We would like to know: "What percentage of college students drink alcohol every day?" In a...

We would like to know: "What percentage of college students drink alcohol every day?" In a random sample of 500 students, 75 said they drink alcohol every day. Use the data to construct a 95% confidence interval to answer to the question. You MUST show your work to receive full credit.

Solutions

Expert Solution

Solution :

Given that,

n = 500

x = 75

Point estimate = sample proportion = = x / n = 0.15

1 - = 0.85

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z_/2 = Z_0.025 = 1.96

Margin of error = E = Z_{/ 2} * $\sqrt$ (( * (1 - )) / n)

= 1.96 * ( $\sqrt$ ((0.15 * 0.85) / 500)

= 0.031

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.15 - 0.031 < p < 0.15 + 0.031

0.119 < p < 0.181

( 0.119 , 0.181 )

orchestra answered 1 year ago

Next > < Previous

Related Solutions

3. We would like to know whether, on average, students learn better in a self-paced or...

3. We would like to know whether, on average, students learn better in a self-paced or in an instructor-paced computer learning environment. We randomly assigned 40 BL131 students to self-paced sessions and a different 40 students to an instructor-paced sessions for one unit and recorded the exam scores for that unit. The two-sided p-value for the comparison was 0.01. alpha = 0.05. A) State your conclusion in context and say why you reached that conclusion. We would like to know...

A pollster would like to survey 500 students to determine the percentage that would vote for...

A pollster would like to survey 500 students to determine the percentage that would vote for Ben Carson. If the pollster surveyed 500 students who worked directly with Carson will the results be meaningful to depict the thinking of the entire US population of students? Answer yes or no with explanation. Why was Marilyn Vos Savant's calculation of having breast cancer given a positive mammogram test flawed? A. Hubble telescope sees a dime sized view of the universe which represents...

10% of all college students volunteer their time. Is the percentage of college students who are...

10% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 339 randomly selected students who receive financial aid, 17 of them volunteered their time. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? p...

17% of all college students volunteer their time. Is the percentage of college students who are...

17% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 329 randomly selected students who receive financial aid, 39 of them volunteered their time. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? μ...

10% of all college students volunteer their time. Is the percentage of college students who are...

10% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 322 randomly selected students who receive financial aid, 26 of them volunteered their time. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ...

_ is the alcohol we drink. It is created through a process of _______. Binge drinking...

_____________________ is the alcohol we drink. It is created through a process of ___________________________. Binge drinking is defined by consuming more than ___________ drinks for men and __________ drinks for women at one time. There is good evidence that alcohol acts on the ________-_______________ receptors. There is also evidence that it impacts _________________ and __________________ activity. BAC stands for ______________ ___________________ _________________ and can be measured practically and precisely through _________________ _____________________. Alcohol can have _______________-______________________ to other CNS suppressants....

A research center estimates that no more than 30% of college students eat breakfast every day....

A research center estimates that no more than 30% of college students eat breakfast every day. In a random sample of 250 college students say, half of the sample say they eat breakfast every day. At α=0.05, is there enough evidence to reject the researcher's claim?

[Understanding of hypothesis testing] The College of Engineering would like to know if the mean incoming...

[Understanding of hypothesis testing] The College of Engineering would like to know if the mean incoming freshman ACT (America College Test) score for 2018 is statistically different than the mean ACT score across the country. *State the null (H0) and alternative (H1) statistical hypotheses to address this question. *If the College wants to be 95% confident in any conclusion, what is the value of the significance criterion? *If the College expects a 90% likelihood of detecting a difference among means,...

College administrators want to know if students would be willing to pay a new fee if...

College administrators want to know if students would be willing to pay a new fee if most of it would be budgeted for Student Activities. A random sample of 632 students resulted in 516 that would be willing to pay the new fee. Construct a 90% Confidence Interval estimate for the proportion of students willing to pay the new fee.

The state of Oregon would like to test whether the average GPA of college students is...

The state of Oregon would like to test whether the average GPA of college students is different than 3.2 or not for scholarship purposes. They take a random sample of 1000 college students in Oregon. Here is the summary statistics. Sample mean, x ¯ 3.18 Sample size, n 10,000 Sample standard deviation, s 0.46 Refer to the information in the previous problem. Suppose we test like to test the hypotheses, H0 : μ = 3.2 vs. Ha: μ ≠ 3.2 with a...

Subjects