A professor gives a multiple choice exam where each question has five choices. The professor decides not to count a question against students if the class as a whole does significantly worse on the question than they would have done simply by guessing. In other words, the teacher tests H0:p=0.20H0​:p=0.20H, start subscript, 0, end subscript, colon, p, equals, 0, point, 20 versus Ha:p<0.20Ha​:p<0.20H, start subscript, start text, a, end text, end subscript, colon, p, is less than, 0, point, 20 for each question, where ppp is the proportion of students who would correctly answer the question. Suppose that 141414 of 100100100 students correctly answer a particular question. Assuming that the conditions for inference have been met, calculate the test statistic for the professor's significance test. You may round to two decimal places. z=

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A professor gives a multiple choice exam where each question has five choices. The professor decides not to count a question against students if the class as a whole does significantly worse on the question than they would have done simply by guessing. In other words, the teacher tests H0:p=0.20H0​:p=0.20H, start subscript, 0, end subscript, colon, p, equals, 0, point, 20 versus Ha:p<0.20Ha​:p<0.20H, start subscript, start text, a, end text, end subscript, colon, p, is less than, 0, point, 20 for each question, where ppp is the proportion of students who would correctly answer the question.

Suppose that 141414 of 100100100 students correctly answer a particular question.
Assuming that the conditions for inference have been met, calculate the test statistic for the professor's significance test.
You may round to two decimal places.
z=
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