To determine if a candidate running for elective office has a favorable opinion

Question

To determine if a candidate running for elective office has a favorable opinion among amajority of the registered voters, what is the minimum number of registered voters who must be polled to ensure the margin of error is no worse than 3% with a 95% level of confidence? A 32 B 752 C 1068 D 2134 Which one of the following describes a correct action to take if the p-value for a statistical hypothesis test is equal to.04? A Reject Ho if a = .01 B Accept Ho if a = .05 C Reject Ho if a = .10 D Accept Ho if a =.10 The following information was computed from two independent samples collected from two normally distributed populations with equal variances. If an analyst wanted to prove the two groups had unequal population means, which one of the following would be the correct test statistic to use? Group Group B 90 64 -90 79 19.2 A B C D AZ-test statistic A t-test statistic with 180 degrees of freedom A t-test statistic with 90 degrees of freedom A t-test statistic with 89 degrees of freedom

Explanation / Answer

1)

here for no estimate p=0.5

margin of error E =0.03

for 95% CI ; z =1.96

therefore sample size n=p(1-p)*(Z/E)2 =~ 1068

option C

2)

reject HO id alpha =0.10 as p vlaue is less then 0.10 is correct

option C

3)

for above option D is correct

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