You are conducting a Goodness of Fit hypothesis test for the claim that the population data values are not distributed as follows: FA = 13.15; 393 = 0.15; 133 = 0.4; on = '13 Give all answers as decimals rounded to 3 places after the decimal point, if necessary. [a]: What are the hypotheses for this test? '12:? H0: The observed and expected frequencies of the 4 categories are dependent H1: The observed and expected frequencies of the 4 categories are independent {III- Hmp = [115,333 = {115,113 = 031,333 = 0.3 H1: at least one of these proportions is different than what is given in the null hypothesis '32:? Hg: The observed and expected frequencies of the 4 categories are independent H1: The observed and expected frequencies of the 4 categories are dependent C3 Hmp = [115,333 = [115,113 = 04,335. = 0.3 H1: all of these proportions are different than what is given in the null hypothesis [b] The observed frequencies from a random sample are given in the table below. Find the expected frequencies for this sample, and enter them in the table. Observed Expected Category Frequency:r Freq uencfllr 2f} 4 29 4D BEIII UUHUU UUUUU [c]: What is the chi-square test-statistic for this data? Test Statistic: x2 = l l [cl] For a significance of level alpha = [3.01, what is the chi-square critical value? Critical Value: X2 = ll (e) What would be the decision of this hypothesis test? O Reject Ho O Fail to reject Ho (f) State the conclusion in nontechnical terms. There is sufficient evidence to support the claim. There is not sufficient evidence to support the claim. O There is sufficient evidence to warrant rejection of the claim. There is not sufficient evidence to warrant rejection of the claim. Remember to round all answers to 3 places after the decimal point, if necessary