In: Statistics and Probability
a. Please state both the null and alternative hypotheses for this question. b. Provide the decision rule for making this decision. Use an alpha level of .05. c. Show all the work necessary to calculate the appropriate statistic. d. What conclusion are you allowed to draw? Write a conclusions sentence in APA format (i.e., it includes the appropriate statistical information).
A professor wants to determine whether her department should keep the requirement of college algebra as a prerequisite for an Introductory Statistics course. Accordingly, she allows some students to register for the course on a pass-fail basis regardless of whether they have had the prerequisite. Of the 70 students in the class, 40 have had algebra and 30 have not. At the end of the semester, the professor compares the number of students passing or failing the class with whether they had algebra. The results are presented below. Are students more likely to pass the course if they have taken college algebra? Pass Fail 34 6 12 18 Algebra No algebra
we conduct chi-square test of independence
Null hypothesis is rejected hence
her department should keep the requirement of college algebra as a prerequisite for an Introductory Statistics course