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Approximately 10% of Americans are left-handed (we will treat this as a known population parameter).
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Question

Approximately 10% of Americans are left-handed (we will treat this

as a known population parameter). A study on the relationship between handedness and profession found that in a random sample of 105 lawyers, 16 of them were left-handed. Test the hypothesis that the proportion of left-handed lawyers differs from the proportion of left-handed Americans.




a) What is the sample statistic? Use correct notation.






b) Write the null and alternative hypothesis.






c) Find the test statistic, z. Round to two decimal places. Show your work.








d) What is the p-value? Use Statkey or your TI-84 calculator to find the p-value. Round to three decimal places.
 
 




e) At a 5% significance level, will you reject or fail to reject H0?
 
 






f) Write the conclusion in context.

Step-by-step answer

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