For the following hypothesis test, determine the null and alternative hypothesis

Question

For the following hypothesis test, determine the null and alternative hypothesis. Also, classify test as two-tailed, left-tailed, or right-tailed. The mean length of imprisonment for motor-vehicle theft offenders in this country is 23.1 months. A hypothesis test it to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the rational mean of 23.1 months. Choose the correct null and alternative hypothesis below. A. H_0: mu > 23.1 months H_a: mu = 23.1 months B. H_0: mu = 23.1 months H_a: mu > 23.1 months C. H_0: mu = 23.1 months H_a: mu notequalto 23.1 months D. H_0: mu notequalto 23.1 months H_a: mu = 23.1 months E. mu = 23.1 months H_a: mu

Explanation / Answer

1. Since we are testing for equality in the hypothesis testing :

C is the right option

Ho: Mu = 23.1
Ha: Mu != 23.1

For a equality being tested( when we have test if some variable differs from XYZ), then

It is a Two tailed test
C is again right for the 2nd question

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