# Statistics : Confidence Interval and Z-Statistic

Not what you're looking for?

In the spring of 2002, residents of the United States were quite worried about the possibility of further terrorists attacks. To gauge the public's sentiment on this topic, the Gallup Poll asked 1002 U.S. adults the following question during May 20-22, 2002.

How likely is it that there will be further acts of terrorism in the United States over the next several weeks : very likely, somewhat likely, not too likely, or not at all likely?

Of the 1002 adults surveyed, 65% said that they thought it was very likely that there would be further acts of terrorism.

-------------------------------

What is the estimated proportion of all U.S. adults who believed that it was very likely that there would be further acts of terrorism in the United States over the next several weeks using a 95% confidence?

##### Purchase this Solution

##### Solution Summary

Confidence Intervals and Z-Statistics are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

##### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

I found this survey on the internet and found it to be interesting. I thought it could be a good discussion question as well.

In the spring of 2002, residents of the United States were quite worried about the possibility of further terrorists attacks. To gauge the public s sentiment on this topic, the Gallop Poll asked 1002 U.S. adults the following question during May 20-22, ...

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.