Question
Question 2 A sample of 91 observations indicated that X 1 is 70. A second sample of 140 observations indicated that X 2 is 89.
Question 2
A sample of 91 observations indicated that X1is 70. A second sample of 140 observations indicated that X2is 89. Conduct az-test of hypothesis about a difference in population proportions using a 0.05 significance level.
H0: p1- p2= 0
H1: p1- p2 0
a)State the decision rule.
a. RejectH0in favour ofH1if the computed value of the statistic is less than 1.96.
b. RejectH0in favour ofH1if the computed value of the statistic is greater than 1.96.
c. RejectH0in favour ofH1if the computed value of the statistic is less than -1.64 or greater than 1.64.
d. RejectH0in favour ofH1if the computed value of the statistic is between -1.64 and 1.64.
e. RejectH0in favour ofH1if the computed value of the statistic is less than -1.96 or greater than 1.96.
f. RejectH0in favour ofH1if the computed value of the statistic is between -1.96 and 1.96.
g. None of the above.
b)Compute the pooled proportion.
For full marks your answer should be accurate to at least four decimal places.
Pooled proportion:
c)What is the value of the test statistic?
For full marks your answer should be accurate to at least three decimal places.
Test statistic:
d)What is your decision regardingH0?
a. There is sufficient evidence, at the given significance level, to rejectH0, and acceptH1or at least there is not enough evidence to rejectH1.
b. There is insufficient evidence, at the given significance level, to rejectH0.
c. There is insufficient evidence to reject or not reject the null hypothesis.
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