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The executives of CareFree Insurance, Inc. feel that "a majority of our employees perceive a participatory management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis at the 0.05 level of significance. Eighty employees rate the management as participatory. The appropriate decision is __________.

Respuesta :

Answer:

Step-by-step explanation:

[tex]H_0: p = 0.5\\H_a : p >0.5[/tex]

(One tailed test at 5% significance level)

Sample size =200 and sample proportion =[tex]\frac{80}{200} =0.40[/tex]

Std error of p = [tex]\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.4(0.6)}{200} } \\=0.0346[/tex]

Test statistic = p diff/std error = -2.89

p value = 0.001926

So we reject H0 and accept alternate hypothesis.

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