a To determine whether or not a student was just guessing on

a. To determine whether or not a student was just guessing on a 30 question true/false test, a teacher records the proportion of cirrect answers to test the hypothesis. State whether a one-proportion z-test or two-proportion z-test would be appropiate and determine the correct hypothesis to test.

b. You test students at your school with a simple math problem and record the proportion of students who take less than 10 seconds, comparing juniors and seniors. State whether a one-proportion z-test or two-proportion z-test would be appropiate and determine the correct hypothesis to test.

Solution

A) one-proportion z-test is very much suits to the situation.

B) one-proportion z-test , since we consume the test with one tailed test