Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes'' are given below: First-Years (Pop. 1):Fourth-Years (Pop. 2):?1=98,?2=83,?1=51?2=37First-Years (Pop. 1):n1=98,x1=51Fourth-Years (Pop. 2):n2=83,x2=37 Is there evidence, at an ?=0.06α=0.06 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested.
Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes'' are given below:
Is there evidence, at an ?=0.06α=0.06 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested.
A. The value of the standardized test statistic:
Note: For the next part, your answer should use interval notation. An answer of the form (−∞,?)(−∞,a) is expressed (-infty, a), an answer of the form (?,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,?)∪(?,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty).
B. The rejection region for the standardized test statistic:
C. The p-value is
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
