A school reports that 70% of its graduates get jobs within one year. You take a random sample of 86 graduates, of whom 56 got a job within one year. Is this enough evidence to show that a significantly smaller percent of graduates get jobs than advertised by the school? (Use αα=0.05) For this study, we should use Select an answer 2-SampTTest TInterval 1-PropZTest T-Test ANOVA 1-PropZInt χ²-Test 2-PropZTest χ²GOF-Test 2-PropZInt 2-SampTInt The null and alternative hypotheses would be: H0H0: ? p μ Select an answer < > ≠ = (please enter a decimal) H1H1: ? p μ 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 ? > ≤ αα 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 population proportion is not significantly smaller than 70% at αα = 0.05, so there is not sufficient evidence to conclude that the percent of graduates get jobs within one year is smaller than 70%. The sample data suggest that the populaton proportion is significantly smaller than 70% at αα = 0.05, so there is sufficient evidence to conclude that the percent of graduates get jobs within one year is smaller than 70%

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Description: A school reports that 70% of its graduates get jobs within one year. You take a random sample of 86 graduates, of whom 56 got a job within one year. Is this enough evidence to show that a significantly smaller percent of graduates get jobs than adver

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 70% of its graduates get jobs within one year. You take a random sample of 86 graduates, of whom 56 got a job within one year. Is this enough evidence to show that a significantly smaller percent of graduates get jobs than advertised by the school? (Use αα=0.05)

For this study, we should use Select an answer 2-SampTTest TInterval 1-PropZTest T-Test ANOVA 1-PropZInt χ²-Test 2-PropZTest χ²GOF-Test 2-PropZInt 2-SampTInt

The null and alternative hypotheses would be:
  H0H0: ? p μ  Select an answer < > ≠ =   (please enter a decimal)
  H1H1: ? p μ  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 ? > ≤ αα

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 population proportion is not significantly smaller than 70% at αα = 0.05, so there is not sufficient evidence to conclude that the percent of graduates get jobs within one year is smaller than 70%.
- The sample data suggest that the populaton proportion is significantly smaller than 70% at αα = 0.05, so there is sufficient evidence to conclude that the percent of graduates get jobs within one year is smaller than 70%

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