A college administrator claims that the proportion of students that are nursing majors is less than 40%. To test this claim, a group of 400 students are randomly selected and its determined that 149 are nursing majors.

The following is the setup for this hypothesis test:

H0:p=0.40

Ha:p<0.40

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

Use the following portion of the Standard Normal Table: (To read the Standard Normal table, match the ones and tenths digits of the z-value in the first column with the correct hundredths digit in the first row.)

z...1.31.21.11.00.00...0.0970.1150.1360.1590.01...0.0950.1130.1340.1560.02...0.0930.1110.1310.1540.03...0.0920.1090.1290.1520.04...0.0900.1080.1270.1490.05...0.0890.1060.1250.1470.06...0.0870.1040.1230.1450.07...0.0850.1020.1210.1420.08...0.0840.1000.1190.1400.09...0.0820.0990.1170.138