Na poll to estimate presidential popularity, each person in a random sample of 1,000 voters was asked to agree with one of the following statements: the president is doing a good job. the president is doing a poor job. i have no opinion. a total of 560 respondents selected the first statement, indicating they thought the president was doing a good job. (a) construct a 95 percent confidence interval for the portion of respondents who feel the president is doing a good job.

(b) based on your interval in part, is it reasonable to conclude that a majority (half) of the population believes the president is doing a good job?

a) The 95 percent confidence interval for the portion of respondents who feel the president is doing a good job is (0.5292, 0.5908).

b) The lower end of the confidence interval is above 0.5, so yes, it is reasonable to conclude that a majority (half) of the population believes the president is doing a good job.

Step-by-step explanation:

The first step to solve this problem is building the confidence interval. If the lower end of the interval is above 0.5, it is reasonable to conclude that a majority of the population believes that the president is doing a good job.

In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval , we have the following confidence interval of proportions.

In which

Z is the zscore that has a pvalue of .

For this problem, we have that:

a)

A sample of 1000 voters was surveyed, and 560 feel that the president is doing a good job. This means that and .

We have , z is the value of Z that has a pvalue of = 0.975, so .

The lower limit of this interval is:

The upper limit of this interval is:

The 95 percent confidence interval for the portion of respondents who feel the president is doing a good job is (0.5292, 0.5908).

b) The lower end of the confidence interval is above 0.5, so yes, it is reasonable to conclude that a majority (half) of the population believes the president is doing a good job.

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.