Algebra students in a local high school use a computer-based program to brush up on algebra skills to be assessed by a test. The program claims that 80% of students using the program will pass the test. After an early pilot of the new program, only33of50 studentspassed the test.

A 1-proportionz-test is going to be conducted to see if there's evidence that the true passing rate is less than what was claimed. The null hypothesis is

p= 0.80.

(a)What is the alternative hypothesis?

H_a:p= 0.80

H_a:p> 0.80

H_a:p0.80

H_a:p< 0.80

(b)What is the value ofz, the test statistic? (Round your answer to two decimal places.)

z=

(c)What is theP-value? (Usea tableor technology. Round your answer to four decimal places.)