In a random sample of 140 voters, the proportion of voters in favor of a bond issue is 0.7. Let p = proportion of all voters who are in favor of the bond issue. (1) Test H0:p≤0.6 against H1:p>0.6. 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≤0.6. B. We can reject the null hypothesis that ?≤0.6p≤0.6 and accept that p>0.6. (2) Test H0:p≥0.6 against H1:p<0.6. Use α=0.05. The test statistic is: The critical value is : The final conclustion is A. We can reject the null hypothesis that p≥0.6 and accept that p<0.6. B. There is not sufficient evidence to reject the null hypothesis that p≥0.6. (3) Test ?H0:p=0.5 against H1:p≠0.5. Use α=0.05. The test statistic is: The positive critical value is : The negative 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.
In a random sample of 140 voters, the proportion of voters in favor of a bond issue is 0.7. Let p = proportion of all voters who are in favor of the bond issue.
(1) Test H0:p≤0.6 against H1:p>0.6. 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≤0.6.
B. We can reject the null hypothesis that ?≤0.6p≤0.6 and accept that p>0.6.
(2) Test H0:p≥0.6 against H1:p<0.6. Use α=0.05.
The test statistic is:
The critical value is :
The final conclustion is
A. We can reject the null hypothesis that p≥0.6 and accept that p<0.6.
B. There is not sufficient evidence to reject the null hypothesis that p≥0.6.
(3) Test ?H0:p=0.5 against H1:p≠0.5. Use α=0.05.
The test statistic is:
The positive critical value is :
The negative 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.
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