Question

A teacher claims that the proportion of students expected to pass an exam is greater than 80%. To test this claim, the teacher administers the test to 200 random students anddetermines that 151 students pass the exam.

The following is the setup for this hypothesis test:

H0:p=0.80

Ha:p>0.80

Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

The following table can be utilized which provides areas under the Standard Normal Curve:

z0.000.010.020.030.040.050.060.070.080.09-1.90.0290.0280.0270.0270.0260.0260.0250.0240.0240.023-1.80.0360.0350.0340.0340.0330.0320.0310.0310.0300.029-1.70.0450.0440.0430.0420.0410.0400.0390.0380.0380.037-1.60.0550.0540.0530.0520.0510.0490.0480.0470.0460.046-1.50.0670.0660.0640.0630.0620.0610.0590.0580.0570.056-1.40.0810.0790.0780.0760.0750.0740.0720.0710.0690.068