimal places: \(p = 0.547\).

Step 5 :Final Answer: The best point estimate of the population proportion p is \(\boxed{0.547}\).

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