Data is collected to perform the following the hypothesis test: H0: µ = 5.5 Ha: µ ? 5.5. The sample mean of th

Question

Data is collected to perform the following the hypothesis test:

H0: µ = 5.5
Ha: µ ? 5.5.

The sample mean of the data is y = 5.4 and the P-value is .1034. Select the choice below that gives the proper interpretation of this P-value.

a) If the null hypothesis is false, then the probability of obtaining a sample mean closer to 5.5 than 5.4 is .1034.

b) The probability that the sample mean y differs significantly from 5.5 is .8966.

c) The probability that the null hypothesis H0 is true is .8966.

d) The probability that we have made a mistake is .1034.

e) The probability that the null hypothesis H0 is true is .1034.

f) If the mean µ does not differ significantly from 5.5 (that is, if the null hypothesis is true), then the probability of obtaining a sample mean y as far or farther from 5.5 than 5.4 is .1034.

g) The probability that the alternative hypothesis Ha is false is .1034.

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Maya 1 week 2021-09-15T00:10:27+00:00 1 Answer 0

Answers ( )

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    2021-09-15T00:11:36+00:00

    Answer:

    option f is right

    Step-by-step explanation:

    Given that data is collected to perform the following hypothesis test.

    H_0: \mu = 5.5\\H_a: \mu >5.5

    (right tailed test)

    Sample mean = 5.4

    p value = 0.1034

    when p value = 0.1034 we normally accept null hypothesis.  i.e chances of null hypothesis true is  the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct

    f) If the mean µ does not differ significantly from 5.5 (that is, if the null hypothesis is true), then the probability of obtaining a sample mean y as far or farther from 5.5 than 5.4 is .1034.

    .

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