Question

In: Statistics and Probability

A poll reported that only 375 out of a total of 1809 adults in a particular...

A poll reported that only 375 out of a total of 1809 adults in a particular region said they had a​ "great deal of​ confidence" or​"quite a lot of​ confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Complete parts​ (a) through​(d) below.

1. Find a 95% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public​ schools, and interpret this interval. (____,____) (3 decimal places)

2. We are Answer ____% confident that the population proportion of adults having a great deal or quite a lot of confidence in the public schools is between Answer ___ and ____.

3. Find an  80% confidence interval and interpret it. The 80% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools is Answer  (____,____) (Round 3 decimal places)

4. Find the width of each interval by subtracting the lower proportion from the upper​ proportion, and state which interval is wider.The width of the 95% confidence interval is (Answer) ____ and the width of the 80% confidence interval is (Answer) ____ The 95% interval is wider. ​(Round to three decimal places as​ needed.)

Solutions

Expert Solution


Related Solutions

A poll reported that only 593 out of a total of 1594 adults in a particular...
A poll reported that only 593 out of a total of 1594 adults in a particular region said they had a​ "great deal of​ confidence" or​ "quite a lot of​ confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Complete parts​ (a) through​ (d) below. a. Find a 95​% confidence interval for the proportion that express a great deal of confidence or quite a...
A poll reported that only 580 out of a total of 1649 adults in a particular...
A poll reported that only 580 out of a total of 1649 adults in a particular region said they had a​ "great deal of​ confidence" or​ "quite a lot of​ confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Complete parts​ (a) through​ (d) below. 1. Find a 95% confidence interval for the proportion that express a great deal of confidence or quite a...
A poll reported that only 344 out of a total of 1507 adults in a particular...
A poll reported that only 344 out of a total of 1507 adults in a particular region said they had a​ "great deal of​ confidence" or​ "quite a lot of​ confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Complete parts​ (a) through​ (d) below. a. Find a 95​% confidence interval for the proportion that express a great deal of confidence or quite a...
A poll reported that only 1283 out of a total of 1964 adults in a particular...
A poll reported that only 1283 out of a total of 1964 adults in a particular region said they had a​ "great deal of​ confidence" or​ "quite a lot of​ confidence" in the military. Assume the conditions for using the CLT are met. Complete parts​ (a) through​ c below. A. Find a 95​% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the​ military, and interpret this interval.Answer (____, ____)...
A poll of a random sample of 1500 adults reported that respondents slept an average of...
A poll of a random sample of 1500 adults reported that respondents slept an average of 6.5 hours on weekdays and 7.2 hours on​ weekends, and that 22​% of respondents got eight or more hours of sleep on​ weekdays, whereas 44​% got eight or more hours of sleep on weekends. Complete parts a and b below. a. To compare the means or the percentages using inferential​ methods, should you treat the samples on weekdays and weekends as independent samples or...
A newspaper reported on the results of an opinion poll in which adults were asked what...
A newspaper reported on the results of an opinion poll in which adults were asked what one thing they are most likely to do when they are home sick with a cold or the flu. In the​ survey, 60 ​% said that they are most likely to sleep and 20 ​% said that they would watch television. Although the sample size was not​ reported, typically opinion polls include approximately​ 1,000 randomly selected respondents.
According to a poll, 85% of California adults (429 out of 506 surveyed) feel that education...
According to a poll, 85% of California adults (429 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California. What is a point estimate for the true population proportion?
According to a poll, 78% of California adults (397 out of 506 surveyed) feel that education...
According to a poll, 78% of California adults (397 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California. What is a point estimate for the true population proportion?
A poll found that out of 723 randomly selected adults 315 said that, given the chance,...
A poll found that out of 723 randomly selected adults 315 said that, given the chance, they would travel to Mars. Estimate the true proportion of adults who would like to travel to Mars with 99% confidence.
In an earlier study, it was found that the total number of tourists (including adults only)...
In an earlier study, it was found that the total number of tourists (including adults only) arriving at the island are equally distributed among the four nationalities (BRITISH, GERMAN, FRENCH, ITALIANS). The new study indicated that that the total number of tourists (including adults only) arriving at the island are distributed among the four nationalities as follows: 26% BRITISH, 27 % GERMAN, 22% FRENCH, 25% ITALIANS i. State the null and the alternative Hypotheses in order to test if the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT