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To see if quitting result is significantly associated with the method used, which statistical inference procedure which should be used is the Chi-square test for two-way table.
A random sample of 584 smokers who attempted to quit smoking and were observed using the method they used to help themselves to achieve their goal was taken in order to determine whether there is a correlation between the percentage of people who successfully stop smoking and the method they used to do so (nicotine-patch or e-cigarettes). The percentage of subjects who successfully quit smoking after six months.
The t-test is not appropriate in this situation because the population mean is being tested by this statistic.
The percentage of participants who successfully quit smoking using either technique is the study's dependent variable.
The variable must be categorizable in order to do Chi-Square tests, and since the data can be arranged in a 2x2 table, all anticipated frequencies must be greater than 5.
The Goodness-to-Fit test seeks to determine if a population adheres to a particular theoretical model.
In this case, it's important to compare the percentage of smokers who were able to successfully stop using both methods and the percentage who were unsuccessful.
To learn more about Chi-Square tests
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