Answer:
(i) Correct option is (C).
(ii) The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80.
Step-by-step explanation:
A new teaching method is implemented at the Smart Driver Driving School to teach students.
The passing rate of students using the conventional method is 0.80.
After implementing the new method half the students were taught using the conventional method and the other half using the new method.
The passing rate of students in the conventional method group was 0.79.
A hypothesis test for single proportion can be used to determine whether the passing rate has decreased from last year for students who received the conventional teaching method.
(i)
The hypothesis is defined as follows:
<em>H₀</em>: The passing rate has not decreased from last year for students who received the conventional teaching method, i.e <em>p</em> = 0.80.
<em>Hₐ</em>: The passing rate has decreased from last year for students who received the conventional teaching method, i.e <em>p</em> < 0.80.
Thus, the correct null hypothesis is given by the statement:
(C) The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80.
(ii)
The alternate hypothesis is given by:
The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80.
