Question

True/False, if false briefly explain.

1. The margin of error for a confidence interval used for an opinion poll does not take into account the fact that people who did not answer the poll questions may have had different responses from those who did answer the questions.

2. If the p-value for a significance test is 0.35, we can conclude that the null hypothesis has a 35% chance of being true.

3. A student project used a confidence interval to describe the results in a final report. The confidence level was 110%.

4. A z statistic is used to test the null hypothesis that p(hat1) = p(hat2).

5. If two sample proportions are equal, then the sample counts are equal

6. A 95% Confidence interval for the difference in two proportions includes errors due to non-response.

Answer 1

Ans:

1)True,margin of error include only sampling error.

2)False

The P value, or calculated probability, is the probability of finding the observed, or more extreme, results when the null hypothesis of a study question is true the definition of 'extreme' depends on how the hypothesis is being tested.

3)False,confidence level can not be above 100.

4)False,z statistic is used to test the hypothesis i.e p₁=p₂ i.e. population proportions,not sample statistic.

5)False,sample successes and sample counts can be different for equal sample proportions.

6)False,A 95% Confidence interval for the difference in two proportions doesn't include errors due to non-response.