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HYPOTHESIS TESTING EXERCISE The following exercise is designed to help you understand the nature of hypothesis testing. For each of the questions

HYPOTHESIS TESTING EXERCISE


The following exercise is designed to help you understand the nature of hypothesis testing. For each of the questions outlined below, state the null hypothesis, the alternative and interpret the results to indicate if you reject, or fail to reject, the null. For each question below, consider the following question:


What does this mean in terms of the alternative hypothesis?


Note that it may be helpful to broaden your horizons and look into other textbook chapters than we have already covered or external resources (e.g. texts, internet, etc).


Situation: Jack and Jill are walking up the hill to fetch a pail of water.


1.     Jack has noticed that as they walk up the hill, the air seems to be getting thinner. He collects air samples and measures these, he believes he will find a correlation between altitude and air density:


Null:



Alternative:



Finding: Correlation: .345     p < .001



Does this support the alternative hypothesis and what does this mean?



2.     Jack said that men are faster at walking up the hill because they are stronger. Jill said that women would be because females have higher endurance. They collected a sample of men and women and measured their walking speed up the hill. The results are:


What is the dependent variable:


What is the categorical variable:                    At how many levels:


What is the appropriate test:


Null:



Alternative:



INDEPENDENT SAMPLES T-TEST ON  SPEED   GROUPED BY     SEX

     GROUP        N    MEAN          SD

       (women) 2.000     24       4.164       1.260

       (men)      1.000     21       5.227       1.045

                                                                                               (P Value)

SEPARATE VARIANCES  T =     -2.613 DF = 23.3       PROB =      0.015

POOLED VARIANCES       T =     -2.435 DF =   33        PROB =      0.020


Does this support the alternative hypothesis and what does this mean?

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