many fundraisers ask for donations using email and text messages. a paper describes an experiment to investigate whether the proportion of people who make a donation when asked for a donation by email is different from the proportion of people who make a donation when asked for a donation in a text message. in this experiment 1.6% of those who received and opened an email request fo a donation and 7.8% of those who received a text message asking for a donation actually made donation. assume that the people percentages are based on sample sizes of 2000 the actual sample sizes in the experiment were much larger. let p1 be the proportion who make a donation after receiving an email and p2 be the proportion who make donation after receiving a text message.

b. is there convincing evidence that the proportion who make a donation is not the same for the two different methods? carry out a hypothesis test using a significance level of 00.05.

find the test statistic and P-value. round your test statistic to two decimal places and your P-value to four decimal places.

c. use a 90% confidence interval to estimate the difference in the proportions who donate for the two different treatments. use P1-P2. round answers to four decimal places.