Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a α=0.05α=0.05 significance level. Category Observed Frequency Expected Frequency A...


Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a α=0.05α=0.05 significance level.




































Category

Observed


Frequency

Expected


Frequency

A


10
B16
C20
D8
E13


  1. Complete the table by calculating the expected frequencies.




  2. What is the chi-square test statistic?Round to three decimal places.

    χ2=χ2=




  3. What are the degrees of freedom?

    d.f.=




  4. What is the pp-value for this sample?Round to four decimal places.

    pp-value =




  5. Is the pp-value less than αα?




  6. Make a decision.





  7. Make a conclusion.



    • There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.

    • There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.

    • The sample data support the claim that all 5 categories are equally likely to be selected.

    • There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.






Jun 03, 2022
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