An apple orchard farmer wants to know the true population proportion of all apples harvested at their farm which have the less valuable condition of being blemished, or in other words, are cider apples. This true population proportion is a parameter value represented by the symbol p. As a population parameter, this value can never be known with certainty. It can however, be estimated with varying levels of confidence. To estimate this parameter p, the farmer draws a simple random sample (SRS) of 524 apples from the orchard. Within this sample, the farmer finds that exactly 47 of the apples are cider apples. The farmer then computes a 96%-level confidence interval estimate for the parameter p. In percentage form, and rounded to four digits past the decimal point: What is the approximate value of the Lower Limit of this confidence interval? Include a percentage symbol at the end of your numerical answer (with no spaces).

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In percentage form, and rounded to four digits past the decimal point: What is the approximate value of the Upper Limit of this confidence interval?

Include a percentage symbol at the end of your numerical answer (with no spaces).

[Input Box]

In percentage form, and rounded to four digits past the decimal point: What is the approximate value of the Margin of Error for this confidence interval?

Include a percentage symbol at the end of your numerical answer (with no spaces).

[Input Box]

Suppose the farmer now wishes that they had instead built a confidence interval with a 99% confidence level, and a margin of error no greater than 2%.

To achieve these new specifications: The farmer intends to draw another SRS of apples in the future, and build another confidence interval.

What minimum sample size of apples will the farmer have to draw, in order to achieve these new confidence interval specifications?

(Note: Your answer should be a whole number here.)

[Input Box]
Transcribed Image Text:In percentage form, and rounded to four digits past the decimal point: What is the approximate value of the Upper Limit of this confidence interval? Include a percentage symbol at the end of your numerical answer (with no spaces). [Input Box] In percentage form, and rounded to four digits past the decimal point: What is the approximate value of the Margin of Error for this confidence interval? Include a percentage symbol at the end of your numerical answer (with no spaces). [Input Box] Suppose the farmer now wishes that they had instead built a confidence interval with a 99% confidence level, and a margin of error no greater than 2%. To achieve these new specifications: The farmer intends to draw another SRS of apples in the future, and build another confidence interval. What minimum sample size of apples will the farmer have to draw, in order to achieve these new confidence interval specifications? (Note: Your answer should be a whole number here.) [Input Box]
An apple orchard farmer wants to know the true population proportion of all apples harvested at their farm which have the less valuable condition of being blemished, or in other words, are cider apples.

This true population proportion is a parameter value represented by the symbol \( p \). As a population parameter, this value can never be known with certainty. It can, however, be estimated with varying levels of confidence.

To estimate this parameter \( p \), the farmer draws a simple random sample (SRS) of 524 apples from the orchard. Within this sample, the farmer finds that exactly 47 of the apples are cider apples.

The farmer then computes a 96%-level confidence interval estimate for the parameter \( p \).

In percentage form, and rounded to four digits past the decimal point: What is the approximate value of the Lower Limit of this confidence interval?

Include a percentage symbol at the end of your numerical answer (with no spaces).

[Text box for answer]
Transcribed Image Text:An apple orchard farmer wants to know the true population proportion of all apples harvested at their farm which have the less valuable condition of being blemished, or in other words, are cider apples. This true population proportion is a parameter value represented by the symbol \( p \). As a population parameter, this value can never be known with certainty. It can, however, be estimated with varying levels of confidence. To estimate this parameter \( p \), the farmer draws a simple random sample (SRS) of 524 apples from the orchard. Within this sample, the farmer finds that exactly 47 of the apples are cider apples. The farmer then computes a 96%-level confidence interval estimate for the parameter \( p \). In percentage form, and rounded to four digits past the decimal point: What is the approximate value of the Lower Limit of this confidence interval? Include a percentage symbol at the end of your numerical answer (with no spaces). [Text box for answer]
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