Prospective drivers who enrol in Smart Driver Driving School have always been taught by a conventional teaching method. The driving 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, 75% 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? A. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 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 is lower than 0.80. D. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.75. E. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.75. F. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. Part ii) For the test mentioned in the previous part, what will be the alternative hypothesis? A. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.75. B. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.75. C. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. 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 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80. F. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80. Part iii) What is the approximate null model for the sample proportion of the conventional teaching group who passed the road test? A. ?(0.80,0.8⋅0.2100‾‾‾‾‾‾√) N ( 0.80 , 0.8 ⋅ 0.2 100 ) . B. ?(0.80,0.8⋅0.21200‾‾‾‾‾‾√) N ( 0.80 , 0.8 ⋅ 0.2 1200 ) . C. ?(0.75,0.75⋅0.25100‾‾‾‾‾‾‾‾√) N ( 0.75 , 0.75 ⋅ 0.25 100 ) . D. ?(0.75,0.75⋅0.251200‾‾‾‾‾‾‾‾√) N ( 0.75 , 0.75 ⋅ 0.25 1200 ) . E. ?(0.75,0.8⋅0.2100‾‾‾‾‾‾√) N ( 0.75 , 0.8 ⋅ 0.2 100 ) . F. ?(0.80,0.75⋅0.25100‾‾‾‾‾‾‾‾√) N ( 0.80 , 0.75 ⋅ 0.25

Prospective drivers who enrol in Smart Driver Driving School have always been taught by a conventional teaching method. The driving 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, 75% 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? A. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 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 is lower than 0.80. D. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.75. E. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.75. F. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. Part ii) For the test mentioned in the previous part, what will be the alternative hypothesis? A. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.75. B. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.75. C. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. 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 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80. F. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80. Part iii) What is the approximate null model for the sample proportion of the conventional teaching group who passed the road test? A. ?(0.80,0.8⋅0.2100‾‾‾‾‾‾√) N ( 0.80 , 0.8 ⋅ 0.2 100 ) . B. ?(0.80,0.8⋅0.21200‾‾‾‾‾‾√) N ( 0.80 , 0.8 ⋅ 0.2 1200 ) . C. ?(0.75,0.75⋅0.25100‾‾‾‾‾‾‾‾√) N ( 0.75 , 0.75 ⋅ 0.25 100 ) . D. ?(0.75,0.75⋅0.251200‾‾‾‾‾‾‾‾√) N ( 0.75 , 0.75 ⋅ 0.25 1200 ) . E. ?(0.75,0.8⋅0.2100‾‾‾‾‾‾√) N ( 0.75 , 0.8 ⋅ 0.2 100 ) . F. ?(0.80,0.75⋅0.25100‾‾‾‾‾‾‾‾√) N ( 0.80 , 0.75 ⋅ 0.25

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Description: Prospective drivers who enrol in Smart Driver Driving School have always been taught by a conventional teaching method. The driving school has many branches across provinces. Last year, among all students that took driving lessons from the school in

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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