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150 of 300 WCC graduates transferred to a four year college. Is this above the national...

150 of 300 WCC graduates transferred to a four year college. Is this above the national average of 50%? Alpha = 5%.
Math   Statistics-And-Probability   
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Answer #1

Giveb : n=300 , X=150

The estimate of the sample proportion is ,

The null and alternative hypothesis is ,

The test is one-tailed test.

The test statistic is ,

The critical value is ,

; From Z-table

Decision : Here , teh value of the test statistic does not lies in the rejection region.

Therefore , fail to reject the null hypothesis.

Conclsuion : Hence , there is not sufficient evidence to support the claim that the national average is above 50%.

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