1 A presidential candidate believes that 58 of the voters ar

1. A presidential candidate believes that 58% of the voters are supporting him. His opponent believes this estimate is too high. State the appropriate null and alternative hypotheses to be tested by the opponent.

A. Ho: p=0.58 vs Ha: p not equal to 0.58
B. Ho: p= 0.58 vs Ha: p <0.85
C. Ho: xbar=0.58 vs Ha: xbar not equal to 0.58
D. Ho: xbar=0.58 vs Ha: xbar <0.58

2. A sample size of 80 is to be used to test the hypotheses Ho: mu=29 vs Ha: mu>29 where mu is the true average age of a man when he gets married. What is the appropriate rejection region associated with the following significance level of 0.1?

A. Reject Ho if z>1.28
B. Reject Ho if z>2.33
C. Reject Ho if z>1.645
D. Reject Ho if z>2.575

Solution

Q1.
B. Ho: p= 0.58 vs Ha: p <0.58  
It is one tailed test, as the opponet believes that estimate is too high

Q2.
Critical Value
The Value of |Z | at LOS 0.1% right tailed is 1.28

A. Reject Ho if z>1.28