A school reports that 86% of its graduates get jobs within one year. You take a random sample of 62 graduates, of whom 56 got a job within one year. Is this enough evidence to show that a significantly different percent of graduates get jobs than advertised by the school? (Use =0.025)

1. For this study, we should use Select an answer Two Independent Proportions Comparison Two Independent Sample Means Comparison Given Statistics Hypothesis Test for a Population Mean Given Data Two Independent Sample Means Comparison Given Data Hypothesis Test for a Population Mean Given Statistics Hypothesis Test for a Population Proportion Chi-Square Test for Independence Confidence Interval for a Population Proportion Confidence Interval for a Population Mean Given Statistics Chi-Square Test for Goodness of Fit Confidence Interval for a Population Mean Given Data One-Way ANOVA Two Dependent Sample Means Comparison Given Data
2. The null and alternative hypotheses would be: H0H0: (? p 0) Select an answer (> < =) (please enter a decimal) H1H1: (? p) Select an answer (= > < ) (Please enter a decimal)
3. The test statistic = ________ (please show your answer to 3 decimal places.)
4. The p-value = ________ (Please show your answer to 4 decimal places.)
5. The p-value is (? >)
6. Based on this, we should Select an answer (accept, reject, fail to reject) the null hypothesis.
7. As such, the final conclusion is that ...
   1. The sample data suggest that the populaton proportion is significantly different than 86% at = 0.025, so there is sufficient evidence to conclude that the percent of graduates get jobs within one year is different than 86%
   2. The sample data suggest that the population proportion is not significantly different than 86% at = 0.025, so there is not sufficient evidence to conclude that the percent of graduates get jobs within one year is different than 86%.