Question
A researcher claims that the proportion of smokers in a certain city is less than 20%. To test this claim, a random sample of 700 people is taken in the city and 150 people indicate they are smokers.
The following is the setup for this hypothesis test:
H0:p=0.20
Ha:p<0.20
In this example, the p-value was determined to be 0.828.
Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)
Ans:
The decision is to fail to reject the Null Hypothesis.
The conclusion is that there is not enough evidence to support the claim.
Question
A researcher claims that the incidence of a certain type of cancer is less than 5%. To test this claim, the a random sample of 4000 people are checked and 170 are determined to have the cancer.
The following is the setup for this hypothesis test:
H0:p=0.05
Ha:p<0.05
In this example, the p-value was determined to be 0.015.
Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)
Select the correct answer below:
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