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RSCH 665 – Assignment 7.2

RSCH 665 – Assignment 7.2

 

For each of the following, perform a thorough statistical analysis using a sound, step-by-step methodology with the appropriate hypothesis test and a conclusive, convincing conclusion.  Include screenshots from the statistical software that you use.

 

Chi-Square Goodness of Fit Test

 

A researcher has four prototypes for a small Unmanned Aerial System controller and wants to know which one that users prefer. The researcher asks 122 participants to use each controller and annotate which one they liked best. At the conclusion of the study, the researcher hopes to have a clearly identified prototype that is best preferred among the four. The table below represents the number of times each prototype was chosen by the participants.

 

Prototype A

Prototype B

Prototype C

Prototype D

14

35

62

11

 

 

Chi-Square Test for Independence

Part 1:

A researcher is interested in knowing if there are differences between the incidence of accidents among experienced and inexperienced pilots. They were able to collect 62 responses from a random number of pilots. Among them, 17 experienced pilots were in accidents, 26 were not; 12 inexperienced pilots were in accidents, 7 were not. Construct a contingency table. Run the Chi-Square test for independence using the calculator in the Module or use StatCrunch.

 

Part 2:

A researcher has found that pilots taking an over the counter antihistamine have poor reaction times. They performed an experiment on 22 pilots: 11 took the medication and 11 did not. Their reaction times to a command by Air Traffic Control was considered to be adequate or inadequate. Among those taking the medication, 8 were rated inadequate and 3 adequate. Among those not-taking the medication, 9 were rated adequate and only 2 inadequate. Construct a contingency table. Construct a contingency table. Run the Chi-Square test for independence using the calculator in the Module or use StatCrunch.

  • What is the problem with this research study? Is the Chi-Square test appropriate? Why or why not? What could the researcher do to potentially rectify the problem?

 

 

 

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