Question

57% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 171 of the 285 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of ?? = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? ? Select an answer ? (please enter a decimal) H1: ? ? Select an answer ? (Please enter a decimal) c. The test statistic ? ? = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? ? ?? f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 57% at ?? = 0.10, 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 57%. The data suggest the population proportion is not significantly larger than 57% at ?? = 0.10, 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 57%. The data suggest the population proportion is significantly larger than 57% at ?? = 0.10, 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 57% h. Interpret the p-value in the context of the study. There is a 15.32% chance that more than 57% of all students who played intramural sports received a degree within six years. There is a 15.32% chance of a Type I error. If the sample proportion of students who played intramural sports who received a degree within six years is 60% and if another 285 students who played intramural sports are surveyed then there would be a 15.32% chance of concluding that more than 57% 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 57% and if another 285 students who played intramural sports are surveyed then there would be a 15.32% chance that more than 60% of the 285 students surveyed received a degree within six years.

a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ? ? Select an answer ? (please enter a decimal)
H1: ? ? Select an answer ? (Please enter a decimal)

c. The test statistic ? ? = (please show your answer to 3 decimal places.)
d. The p-value = (Please show your answer to 4 decimal places.)
e. The p-value is ? ? ??
f. Based on this, we should Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
The data suggest the population proportion is not significantly larger than 57% at ?? = 0.10, 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 57%.
The data suggest the population proportion is not significantly larger than 57% at ?? = 0.10, 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 57%.
The data suggest the population proportion is significantly larger than 57% at ?? = 0.10, 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 57%
h. Interpret the p-value in the context of the study.
There is a 15.32% chance that more than 57% of all students who played intramural sports received a degree within six years.
There is a 15.32% chance of a Type I error.
If the sample proportion of students who played intramural sports who received a degree within six years is 60% and if another 285 students who played intramural sports are surveyed then there would be a 15.32% chance of concluding that more than 57% 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 57% and if another 285 students who played intramural sports are surveyed then there would be a 15.32% chance that more than 60% of the 285 students surveyed received a degree within six years.

57% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 171 of the 285 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of ?? = 0.10?

a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ? ? Select an answer ? (please enter a decimal)
H1: ? ? Select an answer ? (Please enter a decimal)

c. The test statistic ? ? = (please show your answer to 3 decimal places.)
d. The p-value = (Please show your answer to 4 decimal places.)
e. The p-value is ? ? ??
f. Based on this, we should Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
The data suggest the population proportion is not significantly larger than 57% at ?? = 0.10, 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 57%.
The data suggest the population proportion is not significantly larger than 57% at ?? = 0.10, 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 57%.
The data suggest the population proportion is significantly larger than 57% at ?? = 0.10, 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 57%
h. Interpret the p-value in the context of the study.
There is a 15.32% chance that more than 57% of all students who played intramural sports received a degree within six years.
There is a 15.32% chance of a Type I error.
If the sample proportion of students who played intramural sports who received a degree within six years is 60% and if another 285 students who played intramural sports are surveyed then there would be a 15.32% chance of concluding that more than 57% 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 57% and if another 285 students who played intramural sports are surveyed then there would be a 15.32% chance that more than 60% of the 285 students surveyed received a degree within six years.

Added by Wendy L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Madhur L

08/23/2023

Step 1

In this case, we want to test if the proportion of students who played intramural sports and received a degree within six years is significantly larger than 57%. H0: p <= 0.57 H1: p > 0.57 Show more…

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57% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 171 of the 285 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of ̑̑ = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? ▾ Select an answer ▾ (please enter a decimal) H1: ? ▾ Select an answer ▾ (Please enter a decimal) c. The test statistic ? ▾ = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? ▾ ̑̑ f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 57% at ̑̑ = 0.10, 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 57%. The data suggest the population proportion is not significantly larger than 57% at ̑̑ = 0.10, 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 57%. The data suggest the population proportion is significantly larger than 57% at ̑̑ = 0.10, 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 57% h. Interpret the p-value in the context of the study. There is a 15.32% chance that more than 57% of all students who played intramural sports received a degree within six years. There is a 15.32% chance of a Type I error. If the sample proportion of students who played intramural sports who received a degree within six years is 60% and if another 285 students who played intramural sports are surveyed then there would be a 15.32% chance of concluding that more than 57% 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 57% and if another 285 students who played intramural sports are surveyed then there would be a 15.32% chance that more than 60% of the 285 students surveyed received a degree within six years.