1. In a hypothesis testing problem, it is possible that both the null and altern
ID: 3153999 • Letter: 1
Question
1. In a hypothesis testing problem, it is possible that both the null and alternative hypotheses are true. True or False? Why?
2. In a hypothesis testing probelm, it is possible that niether the null and the hypothesis are true. True or False? Why?
3. In hypothesis testing, the null hypothesis will never be accepted. True or False? Why?
4. “Mary got an A in Psy” and “Mary got a B in Psy” is a valid pair of null and alternative hypotheses. True or False? Why?
5. “Aging has no eect on cognitive skills” and “Aging has some eect on cognitive skills” is a valid pair of null and alternative hypotheses. True or False? Why?
6. With a particular set of sample data, we are not able to prove either H0 or H1 with100% certainty. True or False? Why?
Explanation / Answer
answer 1) False,
in hypothesis testing we want to test some statement of equality which is null hypothesis and statement against the null hypothesis is alternative hypothesis.
so only one statement or hypothesis out of two (null hypothesis and alternative hypothesis) will be true because null and alternative hypothesis are against each other. null and alternative hypothesis are complementry statment
it is not possible that both the null and alternative hypotheses are true
answer 2) False
same as answer of question 1) so only one statement or hypothesis out of two (null hypothesis and alternative hypothesis) will be true because null and alternative hypothesis are against each other. another will be false.
null and alternative hypothesis are complementry statment
it is not possible that niether the null and the hypothesis are true
answer 3) true
Statisticians will never accept the null hypothesis, we will fail to reject.
answer 4) False,
as stated in answer of question 1) in hypothesis testing we want to test some statement of equality which is null hypothesis and statement against the null hypothesis is alternative hypothesis.
here there is not testing of statement of equality and also alternative hypothesis is not the complementry statment of null hypothesis
answer 5) False
null hypothesis H0:Aging has no eect on cognitive skills
alternative hypotheis H1:Aging has some eect on cognitive skills
alternative hypotheis is not complementry of null hypotheis. It should be aging has effect on cognitive skills
answer 6) True,
becasue we do test by taking sample from the population.When we estimate a population parameter e.g. mean from a random sample. so we are tnot able to prove either H0 aor H1 with 100% certaintity.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.