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 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 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 100 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 equals 0.80. E. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. F. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76.
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 0.76. 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 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.80. D. The proportion of 100 students who received the conventional teaching method and subsequently passed the road test this year equals 0.76. E. The proportion of 1200 students who received the conventional teaching method and subsequently passed the road test this year is lower than 0.80. 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 iii) What is the approximate null model for the sample proportion of the conventional teaching group who passed the road test? A. . B. . C. . D. . E. . F. .
Part iv) Compute the -value: (your answer must be expressed as a proportion and rounded to 4 decimal places.)
Part v) What is an appropriate conclusion for the hypothesis test at the 2% significance level? A. The passing rate for students taught using the conventional method this year is significantly lower than last year’s. B. The passing rate for students taught using the conventional method this year is not significantly lower than last year’s. C. The passing rate for students taught using the conventional method this year is the same as last year’s. D. Both (b) and (c).
You can earn partial credit on this problem.