An experiment was conducted to test the effect of a new drug on a viral infection. After the infection was induced in 100 mice, the mice were randomly split into two groups of 50. Thecontrol groupreceived no treatment for the infection, while the other group received the drug. After a 30-day period, the proportions of survivors,p₁andp₂, in the two groups were found to be0.38and0.66, respectively.

Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

test statistic z=_______

rejection region z<______

(b) Use a 95% confidence interval to estimate the actual difference (p₁p₂) in the survival rates for the treated versus the control groups. (Round your answers to three decimal places.)

_____ to______

You may need to use the appropriateappendix tableto answer this question.

https://www.webassign.net/mendstat15/mendstat15_appendix_tables.pdf