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  3. two professors at a local college developed a new

Two professors at a local college developed a new teaching curriculum designed to increase​ students' grades...

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Statistics

Two professors at a local college developed a new teachingcurriculum designed to increase​ students' grades in math classes.In a typical developmental math​ course, 53​% of the studentscomplete the course with a letter grade of​ A, B, or C. In theexperimental​ course, of the 14 students​ enrolled, 11 completedthe course with a letter grade of​ A, B, or C. Is the experimentalcourse effective at the alpha equals 0.01 level of​ significance?Complete parts ​(a) through​ (g).

​(a) State the appropriate null and alternative hypotheses.

​(b) Verify that the normal model may not be used to estimatethe​ P-value.

​(c) Explain why this is a binomial experiment

(d) Determine the​ P-value using the binomial probabilitydistribution. State your conclusion to the hypothesis test.

​(e) Suppose the course is taught with 4242 students and 3333complete the course with a letter grade of​ A, B, or C. Verifywhether the normal model may now be used to estimate the​P-value

(f) Use the normal model to obtain and interpret the​ P-value.State your conclusion to the hypothesis test.

(g) Explain the role that sample size plays in the ability toreject statements in the null hypothesis.

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