A study was conducted in which rats showed compassion by freeing a trapped rat. In the study, all Six of the Six female rats showed compassion by freeing the trapped rat while 17 of the 24 male rats did so. The data are available in the dataset CompassionateRats. Dataset: statistics,unlocking the power of data 3rd gen

a) Give the correct notation for the difference in proportion of rats showing compassion, between female rats and male rats (proportion of female rats - proportion of male rats).

__________________________ Let group 1be the female rats and group 2be the male rats.

(b) Use the results of this study to give the best estimate for the parameter described in part (a). Round your answer to three decimal places. Best estimate =_____________________

(c) Use StatKey or other technology to estimate the standard error.¹ Use 1000 samples. Round your answer to three decimal places. Standard error =___________________ ¹In practice we should raise a caution here, since the proportion for female rats will be p^=1 for every bootstrap sample.

(d) Give the 95% confidence interval. Round your answers to two decimal places. The 95% confidence interval is___________ to ____________________