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...

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 asignificantly different percent of graduates get jobs than advertised by the school? (Use αα=0.025)

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

1. 
   
   
   
   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.

1. As such, the final conclusion is that ...
   
   
   

   
   
   • The sample data suggest that the populaton proportion issignificantly 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 notsignificantly 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%.