Lawrence G. Hrebiniak has studied the relationship between
hospital size (measured by number of beds) and degree of professionalism (measured by man-hours of work done by certain
professional categories). His work appears in The Academy of
Management Journal, December 1976, in an article entitled "Size
and Staff Professionalism." He reports the following correlations between size and staff professionalism.
The number of public hospitals was 47, private (profit) hospitals
was 76, and private (nonprofit) hospitals was 172.
{a) Test whether each of the calculated correlations implies
that H0 : p = O should be rejected in favor of H1 : p > O
at significance level a = 0.05.
{b) Find 95% confidence intervals for the theoretical correlation coefficients.