Questions: For the given confidence level and values of x and n, find the following. x=45, n=95, confidence level 98 % Part: 0 / 3 Part 1 of 3 (a) Find the point estimate. Round the answers to at least four decimal places, if necessary. The point estimate for the given data is .

For the given confidence level and values of x and n, find the following. x=45, n=95, confidence level 98 % Part: 0 / 3 Part 1 of 3 (a) Find the point estimate. Round the answers to at least four decimal places, if necessary. The point estimate for the given data is .
Transcript text: For the given confidence level and values of $x$ and $n$, find the following. \[ x=45, n=95, \text { confidence level } 98 \% \] Part: $0 / 3$ Part 1 of 3 (a) Find the point estimate. Round the answers to at least four decimal places, if necessary. The point estimate for the given data is $\square$ .
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Solution

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Solution Steps

Step 1: Calculate the Point Estimate

The point estimate for a proportion is calculated using the formula:

\[ \hat{p} = \frac{x}{n} \]

where:

  • \( x = 45 \) (the number of successes),
  • \( n = 95 \) (the total number of trials).

Substituting the values:

\[ \hat{p} = \frac{45}{95} \approx 0.4737 \]

Final Answer

The point estimate for the given data is \(\boxed{0.4737}\).

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