Author Question: A random sample of 300 female registered voters was surveyed and 120 indicated they were planning to ... (Read 105 times)

viki · **on:** Aug 1, 2018

A random sample of 300 female registered voters was surveyed and 120 indicated they were planning to vote for the incumbent president. An independent random sample of 400 male registered voters indicated that 140 were planning to vote for the incumbent president.
a. Compute the test statistic.
b. At = .05, test to see if there is a significant difference between the proportions of females and males who plan to vote for the incumbent president. (Use the p-value approach.)

Question 2

A random sample of 200 UTC seniors was surveyed and 60 indicated that they were planning on attending Graduate School. At UTK, a random sample of 400 seniors was surveyed and 100 indicated that they were planning to attend Graduate School.
a. Determine a 95 confidence interval estimate for the difference between the proportions of seniors at the two universities that were planning to attend Graduate School.
b. Is there conclusive evidence to suggest that the proportion of students from UTC who plan to go to Graduate School is significantly more than those from UTK? Explain.

abro1885 · **Reply #1 on:** Aug 1, 2018

Answer to Question 1

a . z = 1.35
b. p-value = .177; do not reject H0

Answer to Question 2

a . .026 to .126 (UTC UTK)
b. No, the range of the interval is from a negative value to a positive value.