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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 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)
- 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
- 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)
- 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 should Select an answer (accept, reject, fail to reject) the null hypothesis.
- As such, the final conclusion is that ...
- 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%
- 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%.
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