• When there are calculations,show formulas and ALL OF your work and CIRCLE or HIGHLIGHTyour final answer.
• Be sure to show hypotheses in the proper format to denote proportion or means (e.g.,

H₀: =10)

• If noted, round based on the instructions in each question

No excel allowed for p-value or anything

A researcher notices that residents in memory care seem to fall less at night in private rooms than in semi-private rooms. To assess the validity of this impression, the researcher decides to analyze the average falls for a random sample of 36 memory care residents in private rooms versus a random sample of 36 memory residents in semi-private rooms. The records indicate that 18 residents fell during the study period in private rooms while 27 residents from semi-private rooms fell.

1. Do residents fall less at night in memory care private rooms than residents in semi-private?

1. Set up the null and alternative hypotheses.

1. Calculate the test statistic.

1. State the p-value.

d)Using alpha=.05, should you reject or fail to reject the null hypothesis?

1. Interpret your results

1. Develop a99%confidence interval for the difference in the proportion of falls for residents in private versus semi-private rooms.

1. Interpret your results.