A 95 confidence interval for the proportion of men that have ever dozed off while driving is 007 to 0.14. For women, a 95% confidence intervAL for the proportion that have dozed off while driving is 0.19 to 0.25. Assume both intervals were computed using larg random samples
What conclusion can be made about the two population proportions that have dozed off while driving?
My answer: There is a difference in the two populations, which shows that more women have dozed than men
To determine what conclusion can be made about the two population proportions that have dozed off while driving, we need to compare the confidence intervals of the proportions for men and women.
First, let's interpret the confidence intervals given. For men, the 95% confidence interval is from 0.07 to 0.14. This means that if you were to take multiple random samples of men from the population and calculate the proportion of men who have dozed off while driving in each sample, approximately 95% of these confidence intervals would contain the true population proportion.
Similarly, for women, the 95% confidence interval is from 0.19 to 0.25. Again, this means that if you were to take multiple random samples of women from the population and calculate the proportion of women who have dozed off while driving in each sample, approximately 95% of these confidence intervals would contain the true population proportion.
Now, let's compare the two intervals. Since the confidence interval for men, 0.07 to 0.14, does not overlap with the confidence interval for women, 0.19 to 0.25, we can conclude that there is evidence to suggest a difference in the proportions of men and women who have dozed off while driving.
Based on the given information, we can say that the proportion of women who have dozed off while driving is likely higher than the proportion of men.