Question

A university provides an opportunity for teachers to take part in training about how to respond to students’ questions. University managers believes that less than 60% of the teachers took part in the training. You are asked to examine whether there is any evidence to support this claim. You have surveyed 25 teachers and found that 17 of them have been benefited from the training.

a) State the direction of the test you are conducting and explain why you have chosen this test.

b) Using a level of significance (α) of 1%, determine the critical value(s).

c) Determine your decision rule

d) Calculate your test statistic.

e) State your decision and discuss how you come to this decision.

f) Build a 99% confidence interval for the proportion of teachers who have benefited from the training and interpret your findings.

Answer 1

We are 99% confident that the true population proportion lies within the interval.

Conclusion : There is no sufficient evidence to conclude that managers belief leaa than 69% of th teachers took part in the training.