A medical research group is recruiting people to complete short surveys about their medical history. For example, one survey asks for information on...

A medical research group is recruiting people to complete short

surveys about their medical history. For example, one survey asks for information on a person's

family history in regards to cancer. Another survey asks about what topics were discussed during

the person's last visit to a hospital. So far, as people sign up, they complete an average of just

4 surveys, and the standard deviation of the number of surveys is about 2.2. The research group

wants to try a new interface that they think will encourage new enrollees to complete more surveys,

where they will randomize each enrollee to either get the new interface or the current interface.

How many new enrollees do they need for each interface to detect an eect size of 0.5 surveys per

enrollee, if the desired power level is 80%?

From the information, 0' = 22,5“: 2 0.05, ,6 = 0.20, 0.5 The required sample size is esleulsted ss, 51 (Ear: + 3s): 51= 2-21 (30.05;: + 3020 )10.51 _ 2.21(1.96+0.8416)1 0.51=151.95 2- Thus,...