I need answers for questions a and b please. Thanks in advance.

A new reading program may reduce the number of elementary school students who read below grade level. The company that developed this program supplied materials and teacher training for a large-scale test involving nearly 9,200 children in several different school districts. Statistical analysis of the results showed that the percentage of students who did not meet the grade-level goal was reduced from 14.9% to 14.1%. The hypothesis that the new reading program produced no improvement was rejected with a P-value of 0.046. Complete parts a) and b) below. a) Explain what the P-value means in this context. Choose the correct answer below. O A. There is only a 4.6% chance of seeing a sample proportion of 14.9% (or more) of students failing the test by natural sampling variation if 14.1% is the true population value. O B. There is only a 95.4% chance of seeing a sample proportion of 14. 1% (or less) of students failing the test by natural sampling variation if 14 9% is the true population value. O C. There is a 95.4% chance of seeing a sample proportion of 14 9% (or more) of students failing the test by natural sampling variation if 14.1% is the true population value. O D. There is only a 4.6% chance of seeing a sample proportion of 14. 1% (or less) of students failing the test by natural sampling variation if 14.9% is the true population value. b) Even though this reading program has been shown to be significantly better. why might you not recommend that your local school adopt it? O A. Under the old methods, 1,371 students would be expected to fail. With the new program, 1,297 failed. This is only a decrease of 74 students. It would depend on the costs of switching to the new program. O B. You might not recommend that your school adopt the new program because the sample was not chosen at random, thus compromising the results. O C. Under the old methods, 1,297 students would be expected to fail. With the new program, 1,371 failed. The school would not want to adopt a new reading program that increases the number of students who fail. O D. You might not recommend that your school adopt the new program because the sample size of the test was not large enough to come to a decision. Click to select your answer ? 1:40 PM Type here to search O Hi 4/24/2021 DELL