Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course 55% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 11 completed the course with a lette grade of A, B, or C. Is the experimental course effective at the a = 0.1 level of significance? Complete parts (a) through (g). (b) Verify that the normal model may not be used to estimate the P-value. Because npo (1- Po) = 3.7 < 10, the normal model may not be used to approximate the P-value. %3D (Round to one decimal place as needed.) (c) Explain why this is a binomial experiment. There is a fixed number of trials with two mutually exclusive outcomes. The trials are independent and the probability of success is fixed at 0.55 for each trial. (Type an integer or a decimal. Do not round.) (d) Determine the P-value using the binomial probability distribution. State your conclusion to the hypothesis test. First determine the P-value. P-value = (Round to three decimal places as needed.)

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Two professors at a local college developed a new teaching curriculum designed to increase​ students' grades in math classes. In a typical developmental math​ course, 55​%of the students complete the course with a letter grade of​ A, B, or C. In the experimental​ course, of the 15 students​ enrolled, 11 completed the course with a letter grade of​ A, B, or C. Is the experimental course effective at the α=0.1 level of​ significance? Complete parts ​(a) through​ (g).
 
 
 
Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course,
55% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 11 completed the course with a letter
grade of A, B, or C. Is the experimental course effective at the a = 0.1 level of significance? Complete parts (a) through (g).
(b) Verify that the normal model may not be used to estimate the P-value.
Because npo (1- Po)
< 10, the normal model may not be used to approximate the P-value.
= 3.7
(Round to one decimal place as needed.)
(c) Explain why this is a binomial experiment.
There is a
fixed
number of trials with two mutually exclusive outcomes.
The trials
are
independent and the probability of succ
is fixed at
0.55 for each trial.
(Type an integer or a decimal. Do not round.)
(d) Determine the P-value using the binomial probability distribution. State your conclusion to the hypothesis test.
First determine the P-value.
P-value = (Round to three decimal places as needed.)
Transcribed Image Text:Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 55% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.1 level of significance? Complete parts (a) through (g). (b) Verify that the normal model may not be used to estimate the P-value. Because npo (1- Po) < 10, the normal model may not be used to approximate the P-value. = 3.7 (Round to one decimal place as needed.) (c) Explain why this is a binomial experiment. There is a fixed number of trials with two mutually exclusive outcomes. The trials are independent and the probability of succ is fixed at 0.55 for each trial. (Type an integer or a decimal. Do not round.) (d) Determine the P-value using the binomial probability distribution. State your conclusion to the hypothesis test. First determine the P-value. P-value = (Round to three decimal places as needed.)
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