The conclusion statement of the hypothesis is to reject the null hypothesis and accept the alternative hypothesis and the z score of -121.70 is in the rejection area
How to calculate the hypothesis?
In order to calculate, the hypothesis test we have to make inferences about the population data. It is also used to check if the results of an experiment are valid.
Here we have given that an analyst wants to know if the proportion of smokers in the population is the same in USA and Canada. in order to test this hypothesis she collects data from individuals, both smokers and non-smokers, living in these countries. your task is to help the analyst perform her hypothesis test. in order to do this you need to compute various statistics using excel. use 5% level of significance.
Here we have the following sample of data,
0.17 0.06 0.16 0.12 0.40
Through the given samples, we have identified the following values,
Count, N: 5
Sum, Σx: 0.91
Mean, μ: 0.182
Variance, σ2: 0.013376
Then the hypothesis test is written as,
The critical value (cutoff point) is 2.132. In left-tail hypothesis testing, any z score less than the critical value will be rejected. Since -121.70 is less than 2.132, we reject the null hypothesis. We accept the alternative hypothesis.
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