Prospective drivers who enroll in Smart Driver Driving School have always been taught by a conventlohal leacng school has many branches across provinces. Last year, among all students that took driving lessons from the school in a certain province, 80% passed the provincial road test. This year, the teaching committee came up with a new teaching method. The committee randomly assigned half of its 2400 students enrolled this year to receive the conventional teaching method and the remaining half to receive the new teaching'method. In a random sample of 100 students who received the conventional teaching method, 76% passed the road test. Part i) To test if the passing rate has decreased from last year for students who received the conventional teaching method, what will be the null hypothesis? OA. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. OB. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80. OC. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76. OD. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. OE. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76. OF. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80. Part ii) For the test mentioned in the previous part, what will be the alternative hypothesis? OA. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. OB. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76 OC. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80 OD. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. OE. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76 F. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals

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## Smart Driver School Statistical Analysis Exercise

### Background Information
Prospective drivers enrolling in Smart Driver Driving School have traditionally been taught using a conventional teaching method. The school operates numerous branches across provinces. Last year, 80% of students who underwent training passed the provincial road test. This year, a new teaching method has been introduced. Students were randomly assigned to either continue with the conventional teaching method or try the new approach. Out of a random sample of 100 students using the conventional method, 76% passed the road test.

### Part i) Null Hypothesis Testing
The goal is to test whether the passing rate has decreased from last year for students using the conventional teaching method. Determine the null hypothesis from the following options:

- **A.** The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80.
- **B.** The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80.
- **C.** The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76.
- **D.** The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80.
- **E.** The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76.
- **F.** The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80.

### Part ii) Alternative Hypothesis Testing
For the test mentioned in Part i, identify the alternative hypothesis:

- **A.** The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80.
- **B.** The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76.
- **C.** The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80.
- **D.** The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80.
- **E.** The proportion of
Transcribed Image Text:## Smart Driver School Statistical Analysis Exercise ### Background Information Prospective drivers enrolling in Smart Driver Driving School have traditionally been taught using a conventional teaching method. The school operates numerous branches across provinces. Last year, 80% of students who underwent training passed the provincial road test. This year, a new teaching method has been introduced. Students were randomly assigned to either continue with the conventional teaching method or try the new approach. Out of a random sample of 100 students using the conventional method, 76% passed the road test. ### Part i) Null Hypothesis Testing The goal is to test whether the passing rate has decreased from last year for students using the conventional teaching method. Determine the null hypothesis from the following options: - **A.** The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. - **B.** The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80. - **C.** The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76. - **D.** The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. - **E.** The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76. - **F.** The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80. ### Part ii) Alternative Hypothesis Testing For the test mentioned in Part i, identify the alternative hypothesis: - **A.** The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. - **B.** The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76. - **C.** The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80. - **D.** The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. - **E.** The proportion of
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