60% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 160 of the 280 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of

= 0.01?

For this study, we should use

The null and alternative hypotheses would be:

Ho:(please enter a decimal)

H1:(Please enter a decimal)

The test statistic=(please show your answer to 3 decimal places.)

The p-value =(Please show your answer to 4 decimal places.)

The p-value is

Based on this, we shouldthe null hypothesis.

Thus, the final conclusion is that ...

The data suggest the population proportion is not significantly smaller than 60% at

= 0.01, 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 60%.

The data suggest the populaton proportion is significantly smaller than 60% at

= 0.01, 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 smaller than 60%

The data suggest the population proportion is not significantly smaller than 60% at

= 0.01, 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 smaller than 60%.

Interpret the p-value in the context of the study.

If the population proportion of students who played intramural sports who received a degree within six years is 60% and if another 280 students who played intramural sports are surveyed then there would be a 16.46% chance fewer than 57% of the 280 students surveyed received a degree within six years.

If the sample proportion of students who played intramural sports who received a degree within six years is 57% and if another 280 such students are surveyed then there would be a 16.46% chance of concluding that fewer than 60% of all students who played intramural sports received a degree within six years.

There is a 60% chance of a Type I error.

There is a 16.46% chance that fewer than 60% of all students who played intramural sports graduate within six years.

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 60% and if another 280 students who played intramural sports are surveyed then there would be a 1% 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 smaller than 60%

There is a 1% 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 smaller than 60% and if another 280 students who played intramural sports are surveyed then there would be a 1% 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 60%.

There is a 1% chance that the proportion of all students who played intramural sports who received a degree within six years is smaller than 60%.