Several years ago, 45% of parents with children in grades K-12 were satisfied with the quality of education the students receive. A recent poll found that 463 of 1,175 parents with children in grades K-12 were satisfied with the quality of education the students receive. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. E Click the icon to view the Confidence Interval Critical Value table. What are the null and alternative hypotheses? versus H,: p Ho: p (Type integers or decimals. Do not round.) Find the 90% confidence interval. The lower bound is The upper bound is (Round to three decimal places as needed.) What is the correct conclusion? O A. Since the interval does not contain the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed. O B. Since the interval does not contain the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed. OC. Since the interval contains the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed. O D. Since the interval contains the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed. Confidence Interval Critical Values Confidence Interval Critical Values Level of Confidence Critical Value, za/2 0.90 or 90% 1.645 0.95 or 95% 1.96 0.98 or 98% 2.33 0.99 or 99% 2.575 Print Done
Several years ago, 45% of parents with children in grades K-12 were satisfied with the quality of education the students receive. A recent poll found that 463 of 1,175 parents with children in grades K-12 were satisfied with the quality of education the students receive. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. E Click the icon to view the Confidence Interval Critical Value table. What are the null and alternative hypotheses? versus H,: p Ho: p (Type integers or decimals. Do not round.) Find the 90% confidence interval. The lower bound is The upper bound is (Round to three decimal places as needed.) What is the correct conclusion? O A. Since the interval does not contain the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed. O B. Since the interval does not contain the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed. OC. Since the interval contains the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed. O D. Since the interval contains the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed. Confidence Interval Critical Values Confidence Interval Critical Values Level of Confidence Critical Value, za/2 0.90 or 90% 1.645 0.95 or 95% 1.96 0.98 or 98% 2.33 0.99 or 99% 2.575 Print Done
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![### Assessing Changes in Parental Satisfaction with K-12 Education
Several years ago, 45% of parents with children in grades K-12 were satisfied with the quality of education the students receive. A recent poll found that 463 out of 1,175 parents with children in grades K-12 were satisfied with the quality of education the students receive. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
#### Confidence Interval Calculation
**Null and Alternative Hypotheses:**
- Null Hypothesis (\(H_0\)): \( p = 0.45 \)
- Alternative Hypothesis (\(H_1\)): \( p \neq 0.45 \)
- (Type integers or decimals. Do not round.)
#### Finding the 90% Confidence Interval
1. **Lower Bound:**
- _______
2. **Upper Bound:**
- _______
- (Round to three decimal places as needed.)
#### Interpretation of Results
**Correct Conclusion:**
- \( \bigcirc \) **A**. Since the interval does not contain the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed.
- \( \bigcirc \) **B**. Since the interval does not contain the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed.
- \( \bigcirc \) **C**. Since the interval contains the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed.
- \( \bigcirc \) **D**. Since the interval contains the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed.
#### Critical Values Table
![Confidence Interval Critical Value Table]
- **Table Explanation:**
- The table provides the critical values for different levels of confidence:
- **90% Confidence**: Critical Value is \( z_{\alpha/2} = 1.645 \)
- **95% Confidence**: Critical Value is \( z_{\alpha/2} = 1.96 \)
- **98% Confidence**: Critical Value is \( z_{\alpha/2} = 2.33 \)
- **99% Confidence**: Critical Value is \( z](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a0802a2-9dd1-43c0-9b3f-3c3accbadbd6%2F1206b032-29c1-4e9a-bef9-7f2341d33480%2Fj5jwzy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Assessing Changes in Parental Satisfaction with K-12 Education
Several years ago, 45% of parents with children in grades K-12 were satisfied with the quality of education the students receive. A recent poll found that 463 out of 1,175 parents with children in grades K-12 were satisfied with the quality of education the students receive. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
#### Confidence Interval Calculation
**Null and Alternative Hypotheses:**
- Null Hypothesis (\(H_0\)): \( p = 0.45 \)
- Alternative Hypothesis (\(H_1\)): \( p \neq 0.45 \)
- (Type integers or decimals. Do not round.)
#### Finding the 90% Confidence Interval
1. **Lower Bound:**
- _______
2. **Upper Bound:**
- _______
- (Round to three decimal places as needed.)
#### Interpretation of Results
**Correct Conclusion:**
- \( \bigcirc \) **A**. Since the interval does not contain the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed.
- \( \bigcirc \) **B**. Since the interval does not contain the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed.
- \( \bigcirc \) **C**. Since the interval contains the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed.
- \( \bigcirc \) **D**. Since the interval contains the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed.
#### Critical Values Table
![Confidence Interval Critical Value Table]
- **Table Explanation:**
- The table provides the critical values for different levels of confidence:
- **90% Confidence**: Critical Value is \( z_{\alpha/2} = 1.645 \)
- **95% Confidence**: Critical Value is \( z_{\alpha/2} = 1.96 \)
- **98% Confidence**: Critical Value is \( z_{\alpha/2} = 2.33 \)
- **99% Confidence**: Critical Value is \( z
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