Extracted 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, 53% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 10 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). (b) Verify that the normal model may not be used to estimate the P-value. npo (1 - Po) : (Round to one decimal place as needed.) Весause = 3.7 < 10, the normal model may not be used to approximate the p-value. (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 0.53 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 = 0.212 (round to three decimal places as needed.) is there sufficient evidence to support the research that the experimental course is effective? 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. cb. 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. 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, 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. (e) suppose the course is taught with 45 students and 30 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 normal model may be used to approximate the p-value. (round to one decimal place as needed.) 10,="" the="" normal="" model="" may="" not="" be="" used="" to="" approximate="" the="" p-value.="" (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="" 0.53="" 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="0.212" (round="" to="" three="" decimal="" places="" as="" needed.)="" is="" there="" sufficient="" evidence="" to="" support="" the="" research="" that="" the="" experimental="" course="" is="" effective?="" 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.="" cb.="" 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.="" 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,="" 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.="" (e)="" suppose="" the="" course="" is="" taught="" with="" 45="" students="" and="" 30="" 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="" normal="" model="" may="" be="" used="" to="" approximate="" the="" p-value.="" (round="" to="" one="" decimal="" place="" as="">