A school reports that 76% of its graduates get jobs within one year. You take a random sample of 88 graduates, of whom 62 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
=0.05)
For this study, we should use
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The null and alternative hypotheses would be:
:
?
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(please enter a decimal)
:
?
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(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
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the null hypothesis.
As such, the final conclusion is that ...
The sample data suggest that the populaton proportion is significantly smaller than 76% at
= 0.05, so there is sufficient evidence to conclude that the percent of graduates get jobs within one year is smaller than 76%
The sample data suggest that the population proportion is not significantly smaller than 76% at
= 0.05, so there is not sufficient evidence to conclude that the percent of graduates get jobs within one year is smaller than 76%.