A survey asked, "How important is it to you to buy products that are made in America?" of the 600 Americans surveyed, 150 responded, "It is not important." For each of the following levels of confidence, find the sample proportion and the margin of error (MOE) associated with the poll. (Give the answers to one decimal place, if needed.)
(a) An 85% level of confidence
Sample proportion is

Incorrect: Your answer is incorrect.
%
MOE =
%

(b) A 98% level of confidence
Sample proportion is

Incorrect: Your answer is incorrect.
%
MOE =

Incorrect: Your answer is incorrect.
%

Let's solve each part of the problem step-by-step.

### Given Information:
- Total sample size (\( n \)) = 600
- Number of people who responded "It is not important" = 150
- Confidence levels: 85% and 98%

### 1. Sample Proportion
The sample proportion (\( \hat{p} \)) is calculated as:
\[
\hat{p} = \frac{\text{Number of people who responded "It is not important"}}{\text{Total sample size}} = \frac{150}{600} = 0.25
\]

So, the sample proportion is:
\[
\hat{p} = 0.25 \quad \text{or} \quad 25\%
\]

### 2. Margin of Error (MOE)
The formula for the Margin of Error (MOE) is:
\[
\text{MOE} = Z \times \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}
\]

Where:
- \( Z \) is the Z-score corresponding to the given confidence level.
- \( \hat{p} \) is the sample proportion.
- \( n \) is the sample size.

#### (a) 85% Level of Confidence
- For an 85% confidence level, the corresponding Z-score is approximately 1.44.

Substitute \( \hat{p} = 0.25 \), \( n = 600 \), and \( Z = 1.44 \) into the MOE formula:
\[
\text{MOE} = 1.44 \times \sqrt{\frac{0.25 \times 0.75}{600}}
\]

Let's calculate this value.

#### (b) 98% Level of Confidence
- For a 98% confidence level, the corresponding Z-score is approximately 2.33.

Substitute \( \hat{p} = 0.25 \), \( n = 600 \), and \( Z = 2.33 \) into the MOE formula:
\[
\text{MOE} = 2.33 \times \sqrt{\frac{0.25 \times 0.75}{600}}
\]

Now let's calculate both the MOEs step-by-step.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you'd like, I can guide you through the calculations manually step-by-step or you can resubmit the request. Let me know how you'd like to proceed!

A survey asked, 'How important is it to you to buy products that are made in America?' Of the 600 Americans surveyed, 150 responded, 'It is not important.' For each of the following levels of confidence, find the sample proportion and the margin of error (MOE) associated with the poll. (Give the answers to one decimal place, if needed.) (a) An 85% level of confidence Sample proportion is Incorrect: Your answer is incorrect. % MOE = % (b) A 98% level of confidence Sample proportion is Incorrect: Your answer is incorrect. % MOE = Incorrect: Your answer is incorrect. %

Learn how to calculate the sample proportion and margin of error for different confidence levels, including 85% and 98%, from a survey asking Americans about the importance of buying products made in America. This problem involves statistical concepts such as confidence intervals, sample proportion, and margin of error, using a sample of 600 respondents.

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