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At the 6% significance level, test the claim that more than 75% of first year students...

At the 6% significance level, test the claim that more than 75% of first year students plan to return to college in the Fall. A simple random sample of 45 students found that 39 plan to return in the Fall.

Math   Statistics-And-Probability   
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Answer #1

Given : n=45 , X=39 , The estimate of the sample proportion is ,

Hypothesis: VS  

The test statistic is ,

The critical value is ,

; From Z-table

Decision : Here , the value of the test statistic lies in the rejection region.

Therefore , reject the null hypothesis.

COnclusion : Hence , there is sufficient evidence suport the cliam that the more than 75% of first year students plan to return to college in the fall.

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