Test the following hypotheses for a multinomial probability distribution by using the x^2 goodness of fit test.
Ho:Pa=0.2, Pb=0.4, Pc=0.4
Ha: The probabilities are not
: Pa=0.2, Pb=0.4, Pc=0.4
A sample of size 200 yielded 50in category A, 110 in category B, and 40 in category C.
Use a=0.01 and test to see whether the probabilities are as stated in Ho.
A: use the p-value approach. x^2=
P value:
Conclusion:
b. Repeat the test using the critical value approach
x2.01=
x2=
The statistical software output for this problem is :

Test statistics
= 33.75
P-value = 0.0000
Reject the null hypothesis
Critical value
= 9.211
Test the following hypotheses for a multinomial probability distribution by using the x^2 goodness of fit...
Video Test the following hypotheses by using the z goodness of fit test. H o: p A 0.2, p 8-04, and p c 0.4 Ha: The population proportions are not p A 0.2 , p B 0.4 , and p c 0.4 A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C. Use α-.01 and test to see whether the proportions are as stated in Ho . Use Table 12.4. a....
Test the following hypotheses by using the x goodness of fit test. HO: pA = 0.40, pB = 0.40, and pc = 0.20 Ha: The population proportions are not PA 0.40, PB 0.40, and Pc-0.20 A sample of size 200 yielded 40 in category A 140 in category B, and 20 in category C. Use a 1 and test to see whether the proportions are as stated n·。 (a) Use the p-value approach. Find the value of the test statistic....
11.2
You intend to conduct a goodness-of-fit test for a multinomial distribution with 7 categories. You collect data from 74 subjects. What are the degrees of freedom for the x2 distribution for this test? d.f. = Submit License Question 1. Points possible: 1 Unlimited attempts. You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho:PA = 0.2; PB = 0.3; pc = 0.3; PD = 0.2...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho : pA=0.3; pB=0.15; pC=0.15; pD=0.4 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 29 B 41 C 12 D 53 What is the chi-square test-statistic for this data? χ2= What is the P-Value? P-Value = For significance level alpha 0.05, what would be the conclusion of this hypothesis...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=0.4pA=0.4; pB=0.1pB=0.1; pC=0.2pC=0.2; pD=0.3pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency Residual A 50 B 10 C 16 D 33 What is the chi-square test-statistic for this data? χ2=χ2= For significance level alpha 0.1, what is the chi-square Critical Value? Critical Value = What would be the conclusion of this...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=0.3pA=0.3; pB=0.2pB=0.2; pC=0.2pC=0.2; pD=0.3pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 28 B 15 C 40 D 32 What is the chi-square test-statistic for this data? χ2=χ2= What is the P-Value? P-Value = For significance level alpha 0.005, What would be the conclusion of this hypothesis test? Fail to...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=.2pA=.2; pB=.2pB=.2; pC=.3pC=.3; pD=0.3pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 19 B 30 C 30 D 32 What is the chi-square test-statistic for this data? χ2=χ2= What is the P-Value? P-Value = For significance level alpha 0.01, What would be the conclusion of this hypothesis test? Reject the...
When using a chi-square goodness-of-fit test with multinomial probabilities, the rejection of the null hypothesis indicates that at least one of the multinomial probabilities is not equal to the value stated in the null hypothesis. O True False
You are conducting a
multinomial Goodness of Fit hypothesis test for the claim that the
4 categories occur with the following frequencies: H o : p A = 0.3
; p B = 0.1 ; p C = 0.1 ; p D = 0.5 Complete the table. Report all
answers accurate to three decimal places. Category Observed
Frequency Expected Frequency A 50 B 38 C 19 D 66 What is the
chi-square test-statistic for this data? χ 2 = What...
1A)
1B)
1C)
1D)
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: H:PA = 0.1; P = 0.3; Pc = 0.1; Pp = 0.5 Complete the table. Report all answers accurate to three decimal places. Observed Expected Category Frequency Frequency А 17 B 43 с 12 D 48 What is the chi-square test-statistic for this data? x = What is the P-value? P-Value = For significance...