A newsgroup is interested in constructing a 90% confidence interval for the propor Americans who are in favor of a new Green initiative. Of the 559 randomly selecte surveyed, 396 were in favor of the initiative. Round answers to 4 decimal places w a. With 90% confidence the proportion of all Americans who favor the new Green between and b. If many groups of 559 randomly selected Americans were surveyed, then a diff confidence interval would be produced from each group. About percent of

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The study focuses on constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. The details and questions provided are as follows:

"A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 559 randomly selected Americans surveyed, 396 were in favor of the initiative. Round answers to 4 decimal places where possible."

**Question A:**
a. With 90% confidence, the proportion of all Americans who favor the new Green initiative is between ___ and ___.

**Question B:**
b. If many groups of 559 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About ___ percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about ___ percent will not contain the true population proportion.

**Instructions:**
- Provide the answers with four decimal places for accuracy where applicable.
- While constructing confidence intervals, it is crucial to understand what they imply about the population parameter being studied.
Transcribed Image Text:The study focuses on constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. The details and questions provided are as follows: "A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 559 randomly selected Americans surveyed, 396 were in favor of the initiative. Round answers to 4 decimal places where possible." **Question A:** a. With 90% confidence, the proportion of all Americans who favor the new Green initiative is between ___ and ___. **Question B:** b. If many groups of 559 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About ___ percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about ___ percent will not contain the true population proportion. **Instructions:** - Provide the answers with four decimal places for accuracy where applicable. - While constructing confidence intervals, it is crucial to understand what they imply about the population parameter being studied.
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