A TV Design team showed 40 children prototype shows for two new television programs for children. After they had seen both shows, each child indicated which show he or she liked better. Their choices are shown here. Conduct a chi-square test for goodness of fit. Show X Show Y 23 17 A.  What are the null AND alternative hypotheses?  B.  What are the expected values in each cell?  C.  What are the correct degrees of freedom AND what is X2crit? Use  = 0.05. :  D.  What is X2obt? What do you conclude about the null hypothesis?

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A TV Design team showed 40 children prototype shows for two new television programs for children. After they had seen both shows, each child indicated which show he or she liked better. Their choices are shown here. Conduct a chi-square test for goodness of fit.

Show X

Show Y

23

17


A.  What are the null AND alternative hypotheses? 
B.  What are the expected values in each cell? 
C.  What are the correct degrees of freedom AND what is X2crit? Use  = 0.05. : 
D.  What is X2obt? What do you conclude about the null hypothesis? 
E. What should we expect to see in the population regarding the preference for the shows? In other words, interpret the results (for a reporter):  

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