Cam someone tell me if my answers from 11 and 12 are right please? Which method

Question

Cam someone tell me if my answers from 11 and 12 are right please?

Which method is not a method for making decisions about hypothesis tests? Critical region Confidence Interval OC curve p-value What is the correct way to reach a decision regarding a hypothesis test based on a confidence interval? Reject the null hypothesis if the test statistic falls within the confidence interval. Reject the null hypothesis if the hypothesized value for the parameter being tested falls within the confidence interval. Fail to reject the null hypothesis if the test statistic falls within the confidence interval. Fail to reject the null hypothesis if the hypothesized value for the parameter being tested falls within the confidence interval.

Explanation / Answer

Que 11] your selected answer is wrong. All the following four options are correct. All of them are methods to making the decisions about hypothesis testing.

Critical Region: is the region of values that corresponds to the rejection of the null hypothesis at some chosen probability level. Is also called as rejection region, the set of values of the test statistic for which the null hypothesis is rejected.

Confidence Interval: is a range of values so defined that there is a specified probability that the value of a parameter lies within it. Confidence Interval does not talking about hypothesis testing. If the confidence interval does not contain the null hypothesis value, the results are statistically significant.

OC curve: is a method of making decision about hypothesis test because, The OC Curve is used in sampling inspection. It plots the probability of accepting a batch of items against the quality level of the batch. It tell us wheather lot is accepted or not.

P-value: It help us to determine the significance of our results. Smallest value indicates strong evidence about rejection of null hypothesis.

Que 12]

Here also your selected option is wrong. Last option is correct criteria to reach the decision about hypothesis test on confidence interval. If the confidence interval does not contain the null hypothesis value, the results are statistically significant.

thank you....

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