## Text Transcription for Educational Website:### Problem 5In a random sample of 400 college students, 16 had perfect attendance. Find the 95% confidence interval for the proportion of students with perfect attendance. Interpret the confidence interval.---### Problem 6It is believed about 71% of adults in Minnesota are fully vaccinated. A researcher wants to find the actual proportion of fully vaccinated adults in Minnesota with a 98% confidence interval. Estimate the sample size needed so that the margin of error does not exceed 2%.---### Graph/Diagram Explanation:There are two small bell curve diagrams next to problems 5 and 6, likely indicating a normal distribution associated with the confidence intervals for each problem. The diagrams suggest that statistical methods reliant on normal distribution assumptions (such as z-scores) will be applied to calculate the confidence intervals and determine sample sizes.

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Description: ## Text Transcription for Educational Website:### Problem 5In a random sample of 400 college students, 16 had perfect attendance. Find the 95% confidence interval for the proportion of students with perfect attendance. Interpret the confidence inter

Answered: 5. In a random sample of 400 college…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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## Text Transcription for Educational Website:

### Problem 5

In a random sample of 400 college students, 16 had perfect attendance. Find the 95% confidence interval for the proportion of students with perfect attendance. Interpret the confidence interval.

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### Problem 6

It is believed about 71% of adults in Minnesota are fully vaccinated. A researcher wants to find the actual proportion of fully vaccinated adults in Minnesota with a 98% confidence interval. Estimate the sample size needed so that the margin of error does not exceed 2%.

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### Graph/Diagram Explanation:

There are two small bell curve diagrams next to problems 5 and 6, likely indicating a normal distribution associated with the confidence intervals for each problem. The diagrams suggest that statistical methods reliant on normal distribution assumptions (such as z-scores) will be applied to calculate the confidence intervals and determine sample sizes.

Expert Solution

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Since you have asked multiple question, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question.

A random sample of 400 college students were considered in which 16 college students had perfect attendance. That is, $n = 400, x = 16$ .

The sample proportion of students with perfect attendance is,

$\begin{array}{rcl} \hat{p} & = & \frac{x}{n} \\ = & \frac{16}{400} \\ = & 0.04 \end{array}$