You are conducting a multinomial hypothesis test for the claim that all 5 categories are equally lik

meiprate81w

meiprate81w

Answered question

2022-03-08

You are conducting a multinomial hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table.
 Category  Observed Frequency  Expected Frequency  Squared Pearson Residual  A 18 B 10 C 15 D 17 E 17
What is the chi-square test-statistic for this data?
χ2=
Report all answers accurate to three decimal places.

Answer & Explanation

RI5N6mv3

RI5N6mv3

Beginner2022-03-09Added 3 answers

The given observed frequencies are as follows:
 Category  A  B  C  D  E  Observed Frequency 1810151717
Calculations:
The expected frequencies are as follows:
  Expected Frequency  =  Observed Frequency  n=775=15.4
Completing the table:

 Category  Observed Frequency  Expected Frequency  Squared Pearson Residual(OiEi)Ei A 1815.4(1815.4)215.4=0.4390 B 1015.4(1015.4)215.4=1.8935 C 1515.4(1515.4)215.4=0.0104 D 1715.4(1715.4)215.4=0.1662 E 1715.4(1715.4)215.4=0.1662

Izabella Spears

Izabella Spears

Beginner2022-03-10Added 1 answers

Calculate the chi-square test statistic is as follows:
χ2=(OiEi)Ei
=0.4390+1.8935+0.0104+0.1662+0.1662=2.6753
Therefore, the chi-square test statistic is 2.6753.

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