Question

In: Math

As a physical education teacher, you want to try a new way of teaching students to...

  1. As a physical education teacher, you want to try a new way of teaching students to run in order to improve physical fitness scores. You plan to try the new plan with one class and compare their mean score with fitness scores across the state.
    1. What are your alternative and null hypotheses for a non-directional test?
    2. What are your alternative and null hypotheses for a directional test?
    3. Would you use a non-directional or a directional test? Why?
    4. For your choice of test, what are the two possible outcomes of correct decisions?
    5. What are the outcomes of Type I and Type II errors?
    6. Draw a decision table with the four possible outcomes written on it.
    7. Select a level of alpha and discuss why you chose that level.
    8. Draw a curve that shows your null hypothesis for the test you chose and alpha level.

Solutions

Expert Solution

(a) null hypothesis:  class=state

alternative hypothesis:  classstate (diectional)

(b1) null hypothesis:  class=state

alternative hypothesis:  class>state (diectional)

(b2) null hypothesis:  class=state

alternative hypothesis:  class<state (diectional)

(c) non-directional test should be used as there is less interference/bias to reject the null hypothesis

(d) Reject the null hypotheis when it is false

Accept the null hypothesis when it is true

(e) Type I error:Reject null hypothesis hen it is true

Type II error: Accept the null hypothesis when it is false


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