Question

Determine whether the following llustrate a one-sided altemative hypothesis or a two-sided alternative hypothesis. 1.Ho: EM- Y, 0 vs. H1: Em>>Y. 0. This example lustrates a 2. Ho: EM.,Y, o vs. Hti Em s #x 0, This example llustrates a 3, Ho: EM.,Y, vs. MpE(Y) * #x0. This example illustrates a altenative hypothesis alternative hypothesis. alternative hypothesis Y altermative hypothesis states the value is olther greater than or less than py o but not both, whereas a alternative hypothesis simply states ??.? the value is not equal to ?. 0. Match the hypothesis testing terminology to its definition. 1. The probability that the test correctly rejects the null hypothesis when the alternative is true. 2. The value of the statistic for which the test just rejects the null hypothesis at the given' significance level. 3. The prescribed rejection probability of a statistical hypothesis test when the null hypothesis is true. 4. The probability that the test incorrectly rejects the null hypothesis when it is true.

Answer 1

1. This example illustrates a one-sided alternative hypothesis Because the given alternative hypothesis states the value in one direction.

2. This example illustrates a one-sided alternative hypothesis because the given alternative hypothesis states the value strictly in one direction.

3. This example illustrates a two-sided alternative hypothesis because the given alternative hypothesis states that value is not equal to the given null hypothesis value.

The one -sided alternative hypothesis states the value is either greater than or less than uY,0 but not both , whereas a two-sided alternative hypothesis simply states the value is not equal to uY,0.