Question

A ????2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. close to 0. B. close to 1. C. a large negative number. D. exactly 1.96 E. a large positive number.

Answer 1

B close the one because:
-1=Strong -0.5=Moderately Strong 0=Weak 0.5=Moderately Strong 1=Strong

Answer 2

Using the concept of hypothesis test, it is found that the correct option can be:

C. a large negative number(if we are testing if the mean is less than a value).

E. a large positive number(if we are testing if the mean is more than a value).

• When we are testing a hypothesis, we find a critical value.
• If we have the standard deviation for the population, the z-statistic is used.
• If the absolute value z-statistic calculated from the sample is less than the critical value, there is not strong evidence in favor of the alternative hypothesis.
• Otherwise, if it is more than the critical value, there is strong evidence in favor of the null hypothesis.
• Thus, large numbers are desired, and options C and E can be correct, depending on what the alternative hypothesis is.

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