At a certain large school it was found that the proportion of students not wearing correct uniform was $$\(0.15\)$$. The school sent a letter to parents asking them to ensure that their children wear the correct uniform. The school now wishes to test whether the proportion not wearing correct uniform has been reduced. A suitable sample of 50 students is selected and the number not wearing correct uniform is noted. This figure is used to carry out a test at the $$\(5 \%\)$$ significance level. State, with a reason, which of the errors, Type I or Type II, may have been made. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s21_qp_61 Year:2021 Question No:8(e)

Answer:

Not rejected \(\mathrm{H}_{0}\)
Type II

Knowledge points:

6.5.4 understand the terms Type I error and Type II error in relation to hypothesis tests

Solution:

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