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

u are conducting a multinomial hypothesis test ( = 0.05) for the claim that all 5 categories are equally likely to be selected. a) Complete the table below.Report all answers accurate to four decimal places. But retain unrounded numbers for future calculations.

Category Observed Frequency Expected Frequency Squared Pearson Residual
A 7
B 11
C 15
D 22
E 9

b) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) 2= What are the degrees of freedom for this test? d.f.= c) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = d) The p-value is...

  • less than (or equal to)
  • greater than

This test statistic leads to a decision to...

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

e) 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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