question archive A survey amongst a random sample of 250 male and female respondents was conducted into their music listening preferences
A survey amongst a random sample of 250 male and female respondents was conducted into their music listening preferences
Subject:StatisticsPrice: Bought3
A survey amongst a random sample of 250 male and female respondents was conducted into their music listening preferences. Each respondent was asked whether they enjoy listening to jazz. Of the 140 males surveyed, 46 answered 'Yes'. Of the 110 female respondents, 21 answered 'Yes'. Is there statistical evidence at the 5% level of significance that males and females equally enjoy listening to jazz? Question: Formulate the Null and Alternative Hypothesis for this problem and tick the correct answer below.
2 points
a) H0: μ1 - μ2 ≠ 0 vs H1: μ1 - μ2 > 0
b) H0: μ1 - μ2 = 0 vs H1: μ1 - μ2 ≠ 0
c) H0: μ1 - μ2 < 0 vs H1: μ1 - μ2 < 0
d) H0: μ1 - μ2 ≤ 0 vs H1: μ1 - μ2 < 0
2.7 Make use of the information provided in the previous question and calculate the z-statistic using Z-test and tick the correct answer below.
5 points
a) z-stat = 1.96
b) z-stat = 2.19
c) z-stat = 2.44
d) z-stat = -2.01
2.8 Based on your empirical evidence in the previous question make a statistical conclusion whether there is statistical evidence at the 5% level of significance that males and females equally enjoy listening to jazz. Tick the correct answer below.
5 points
a) None of these answers is correct.
b) Reject the Null hypothesis. The alternative is probably true that the male and female proportions differ.
c) Fail to reject the Null hypothesis, the Null is probably true that the male and female proportions is the same.
d) Accept the Null hypothesis because the statistic is very close to the z-critical = 1.96.
