Question

In: Statistics and Probability

Briefly describe what each of the following represent in hypothesis testing. (a) μ (b) P-value (c)...

Briefly describe what each of the following represent in hypothesis testing. (a) μ (b) P-value (c) ?̂ (d) n (e) ?̅ (f) p (g) α

Solutions

Expert Solution

(A) :- it is defined as the mean value for the population or true mean. It represents the entire population mean, which we used to test the hypothesis.

(B) P value is the probability value that we calculate for the hypothesis testing and based on the p value, we make our final decision in any hypothesis testing process.

(c) is used to denote the sample proportion. Sample proportion represents the number of favourable outcome for the given case in the hypothesis testing, divided by the total number of outcomes.

(d) n is used to denote the sample size. It tells us about the number of people or items included in the sample data set.

(e) :- it is defined as the mean value for the selected data set or we can say that it is the sample mean. It represents the sample mean, which we used to test the hypothesis.

(f) p is used to denote the population proportion. popupation proportion p is used while comparing the sample proportion in hypothesis testing.

(g) :- it is used to denote the given level of significance which is used in the hypothesis testing. The p value calculated in the hypothesis testing is compared with to make the final conclusion.


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