Questions: Question 12 of 17 (2 points) Question Attempt: 1 of Unlimited 1 2 3 4 5 6 7 8 9 Internet service: An Internet service provider sampled 545 customers, and finds that 65 of them experienced an interruption in high-speed service during the previous month. Part: 0 / 3 Part 1 of 3 (a) Find a point estimate for the population proportion of all customers who experienced an interruption. Round the answer to at least three decimal places. The point estimate for the population proportion of all customers who experienced an interruption is .

Question 12 of 17 (2 points) Question Attempt: 1 of Unlimited 1 2 3 4 5 6 7 8 9 Internet service: An Internet service provider sampled 545 customers, and finds that 65 of them experienced an interruption in high-speed service during the previous month. Part: 0 / 3 Part 1 of 3 (a) Find a point estimate for the population proportion of all customers who experienced an interruption. Round the answer to at least three decimal places. The point estimate for the population proportion of all customers who experienced an interruption is .
Transcript text: Question 12 of 17 (2 points) | Question Attempt: 1 of Unlimited $\checkmark 1$ $\checkmark 2$ $\checkmark 3$ $\checkmark 4$ 5 6 $\checkmark 7$ $\checkmark 8$ $\checkmark 9$ Internet service: An Internet service provider sampled 545 customers, and finds that 65 of them experienced an interruption in high-speed service during the previous month. Part: $0 / 3$ $\square$ Part 1 of 3 (a) Find a point estimate for the population proportion of all customers who experienced an interruption. Round the answer to at least three decimal places. The point estimate for the population proportion of all customers who experienced an interruption is $\square$ .
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Solution

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Solution Steps

Step 1: Calculate the Point Estimate

To find the point estimate for the population proportion of all customers who experienced an interruption in high-speed service, we use the formula for the sample proportion:

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

where:

  • \( x = 65 \) (the number of customers who experienced an interruption)
  • \( n = 545 \) (the total number of customers sampled)

Substituting the values, we have:

\[ \hat{p} = \frac{65}{545} \approx 0.119 \]

Step 2: Round the Result

The point estimate \( \hat{p} \) is rounded to three decimal places:

\[ \hat{p} \approx 0.119 \]

Final Answer

The point estimate for the population proportion of all customers who experienced an interruption is

\(\boxed{0.119}\).

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