Question

In: Statistics and Probability

Suppose we take a poll (random sample) of 3992 students classified as Juniors and find that...

Suppose we take a poll (random sample) of 3992 students classified as Juniors and find that 2818 of them believe that they will find a job immediately after graduation.

What is the 99% confidence interval for the proportion of Juniors who believe that they will, immediately, be employed after graduation.

  1. (0.694, 0.718)
  2. (0.687, 0.724)
  3. (0.699, 0.713)
  4. (0.692, 0.72)

Solutions

Expert Solution

GIVEN:

Sample size of students classified as juniors

Number of juniors who believe that they will find a job immediately after graduation

FORMULA USED:

The formula for 99% confidence interval for population proportion is,

where

is the sample proportion of juniors who believe that they will find a job immediately after graduation.

is the z critical value at 99% confidence level.

CRITICAL VALUE:

The z critical value at 99% confidence level is .

CALCULATION:

The sample proportion is given by,

The 99% confidence interval for proportion of Juniors who believe that they will, immediately, be employed after graduation is,

The correct answer is . Thus the 99% confidence interval for proportion of Juniors who believe that they will, immediately, be employed after graduation is .

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Suppose we take a poll (random sample) of 3907 students classified as Juniors and find that...
Suppose we take a poll (random sample) of 3907 students classified as Juniors and find that 2904 of them believe that they will find a job immediately after graduation. What is the 99% confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. (0.725, 0.761) (0.732, 0.755) (0.73, 0.757) (0.736, 0.75)
Suppose that during an unexpected snowstorm, Mr. Wong decided to take a random sample of students...
Suppose that during an unexpected snowstorm, Mr. Wong decided to take a random sample of students in his AP Statistics class to examine their arrival times, in minutes. He compared the difference between the students' arrival time with the time the class was supposed to begin. Mr. Wong asks you, his assistant, to use the information below to answer the following questions (negative value means that the student arrived BEFORE class began). Number of students 30 Mean -1.067 Q1 -24...
A random sample of 250 students at a university finds that these students take a mean...
A random sample of 250 students at a university finds that these students take a mean of 14.3 credit hours per quarter with a standard deviation of 1.5 credit hours. Estimate the mean credit hours taken by a student each quarter using a 98​% confidence interval.
A random sample of 250 students at a university finds that these students take a mean...
A random sample of 250 students at a university finds that these students take a mean of 15.7 credit hours per quarter with a standard deviation of 1.5 credit hours. Estimate the mean credit hours taken by a student each quarter using a 98​% confidence interval.
53% of people beleive in love at first sight. Suppose we take a random sample of...
53% of people beleive in love at first sight. Suppose we take a random sample of 200 people. What is the probability that 1 a ) Exactly 95 of them beleive in love at first sight 1 b ) 120 or more of them beleive in love at first sight 1 c) Fewer than 90 of them beleive in love at first sight
53% of people believe in love at first sight. Suppose we take a random sample of...
53% of people believe in love at first sight. Suppose we take a random sample of 550 people. What is the probability that: 1. Exactly 295 of them believe in love at first sight? 2. 300 or more of them believe in love at first sight? 3. Fewer than 250 of them believe in love at first sight?
Please answer question A, B, and C with the solution Suppose we take a random sample...
Please answer question A, B, and C with the solution Suppose we take a random sample of 30 companies in an industry of 200 companies. We calculate the sample mean of the ratio of cash flow to total debt for the prior year. We find that this ratio is 23 percent. Subsequently, we learn that the population cash flow to total debt ratio (taking into account of all 200 companies) is 26 percent. What is the explanation for the discrepancy...
Suppose you take a sample of 50 random people with COVID-19 and find that 30 of...
Suppose you take a sample of 50 random people with COVID-19 and find that 30 of them are asymptomatic (show no symptoms), .   Suppose you want to test FOR whether or not the percent of individuals with COVID-19 who are asymptomatic is greater than 50%. What is the null and alternative hypotheses for this test? What are the critical values for conducting the hypothesis test at the 10%, 5%, and 1% significance levels? What is the test statistic for the...
A public opinion poll surveyed a simple random sample of 1000 voters. Respondents were classified by...
A public opinion poll surveyed a simple random sample of 1000 voters. Respondents were classified by gender (male or female) and by voting preference (Republican, Democrat, or Independent). Results are shown in the contingency table below.                                                 VOTING PREFERENCES                                                 Rep        Dem      Ind         Row Total Male                                      350         075         25           450 Female                                 275         240         35           550 Column Total                     625         315         60           1000 Is there a gender gap? D3 the men's voting preferences differ significantly from the women's preferences? Use...
In a random sample of 62 college students we find that 45 of them eat out...
In a random sample of 62 college students we find that 45 of them eat out at least once a week. Someone tells me that 75% of college students eat out at least once a week. Run a hypothesis test to see if the true proportion of college students that eat out at least once a week is different than 75%
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT