Two random samples are taken, one from among first-year students and the other from among fourth-year students at a publ
Posted: Mon Jul 11, 2022 11:39 am
Two random samples are taken, one from among first-year studentsand the other from among fourth-year students at a publicuniversity. Both samples are asked if they favor modifying thestudent Honor Code. A summary of the sample sizes and number ofeach group answering yes'' are given below:
First-Years (Pop. 1): n1=81, x1=42 Fourth-Years (Pop. 2):n2=94,x2=61
Is there evidence, at an α=0.06 level of significance,to conclude that there is a difference in proportions betweenfirst-years and fourth-years? Carry out an appropriate hypothesistest, filling in the information requested.
A. The value of the standardized test statistic:
Note: For the next part, your answershould use interval notation. An answer of theform (−∞,a)(−∞,a) is expressed (-infty, a), an answer ofthe form (b,∞)(b,∞) is expressed (b, infty), and ananswer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed(-infty, a)U(b, infty).
B. The rejection region for the standardized teststatistic:
C. The p-value is
First-Years (Pop. 1): n1=81, x1=42 Fourth-Years (Pop. 2):n2=94,x2=61
Is there evidence, at an α=0.06 level of significance,to conclude that there is a difference in proportions betweenfirst-years and fourth-years? Carry out an appropriate hypothesistest, filling in the information requested.
A. The value of the standardized test statistic:
Note: For the next part, your answershould use interval notation. An answer of theform (−∞,a)(−∞,a) is expressed (-infty, a), an answer ofthe form (b,∞)(b,∞) is expressed (b, infty), and ananswer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed(-infty, a)U(b, infty).
B. The rejection region for the standardized teststatistic:
C. The p-value is