Question

1. We wish to test H₀:  = 0 versus H_a:  > 0. If we calculate a test statistic of  = 0.6, then my p-value will be closest to

1. 0.003
2. 0.300
3. 0.600
4. 0.950

2. When estimating , the proportion of voting age citizens who will vote for Candidate A, political researchers calculate the 90% confidence interval (0.67, 0.73).  

If we were to also test the hypotheses H₀:  = 0.666 versus H_a:  0.666 using a significance level of  = 0.10, we would decide to

1. accept H₀.
2. reject H₀.
3. not reject H₀.
4. reject H_a.

3. Refer again to the 90% confidence interval (0.67, 0.73) in the previous problem.  If we instead chose to create an 80% confidence interval, then that 80% interval would be

1. narrower than the 90% interval.
2. the same as the 90% interval.
3. wider than the 90% interval.
4. either wider or narrower, but it is impossible to tell.

4. Suppose we conduct a hypothesis test and it results in a p-value = 0.0532.  This result is

1. not significant at any  level
2. significant at the 10% level, but not the 5% or 1% levels.
3. significant at the 10% and 5% levels, but not the 1% level.
4. significant at the 10%, 5%, and 1% levels.

Answer 1

1) p value for above test statistic 0.300

option B

2)

reject H₀.   as 0.666 is not in the confidence interval

3)

narrower than the 90% interval
4) significant at the 10% level, but not the 5% or 1% levels.