In a random sample of 110 voters, the proportion of voters in favor of a bond issue is 0.8. Let p = proportion of all voters who are in favor of the bond issue. (1) Test H0:p≤0.65 against H1:p>0.65. Use α=0.05. The test statistic is The critical value is The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that p≤0.65. B. We can reject the null hypothesis that p≤0.65 and accept that p>0.65.
In a random sample of 110 voters, the proportion of voters in favor of a bond issue is 0.8. Let p = proportion of all voters who are in favor of the bond issue.
(1) Test H0:p≤0.65 against H1:p>0.65. Use α=0.05.
The test statistic is
The critical value is
The final conclustion is
A. There is not sufficient evidence to reject the null hypothesis that p≤0.65.
B. We can reject the null hypothesis that p≤0.65 and accept that p>0.65.
(2) Test H0:p≥0.5 against H1:p<0.5. Use α=0.05.
The test statistic is
The critical value is
The final conclustion is
A. There is not sufficient evidence to reject the null hypothesis that p≥0.5.
B. We can reject the null hypothesis that p≥0.5 and accept that p<0.5.
(3) Test H0:p=0.55 against H1:p≠0.55. Use α=0.01.
The test statistic is
The positive critical value is
The negative critical value is
The final conclustion is
A. We can reject the null hypothesis that p=0.55 and accept that p≠0.55.
B. There is not sufficient evidence to reject the null hypothesis that p=0.55.
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