Because npo (1- Po) > 10, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the %3D normal model may be used to approximate the P-value. (Round to one decimal place 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, 49​%of the students complete the course with a letter grade of​ A, B, or C. In the experimental​ course, of the 17 students​ enrolled, 12 completed the course with a letter grade of​ A, B, or C. Is the experimental course effective at the α=0.05 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,
49% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 17 students enrolled, 12 completed the course with a letter
grade of A, B, or C. Is the experimental course effective at the a = 0.05 level of significance? Complete parts (a) through (g).
A. Yes, reject the null hypothesis because the P-value is less than a. There is sufficient evidence to conclude that the experimental course is effective.
B. No, do not reject the null hypothesis because the P-value is greater than a. There is insufficient evidence to conclude that the experimental course is effective.
C. Yes, do not reject the null hypothesis because the P-value is greater than a. There is sufficient evidence to conclude that the experimental course is effective.
D. No, reject the null hypothesis because the P-value is less than a. There is insufficient evidence to conclude that the experimental course is effective.
(e) Suppose the course is taught with 51 students and 36 complete the course with a letter grade of A, B, or C. Verify whether the normal model may now be used to
estimate the P-value.
Because npo (1- Po)
> 10, the sample size is
less than
5% of the population size, and the sample
can be reasonably assumed to be random,
the
%D
normal model
may
be used to approximate the P-value.
(Round to one decimal place as needed.)
ERest Converter
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, 49% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 17 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.05 level of significance? Complete parts (a) through (g). A. Yes, reject the null hypothesis because the P-value is less than a. There is sufficient evidence to conclude that the experimental course is effective. B. No, do not reject the null hypothesis because the P-value is greater than a. There is insufficient evidence to conclude that the experimental course is effective. C. Yes, do not reject the null hypothesis because the P-value is greater than a. There is sufficient evidence to conclude that the experimental course is effective. D. No, reject the null hypothesis because the P-value is less than a. There is insufficient evidence to conclude that the experimental course is effective. (e) Suppose the course is taught with 51 students and 36 complete the course with a letter grade of A, B, or C. Verify whether the normal model may now be used to estimate the P-value. Because npo (1- Po) > 10, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the %D normal model may be used to approximate the P-value. (Round to one decimal place as needed.) ERest Converter
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