Question

Could you please show me the steps on how you did this? I claim that more...

Could you please show me the steps on how you did this?

I claim that more than 70% of my students pass my class. You do not believe me, so you do a records request to the college and find out that 85 out of 125 of my students passed my class last semester. Test at the 0.01 level of significance that my proportion of passing students is not really 70%.

Thank you!

Math   Statistics-And-Probability   
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Answer #1

Given : n=125 , X=85

The estimate of the sample proportion is ,

The null and alternative hypothesis is ,

(Claim)

The test is two-tailed test.

The test statistic is ,

The critical value is ,

; From Z-table

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

Therefore , fail to reject the null hypothesis.

Conclusion : There is not sufficient evidence to support the claim that the proportion of passing students is not really 70%.

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