Question

In: Statistics and Probability

50% of students entering four-year colleges receive a degree within six years. Is this percent larger...

50% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 118 of the 218 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05?

  1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
  2. The null and alternative hypotheses would be:
    Ho: ? p μ  Select an answer > ≠ < =   (please enter a decimal)   
    H1: ? p μ  Select an answer = < ≠ >   (Please enter a decimal)
  1. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is ? ≤ >  αα
  4. Based on this, we should Select an answer reject fail to reject accept  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the populaton proportion is significantly larger than 50% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 50%
    • The data suggest the population proportion is not significantly larger than 50% at αα = 0.05, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 50%.
    • The data suggest the population proportion is not significantly larger than 50% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 50%.
  6. Interpret the p-value in the context of the study.
    • There is a 11.14% chance that more than 50% of all students who played intramural sports received a degree within six years.
    • If the sample proportion of students who played intramural sports who received a degree within six years is 54% and if another 218 students who played intramural sports are surveyed then there would be a 11.14% chance of concluding that more than 50% of all students who played intramural sports received a degree within six years.
    • If the population proportion of students who played intramural sports who received a degree within six years is 50% and if another 218 students who played intramural sports are surveyed then there would be a 11.14% chance that more than 54% of the 218 students surveyed received a degree within six years
    • There is a 11.14% chance of a Type I error.
  7. Interpret the level of significance in the context of the study.
    • If the population proportion of students who played intramural sports who received a degree within six years is 50% and if another 218 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is larger than 50%
    • There is a 5% chance that the proportion of all students who played intramural sports who received a degree within six years is larger than 50%.
    • There is a 5% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth.
    • If the population proportion of students who played intramural sports who received a degree within six years is larger than 50% and if another 218 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is equal to 50%.

Hint:
Help
Helpful Videos: Calculations [+]   Setup [+]   Interpretations [+]

Submit Question

Solutions

Expert Solution


Related Solutions

13 50% of students entering four-year colleges receive a degree within six years. Is this percent...
13 50% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 146 of the 256 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? 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: Ho: ?...
51% of students entering four-year colleges receive a degree within six years. Is this percent different...
51% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 120 of the 230 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? 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: Ho: ? μ...
51% of students entering four-year colleges receive a degree within six years. Is this percent smaller...
51% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 123 of the 292 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.01? 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: Ho: ? p...
Random samples of students at 118 four-year colleges were interviewed in 1999 and 2008. Of the...
Random samples of students at 118 four-year colleges were interviewed in 1999 and 2008. Of the students who reported drinking alcohol, the percentage who reported bingeing at least three times in the last two weeks was 139 of 336 surveyed in 1999 and 181 of 842 surveyed in 2008. Estimate the difference in proportions between 2008 and 1999. What is the standard error for this difference? What is the 95% confidence interval for this difference? Does this indicate a difference...
In a state, 50,000 students graduated from four-year not for profit colleges in 2019. Out of...
In a state, 50,000 students graduated from four-year not for profit colleges in 2019. Out of these 50,000 graduates, 20,000 students graduated from private colleges, and 30,000 students graduated from public colleges. You have selected a stratified sample from the population of 2019 graduates in this state with graduates from private and public colleges as the two strata. For each graduate in your sample, you recorded how much student debt, if any, the graduate carried at graduation. The results are...
Random samples of students at 123 four-year colleges were interviewed several times since 1991. Of the...
Random samples of students at 123 four-year colleges were interviewed several times since 1991. Of the students who reported drinking alcohol, the percentage who reported drinking daily was 32.2​% of 13,431 students in 1991 and 47.7% of 8507 students in 2003. a. Estimate the difference between the proportions in 2003 and 1991​, and interpret. b. Find the standard error for this difference. c. Construct and interpret a 99​% confidence interval to estimate the true change. d. State the assumptions for...
You are promised $10,000 a year for six years after which you will receive $5,000 a...
You are promised $10,000 a year for six years after which you will receive $5,000 a year for six years. If you can earn 8 percent annually, what is the present value of this stream of payments? Show how to solve in Excel, Step-By-Step
One measure of student success for colleges and universities is the percent of admitted students who...
One measure of student success for colleges and universities is the percent of admitted students who graduate. Studies indicate that a key issue in retaining students is their performance in so-called gateway courses. These are courses that serve as prerequisites for other key courses that are essential for student success. One measure of student performance in these courses is the DFW rate, the percent of students who receive grades of D, F, or W. A major project was undertaken to...
Suppose you are going to receive $12,700 per year for six years. The appropriate interest rate...
Suppose you are going to receive $12,700 per year for six years. The appropriate interest rate is 7.6 percent. What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due? Suppose you plan to invest the payments for six years. What is the future value if the payments are an ordinary annuity? Suppose you plan to invest the payments for six...
Suppose you are going to receive $14,400 per year for six years. The appropriate interest rate...
Suppose you are going to receive $14,400 per year for six years. The appropriate interest rate is 9.5 percent. a. What is the present value of the payments if they are in the form of an ordinary annuity? b. What is the present value if the payments are an annuity due? Suppose you plan to invest the payments for six years. c. What is the future value if the payments are an ordinary annuity? d. What is the future value...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT