A school reports that 80% of its graduates get jobs within one year. You take a random sample of 68 graduates, of whom 50 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=0.01) For this study, we should use                The null and alternative hypotheses would be:      H0H0:           (please enter a decimal)      H1H1:           (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      the null hypothesis.   As such, the final conclusion is that ... The sample data suggest that the populaton proportion is significantly different than 80% at αα = 0.01, so there is sufficient evidence to conclude that the percent of graduates get jobs within one year is different than 80% The sample data suggest that the population proportion is not significantly different than 80% at αα = 0.01, so there is not sufficient evidence to conclude that the percent of graduates get jobs within one year is different than 80%.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A school reports that 80% of its graduates get jobs within one year. You take a random sample of 68 graduates, of whom 50 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=0.01)

    1. For this study, we should use             

 

    1. The null and alternative hypotheses would be:   
        H0H0:           (please enter a decimal)   
        H1H1:           (Please enter a decimal)   

 

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

 

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

 

    1. The p-value is     αα

 

    1. Based on this, we should      the null hypothesis.

 

  1. As such, the final conclusion is that ...
    • The sample data suggest that the populaton proportion is significantly different than 80% at αα = 0.01, so there is sufficient evidence to conclude that the percent of graduates get jobs within one year is different than 80%
    • The sample data suggest that the population proportion is not significantly different than 80% at αα = 0.01, so there is not sufficient evidence to conclude that the percent of graduates get jobs within one year is different than 80%.
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