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, 56% 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 = 0.05 level of significance? Complete parts (a) through (g). There is a fixed number of trials with two mutually exclusive outcomes. The trials are independent and the probability of success is fixed at 0.56 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.)
SOLVE (D) AND SHOW HOW YOU GOT THE ANSWER PLEASE!

Answer 1

d)

here this is binomial with parameter n=15 and p=0.56

p value =P(getting 11 or more with grade A, B and C if p value =0.56)

=P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)

= (15C11)*(0.56)^11*(0.44)^4+(15C12)*(0.56)^12*(0.44)^3+(15C13)*(0.56)^13*(0.44)^2+(15C14)*(0.56)^14*(0.44)^1+(15C15)*(0.56)^15*(0.44)^0

=0.0869+0.0369+0.0108+0.0020+0.0002

=0.137