In a poll 1040 of 2260 respondents said they would prefer to live somewhere else. Confirm...

In a poll 1040 of 2260 respondents said they would prefer to live somewhere else. Confirm the distribution for p-hat is approximately normal and find a 95% confidence interval for the proportion of people who prefer to live somewhere else.

Expert Solution

Sample proportion = 1040 / 2260 = 0.460

n * = 2260 * 0.460 = 1040 >= 10

n ( 1 - ) = 2260 * ( 1 - 0.460) = 1220.4 >= 10

Since n >= 10 and n(1-) >=10 , distribution of is approximately normal.

95% confidence interval for p is

- Z * sqrt ( (1-) / n) < p < + Z * sqrt ( (1-) / n)

0.460 - 1.96 * sqrt( 0.46 * ( 1 - 0.46) / 2260) < p < 0.460 + 1.96 * sqrt( 0.46 * ( 1 - 0.46) / 2260)

0.439 < p < 0.481

95% CI is ( 0.439 , 0.481 )

orchestra answered 1 year ago

Do you live in Central Florida or are you somewhere else during the pandemic? Are you...

Do you live in Central Florida or are you somewhere else during the pandemic? Are you working at the moment? Do you have healthcare experience to share? What are your career aspirations?

In a poll conducted by the General Social Survey, 79% of respondents said that their jobs...

In a poll conducted by the General Social Survey, 79% of respondents said that their jobs were sometimes or always stressful. Two hundred workers are chosen at random. Use the TI-84 Plus calculator as needed. Round your answer to at least four decimal places. (a) Approximate the probability that 165 or fewer workers find their jobs stressful. (b) Approximate the probability that more than 158 workers find their jobs stressful. (c) Approximate the probability that the number of workers who...

Stress at work: In a poll about work, 84% of respondents said that their jobs were...

Stress at work: In a poll about work, 84% of respondents said that their jobs were sometimes or always stressful. Twelve workers are chosen at random. Round the answers to four decimal places. (a) What is the probability that exactly 11 of them find their jobs stressful? (b) What is the probability that more than 9 find their jobs stressful? (c) What is the probability that fewer than 6 find their jobs stressful? (d) Would it be unusual if fewer...

3. In a Harris poll of 2036 adults, 40% said that they prefer to get their...

3. In a Harris poll of 2036 adults, 40% said that they prefer to get their news online. a. Construct a 95% confidence interval estimate of the percentage of all adults who say that they prefer to get their news online. b. Can we safely say that fewer than 50% of adults prefer to get their news online?

A poll surveyed 341 video gamers, and 95 of them said they prefer playing games on...

A poll surveyed 341 video gamers, and 95 of them said they prefer playing games on a console, rather than a computer or hand-held device. An executive at a game console manufacturing company claims that the proportion of gamer who prefer consoles differs from 29%. Does the poll provide convincing evidence that the claim is true? Use the a= 0.05 level of significance and the P- method with the TI -84 Calculator.

A poll surveyed 341 video gamers, and 99 of them said that they prefer playing games...

A poll surveyed 341 video gamers, and 99 of them said that they prefer playing games on a console, rather than a computer or hand-held device. An executive at a game console manufacturing company claims that the proportion of gamers who prefer consoles differs from 28%. Does the poll provide convincing evidence that the claim is true? Use the =α0.01 level of significance and the P-value method.

A survey asked respondents if they would rather live in a place with a slower pace...

A survey asked respondents if they would rather live in a place with a slower pace of life or a place with a faster pace of life. The survey also asked the respondent's gender. Consider the following sample data. Preferred Pace of Life Gender Male Female Slower 230 218 No Preference 22 26 Faster 88 46 (a) Is the preferred pace of life independent of gender? Conduct a hypothesis test using a 0.05 level of significance. State the null and...

A Pew Research Center survey asked respondents if they would rather live in a place with...

A Pew Research Center survey asked respondents if they would rather live in a place with a slower pace of life or a place with a faster pace of life. The survey also asked the respondent’s gender. Consider the following sample data. Gender Preferred Pace of Life Male Female Slower 232 218 No Preference 19 25 Faster 89 47 a. Is the preferred pace of life independent of gender? Using a level of significance, what is the -value? Compute the value...

All else being equal, would you prefer to work in a tall or flat organization? Why?...

All else being equal, would you prefer to work in a tall or flat organization? Why? Which one do you think is best: a narrow span of control, or a wide span of control? How does the concept of span of control relate to tall/flat organizations? Justify your reasoning.

One Way ANOVA The “Award” variable represents whether the student said that they would prefer to...

One Way ANOVA The “Award” variable represents whether the student said that they would prefer to win an Academy Award, Nobel Prize, or Olympic Medal. The “SAT” variable is the students’ total SAT score (Verbal + Math). We want to compare the SAT scores for the three Award categories. Remember to include all relevant output that supports your answers. And, remember to clearly identify your final answer from any output used. A. Use Minitab Express to compute the mean and...

Question