Question

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, 48% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 18 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the $alpha = 0.025$ level of significance? Complete parts (a) through (g). (a) State the appropriate null and alternative hypotheses. $H_0: p = 0.48$ versus $H_1: p > 0.48$ (Type integers or decimals. Do not round.) (b) Verify that the normal model may not be used to estimate the P-value. Because $n p_0 (1 - p_0) = 4.5 < 10$, the normal model may not be used to approximate the P-value. (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 0.48 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.)

          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, 48% of the students complete the course with a letter
grade of A, B, or C. In the experimental course, of the 18 students enrolled, 11 completed the course with a
letter grade of A, B, or C. Is the experimental course effective at the $alpha = 0.025$ level of significance? Complete
parts (a) through (g).
(a) State the appropriate null and alternative hypotheses.
$H_0: p = 0.48$ versus $H_1: p > 0.48$
(Type integers or decimals. Do not round.)
(b) Verify that the normal model may not be used to estimate the P-value.
Because $n p_0 (1 - p_0) = 4.5 < 10$, the normal model may not be used to approximate the P-value.
(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 0.48 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.)

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, 48% of the students complete the course with a letter
grade of A, B, or C. In the experimental course, of the 18 students enrolled, 11 completed the course with a
letter grade of A, B, or C. Is the experimental course effective at the alpha = 0.025 level of significance? Complete
parts (a) through (g).
(a) State the appropriate null and alternative hypotheses.
H0: p = 0.48 versus H1: p > 0.48
(Type integers or decimals. Do not round.)
(b) Verify that the normal model may not be used to estimate the P-value.
Because n p0 (1 - p0) = 4.5 < 10, the normal model may not be used to approximate the P-value.
(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 0.48 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.)

Added by Esperanza T.

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