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Explaining the Z test for proportion

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A researcher believes that the percentage of people who exercise in California is greater than the national exercise rate. The national rate is 20%. The researcher gathers a random sample of 120 individuals who lives in CA and finds that the number who exercises regularly is 31 out of 120.
a. What is X2 obt?
b. What is the df for this test?
c. What is X2 cv?
d. What conclusion should be drawn from these results?

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Solution Summary

This solution is comprised of a detailed explanation Z test for proportion of one sample. This solution mainly discussed the 4 parts of the above question with calculations shown in excel. This solution explained the questions with interpretation of the output of a Z test for the proportion of one sample.

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Hypothesis Testing & Confidence Interval explained in this answer

A medical researcher estimates that no more than 55% of the U.S. adults eat breakfast every day. In a random sample of 250 U.S. adults, 56.4% say that they eat breakfast every day. At alpha =.01, is there evidence to reject the researcher's claim ?

A) Test Statistic

B) Graph

C) Conclusion

D) Construct a 99.9% C.I. for the proportion of adults who eat breakfast .

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