The Midwest Organization of Retired Oncologists and Neurolog

The Midwest Organization of Retired Oncologists and Neurologists (M.O.R.O.N.) has recently taken flack from some of its members regarding the poor choice of the organization’s name. The association bylaws require that more than 60% of the organization must approve a name change. Rather than convene a meeting, it is first desired to use a sample to determine if a meeting is necessary. A random sample of 50 of M.O.R.O.N.’s members were asked if they want M.O.R.O.N. to change its name. Forty-five of the respondent’s said ”yes. the data was entered into statistix and the following output was generated

One sample proportion test

Sample size 50

successes 40

proportion .8000

null: p=0.6

alternative: p>0.6

is the sample of n=50 large enough to use this inferential procedure?

a. yes since the central limit theorem works whenever proportions are used

b. yes since both np0=30>15 and nq0=20>15

c. yes since n>30

d. no

Solution

The sample of n=50 is large enough to use this inferential procedure, since the central limit theorem works whenever proportions are used.