Standard error for the proportion

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1. A newspaper conducted a statewide survey concerning the 2000 race for state senator. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 680 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state that would vote for the Republican candidate. The margin of error for 99% confidence is

A. 0.014
B. 0.033
C. 0.037

2. A radio talk show host is interested in the proportion p of adults in his listening area who think the drinking age should be lowered to 18. To find this proportion out he poses the following question to his listeners: "Do you think that the drinking age should be reduced to 18 in light of the fact that 18 year olds are eligible for military service?" He asks listeners to phone in and vote "yes" if they agree the drinking age should be lowered and "no" if not. Of the 200 people who phoned, in 140 answered "yes". The standard error for the proportion of those who phoned in who answered "yes" is

A. 0.46
B. 0.032
C. 0.00105

3. A newspaper conducted a statewide survey concerning the 2000 race for state senator. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 680 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state that would vote for the Republican candidate. We wish to see if there is evidence that the majority of voters prefer the Republican candidate. The hypotheses corresponding to this are

A. H0: p = 0.50 and Ha: p ≠ 0.50
B. H0: p = 0.50 and Ha: p > 0.50
C. H0: p = 0.57 and Ha: p > 0.57

Reference no: EM137746

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