The confidence interval for five-year survival after Stage I breast cancer in a large sample of women living in Texas is 87.5% to 93.3%, at a p <.05 level of significance. What does this mean? (Select all that apply.)
a. Texan women in the near future will be likely to have about a 90% chance of living five years after they are newly diagnosed with Stage I breast cancer.
b. Women in Texas with Stage I breast cancer have a 95% chance of 90% survival, over a five-year period.
c. Women in Texas with Stage I breast cancer have an 86% chance of five-year survival.
d. In any sample of women in Texas newly diagnosed with Stage I breast cancer, there is about a 95% chance that their collective survival five years from now will be around 90%.
e. Women in Texas can feel 95% confident that they will survive Stage I breast cancer.
ANS: A, D
To determine how closely the sample mean approximates the population mean, the standard error of the mean is used to build a confidence interval. For that matter, a confidence interval can be created for many statistics, such as a mean, proportion, and odds ratio. At the p <.05 level, it merely signifies that there is a window of possibilities, and future samples have a 95% chance of falling within that window.
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