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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.

You can as well check out (Solution) MATH225 Week 7 Assignment Conducting a Hypothesis Test for Mean – Population Standard Deviation Known P Value Approach

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%)


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