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...


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,<br>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<br>grade of A, B, or C. Is the experimental course effective at the a= 0.05 level of significance? Complete parts (a) through (g).<br>(a) State the appropriate null and alternative hypotheses.<br>Ho: p<br>0.53 versus H1: p<br>0.53<br>><br>(Type integers or decimals. Do not round.)<br>(b) Verify that the normal model may not be used to estimate the P-value.<br>Because npo (1- Po) = 3.7 < 10, the normal model may not be used to approximate the P-value.<br>(Round to one decimal place as needed.)<br>(c) Explain why this is a binomial experiment.<br>There is a<br>fixed<br>number of trials with two mutually exclusive outcomes.<br>The trials<br>are<br>independent and the probability of success is fixed at<br>for each trial.<br>(Type an integer or a decimal. Do not round.)<br>

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). (a) State the appropriate null and alternative hypotheses. Ho: p 0.53 versus H1: p 0.53 > (Type integers or decimals. Do not round.) (b) Verify that the normal model may not be used to estimate the P-value. Because npo (1- Po) = 3.7 < 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="" for="" each="" trial.="" (type="" an="" integer="" or="" a="" decimal.="" do="" not="">

Jun 01, 2022
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