Need help solving the rest of this problem. Microsoft Word -...3D56% of students entering four-year colleges receive a degree within six years. Is this percent larger than forstudents who play intramural sports? 170 of the 278 students who played intramural sports received adegree within six years. What can be concluded at the level of significance of a = 0.10?F2a. For this study, we should use [z-test for a population proportionb. The null and alternative hypotheses would be:Ho: p=v 0.56(please enter a decimal)H₁: pv(Please enter a decimal)c. The test statistic zd. The p-value =e. The p-value is ? af. Based on this, we shouldg. Thus, the final conclusion is that ...#3✓0.56= 1.730(Please show your answer to 4 decimal places.)(please show your answer to 3 decimal places.)O The data suggest the populaton proportion is significantly larger than 56% at a = 0.10, sothere is sufficient evidence to conclude that the population proportion of students who playedintramural sports who received a degree within six years is larger than 56%O The data suggest the population proportion is not significantly larger than 56% at a = 0.10, sothere is sufficient evidence to conclude that the population proportion of students who playedintramural sports who received a degree within six years is equal to 56%.O The data suggest the population proportion is not significantly larger than 56% at a = 0.10, sothere is not sufficient evidence to conclude that the population proportion of students whoplayed intramural sports who received a degree within six years is larger than 56%.h. Interpret the p-value in the context of the study.Select an answer the null hypothesis.O There is a 4.18% chance that more than 56% of all students who played intramural sportsreceived a degree within six years.80F3O If the sample proportion of students who played intramural sports who received a degreewithin six years is 61% and if another 278 students who played intramural sports are surveyedthen there would be a 4.18% chance of concluding that more than 56% of all students whoplayed intramural sports received a degree within six years.O There is a 4.18% chance of a Type I error.O If the population proportion of students who played intramural sports who received a degreewithin six years is 56% and if another 278 students who played intramural sports are surveyedthen there would be a 4.18% chance that more than 61% of the 278 students surveyed receiveda degree within six yearsi. Interpret the level of significance in the context of the study.$54O If the population proportion of students who played intramural sports who received a degreewithin six years in 56% and if another 270 students who played intramural coorte are curvesF4%5F5A6F6&78JAF7*8DILF8DDF9

Question

Need help solving the rest of this problem. Microsoft Word -...3D56% of students entering four-year colleges receive a degree within six years. Is this percent larger than forstudents who play intramural sports? 170 of the 278 students who played intramural sports received adegree within six years. What can be concluded at the level of significance of a = 0.10?F2a. For this study, we should use [z-test for a population proportionb. The null and alternative hypotheses would be:Ho: p=v 0.56(please enter a decimal)H₁: pv>(Please enter a decimal)c. The test statistic zd. The p-value =e. The p-value is ? af. Based on this, we shouldg. Thus, the final conclusion is that ...#3✓0.56= 1.730(Please show your answer to 4 decimal places.)(please show your answer to 3 decimal places.)O The data suggest the populaton proportion is significantly larger than 56% at a = 0.10, sothere is sufficient evidence to conclude that the population proportion of students who playedintramural sports who received a degree within six years is larger than 56%O The data suggest the population proportion is not significantly larger than 56% at a = 0.10, sothere is sufficient evidence to conclude that the population proportion of students who playedintramural sports who received a degree within six years is equal to 56%.O The data suggest the population proportion is not significantly larger than 56% at a = 0.10, sothere is not sufficient evidence to conclude that the population proportion of students whoplayed intramural sports who received a degree within six years is larger than 56%.h. Interpret the p-value in the context of the study.Select an answer the null hypothesis.O There is a 4.18% chance that more than 56% of all students who played intramural sportsreceived a degree within six years.80F3O If the sample proportion of students who played intramural sports who received a degreewithin six years is 61% and if another 278 students who played intramural sports are surveyedthen there would be a 4.18% chance of concluding that more than 56% of all students whoplayed intramural sports received a degree within six years.O There is a 4.18% chance of a Type I error.O If the population proportion of students who played intramural sports who received a degreewithin six years is 56% and if another 278 students who played intramural sports are surveyedthen there would be a 4.18% chance that more than 61% of the 278 students surveyed receiveda degree within six yearsi. Interpret the level of significance in the context of the study.$54O If the population proportion of students who played intramural sports who received a degreewithin six years in 56% and if another 270 students who played intramural coorte are curvesF4%5F5A6F6&78JAF7*8DILF8DDF9

Accepted Answer

a. For the given scenario, z-test for a population proportion should be used.