What are the appropriate statistical hypotheses

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Reference no: EM131118184

Part A: Fill in the blank (1-26)

1) The purpose of hypothesis testing is to aid the manager or researcher in reaching a (an) __________________ concerning a (an) _____________ by examining the data contained in a (an) _______________ from that ____________________.

2) A hypothesis may be defined simply as __________________________________________.

3) There are two statistical hypotheses. They are the _________________ hypothesis and the _________________ hypothesis.

4) The statement of what the investigator is trying to conclude is usually placed in the _________________ hypothesis.

5) The _____________ hypothesis is the hypothesis that is tested.

6) If the null hypothesis is not rejected, we conclude that the alternative _________________.

7) If the null hypothesis is not rejected, we conclude that the null hypothesis _____________.

8) A Type I error occurs when the investigator _____________________________.

9) A Type II error occurs when the investigator _____________________________ .

10) The probability of committing a Type I error is designated by the symbol ____________, which is also called the ___________________.

11) Values of the test statistic that separate the acceptance region from the rejection are called _________________ values.

12) The following is a general statement of a decision rule: If, when the null hypothesis is true, the probability of obtaining a value of the test statistic as____________ as or more _______ than that actually obtained is less than or equal to , the null hypothesis is____ _________.  Otherwise, the null hypothesis is ______________________ .

13) The probability of obtaining a value of the test statistic as extreme as or more extreme than that actually obtained, given that the tested null hypothesis is true, is called ____________ for the ________________test.

14) When one is testing H0: µ= µ0 on the basis of data from a sample of size n from a normally distributed population with a known variance of σ2 , the test statistic is ____________________________________________________.

15) When one is testing H0: µ= µ0 on the basis of data from a sample of size n from a normally distributed population with a unknown variance, the test statistic is ___________________________________________________.

16) The null hypothesis contains a statement of __________________________________.

17) The statement  µ ≥  0 is an inappropriate statement for the ____________ hypothesis.

18) The rejection region consists of those values of the ______________ that will cause rejection of the null hypothesis.

19) The null hypothesis and the alternative hypothesis are ____________ of each other.

20) Given  ,  H0: µ= µ0, then Ha : ___________________________________ .

21) Given H0: µ ≤ µ0, then Ha : ___________________________________ .

22) Given H0: µ ≥ µ0, then Ha : ___________________________________ .

23) A statement of what you wish to conclude goes in the ______________.

24) A market analyst believes that more than 30% of the adults in a certain area regularly read a certain magazine.  The analyst wishes to conduct a hypothesis test to see whether this belief will be supported.  The appropriate statistical hypotheses are: __________________.

25) Given: H0: µ ≥ 50;  Ha: µ < 50; α  = 0.05.  A simple random sample of size 64 is drawn from a non-normally distributed population.   X‾= 45, s2 = 256.  The computed value of the test statistic is _________________, which is compared for significance with a value from the ____________________ distribution.

26) Given: H0: µ= 100;  Ha: µ ≠ 100;   α = 0.03;  computed z = 2.25,  p = 0.0244.  The null hypothesis should reject because _______.

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Reference no: EM131118184

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