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Question: you are conducting a multinomial hypothesis test 005...

Question details

You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected.

Category Observed
Frequency
A 20
B 15
C 15
D 12
E 18



What is the chi-square test-statistic for this data?
χ2=χ2= Incorrect

What are the degrees of freedom for this test?
d.f. = Correct

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = Incorrect


The p-value is...

  • less than (or equal to) αα
  • greater than αα

Correct



This test statistic leads to a decision to...

  • reject the null
  • accept the null
  • fail to reject the null
  • accept the alternative

Correct



As such, the final conclusion is that...

  • 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.
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