Short-term classes: Does taking a class in a short-term format (8 weeks instead of 16 weeks) increase a student’s likelihood of passing the course? For a particular course, the pass rate for the 16-week format is 59%. A team of faculty examine student data from 40 randomly selected accelerated classes and determine that the pass rate is 78%. Which of the following are the appropriate null and alternative hypotheses for this research question?a.H0: p = 0.59; Ha: p ≠ 0.59b.H0: p = 0.59; Ha: p > 0.59c.H0: p = 0.78; Ha: p ≠ 0.78d.H0: p = 0.78; Ha: p > 0.59

Answer:C) is the most appropriate.Step-by-step explanation:The pass rate for the 16-week format was obtained for only one particular course, whereas the pass rate for the 8-week format was obtained by examining 40 randomly selected, so [tex]H_0[/tex] should be  [tex]H_0[/tex]:“The pass rate is p=0.78” and  [tex]H_a[/tex]: ““The pass rate is p<0.78” But, from among the possible answers of choice, C) is the most suitable. [tex]H_0[/tex]:“The pass rate is p=0.78” and  [tex]H_a[/tex]: ““The pass rate is p≠0.78”