You are conducting a Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:

 $\displaystyle {H}_{{0}}$ : $\displaystyle {p}_{{A}}={0.2}$;  $\displaystyle {p}_{{B}}={0.4}$;  $\displaystyle {p}_{{C}}={0.3}$;  $\displaystyle {p}_{{D}}={0.1}$ 

Give all answers as decimals rounded to 3 places after the decimal point, if necessary.

Complete the table:

Category	Observed Frequency	Expected Frequency
A	43
B	56
C	51
D	7

What is the chi-square test-statistic for this data?
Test Statistic: $\displaystyle \chi^{{2}}=$

For a significance of level alpha = 0.05, what is the chi-square critical value?
Critical Value: $\displaystyle \chi^{{2}}=$

What would be the decision of this hypothesis test?

Remember to round all answers to 3 places after the decimal point, if necessary.