Answered: Is this enough evidence to show that a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A school reports that 81% of its graduates get jobs within one year. You take a random sample of 67 graduates, of whom 49 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 αα=0.025)

1. For this study, we should use (t-test, z-test)

1. The null and alternative hypotheses would be:
2. H0: (symbol) (symbol) _____ (please enter a decimal)

H1: (symbol) (symbol) _____ (Please enter a decimal)

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

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

The p-value is (symbol) αα

Based on this, we should (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 81% at αα = 0.025, so there is sufficient evidence to conclude that the percent of graduates get jobs within one year is different than 81%
- The sample data suggest that the population proportion is not significantly different than 81% at αα = 0.025, so there is not sufficient evidence to conclude that the percent of graduates get jobs within one year is different than 81%.

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