68. A poll reported that 41% men surveyed were in favour of increased security a
ID: 3357790 • Letter: 6
Question
68. A poll reported that 41% men surveyed were in favour of increased security at airports, while 25% of women surveyed were in favour of increased security. The p-value for this test for any difference is 0.009. Just based on the p-value and the test question, what can you best conclude about a confidence interval for the true proportion? A 99.5% confidence interval will include 0. A 99% confidence interval will include 0. A 99% confidence interval will include 0.41. a. b. d) A 99.5% confidence interval will not include 0 ESTa A98% confidence interval will include 0Explanation / Answer
As the p-value here is 0.009 < 0.01, therefore the test is significant at 1% level of significance or 99% confidence interval but as 0.009 > 0.005, therefore it is not significant at 0.5% level of significance or 99.5% confidence.
Therefore a 99% confidence interval will not include 0 as there is a significant difference between the 2 proportions at that confidence but 99.5% will include 0 as there is not significant difference in proportion at that confidence.
Therefore a is the correct answer here.
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