The estimated percentage of Republicans who favor voting by mail in November 2020 is percent. The Standard Error for this estimate is percent, with a 95% margin of error of +/- percent. We can be 95% confident that in the population, Republicans support for mail in voting in November 2020 ranges from a lower limit of percent to an upper limit of percent.

The estimated percentage of Republicans who favor voting by mail in November 2020 is percent. The Standard Error for this estimate is percent, with a 95% margin of error of +/- percent. We can be 95% confident that in the population, Republicans support for mail in voting in November 2020 ranges from a lower limit of percent to an upper limit of percent.

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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

The following figure shows the results of a Gallup survey about Americans' support for voting by mail in November 2020. Provide the requested information, using the data in the figure.

**Most Americans Support Voting By Mail In November**

The graph illustrates the percentage of respondents who favor their state allowing voting by mail/absentee ballot in the 2020 presidential election, segmented by political affiliation and age.

**Political affiliation:**
- Democrat: 83%
- Independent: 68%
- Republican: 40%
- All Americans: 64%

**Age:**
- 18-29: 73%
- 30-49: 65%
- 50-64: 62%
- 65+: 55%

**Sample size:** n=1,016 U.S. adults (April 14-28, 2020)
**Source:** Gallup

The survey data suggests a higher level of support among Democrats and younger age groups for voting by mail.

**Provide answers in the requested format. When entering your answers, round all percentages to two decimal points.**

1. The estimated percentage of Republicans who favor voting by mail in November 2020 is ______ percent.

2. The Standard Error for this estimate is ______ percent, with a 95% margin of error of +/- ______ percent.

3. We can be 95% confident that in the population, Republicans support for mail in voting in November 2020 ranges from a lower limit of ______ percent to an upper limit of ______ percent.

4. The 99% margin of error for predicting the percentage of Republicans in the population who support voting by mail is +/- ______ percent.

5. We can be 99% confident that in the population, Republicans support for mail in voting in November 2020 ranges from a lower limit of ______ percent to an upper limit of ______ percent.

6. As the level of confidence increases, the confidence interval ______ (decreases/increases).

7. (True/False) ______. There is a 2.5% chance that Republicans support for voting by mail is actually higher than the upper limit of the 95% confidence interval you reported.

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