The executives of CareFree Insurance,Inc.feel that "a minority of our employees perceive an authoritarian management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis.Eighty employees rate the management as authoritarian.Using $\alpha$ = 0.05,the appropriate decision is ___.

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The null hypothesis is that the proportion of employees who perceive an authoritarian management style is 0.50. With 80 out of 200 employees perceiving this, the sample proportion is 0.40. A hypothesis test at $\alpha$ = 0.05 would likely lead to rejecting the null hypothesis that p = 0.50, as the sample proportion is significantly lower.

The Executives of CareFree Insurance,Inc α\alphaα = 005,the Appropriate Decision Is ___

The Executives of CareFree Insurance,Inc $\alpha$ = 005,the Appropriate Decision Is ___