The meaning of 95% confidence. Which of the following best explains the meaning of 95% confidence in the interval given in the last question? Check only one. 95% of the population is in the interval. The methodology used to find this interval is correct 95% of the time. There is a 95% chance that the population mean is in the interval. 3. 3.128 Who Smokes More: Male Students or Female Students? Data 1.1 includes lots of information on a sample of 362 college students. The complete dataset is available at StudentSurvey. We see that 27 of the 193 males in the sample smoke, while 16 of the 169 females in the sample smoke. We will investigate the difference in proportions of male and female students who smoke. a. Define the parameters for this difference of proportions. b. Write the value of the sample statistic that estimates the difference of proportions, using correct notation. c. Use Statkey to find a 99% bootstrap confidence interval using percentiles. Include a screen shot showing the percentiles, and write the confidence interval here: Do not look for a data set. Remember that counts can be entered manually in Statkey. See class notes. d. Find a 95% bootstrap confidence interval using margin of error, based on the standard error estimate from your bootstrap distribution in the previous step (show calculations). e. Refer to the 99% confidence interval. Is it plausible that the proportions of all male and female students who smoke is the same? Justify your answer based on the confidence interval. f. If you answered No in the previous question, which group has a higher proportion? If you answered Yes, write N/A here. Sections 3.1-3.4 MATH 1342 Page 2 of 2