IMathAS-libretexts

6.27 Public Option, Part III: Exercise 6.13 presents the results of a poll evaluating support for the health care public option plan in 2009. 70% of 819 Democrats and 42% of 783 Independents support the public option.

(a) Calculate a 95% confidence interval for the difference between (p_D - p_I) and interpret it in this context. We have already checked conditions for you.
The confidence interval is: ( %, %) (please round to the nearest percent) Interpret the confidence interval in context:

We can be 95% confident that the difference in population proportions is contained within our interval
95% of differences in proportions are contained within this interval
We can be 95% confident that the difference in sample proportions is contained within our interval

(b) True or false (Explain): If we had picked a random Democrat and a random Independent at the time of this poll, it is more likely that the Democrat would support the public option than the Independent.

false
true

License