Question

In: Math

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...

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 = 0.15 ; p B = 0.4 ; p C = 0.3 ; p D = 0.15 Complete the table.

Report all answers accurate to three decimal places.

1)

category observed frequency expected frequency residual (chi-square) component
A 10
B 25
C 16
D 17

2) What is the chi-square test-statistic for this data?

χ 2 =

Significance level alpha is 0.005.

3) What is the p-value?

p-value =

4) What would be the conclusion of this hypothesis test?

A)Reject the Null Hypothesis

B)Fail to reject the Null Hypothesis

Report all answers accurate to three decimal places.

Solutions

Expert Solution


Related Solutions

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
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=0.25pB=0.25;  pC=0.25pC=0.25;  pD=0.1pD=0.1 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 34 36 B 11 22.5 C 15 22.5 D 30 9 What is the chi-square test-statistic for this data? χ2=χ2= 57.489 What is the P-Value? P-Value = 0 For significance level alpha 0.025, what would be the conclusion...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho: pA=0.4; pB=0.1; pC=0.3; pD=0.2 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 30 B 4 C 22 D 19 What is the chi-square test-statistic for this data? χ2= What is the P-Value? P-Value = For significance level alpha 0.005, What would be the conclusion of this hypothesis test?...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
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=0.2pB=0.2;  pC=0.1pC=0.1;  pD=0.3 CATEGORY OBSERVED FREQUENCY EXPECTED FREQUENCY RESIDUAL A 41 B 9 C 25 D 47 What is the chi-square test-statistic for this data? χ2 For significance level alpha 0.025, what is the chi-square Critical Value?
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
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 two decimal places, unless otherwise specified. Category Observed Frequency Expected Frequency A 43 B 39 C 26 D 32 What is the chi-square test-statistic for this data? (Round to two decimal places) χ2=χ2= What is the P-Value? (Round to four decimal places) P-Value = For significance level...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=0.1pA=0.1;  pB=0.4pB=0.4;  pC=0.3pC=0.3;  pD=0.2pD=0.2 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 23 B 43 C 33 D 12 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? Reject the...
1/You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
1/You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=0.25pA=0.25;  pB=0.4pB=0.4;  pC=0.1pC=0.1;  pD=0.25pD=0.25 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 20 B 33 C 4 D 26 What is the chi-square test-statistic for this data? (2 decimal places) χ2=( ) What is the P-Value? (3 decimal places) P-Value = ( ) For significance level alpha 0.025, What would...
You are conducting a Goodness of Fit hypothesis test for the claim that the 4 categories...
You are conducting a Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: H0H0 : pA=0.15pA=0.15; pB=0.3pB=0.3; pC=0.15pC=0.15; pD=0.4pD=0.4 Give all answers as decimals rounded to 3 places after the decimal point, if necessary. Complete the table: Category Observed Frequency Expected Frequency A 29 B 56 C 29 D 50 What is the chi-square test-statistic for this data? Test Statistic: χ2=χ2= For a significance of level alpha = 0.005, what is the...
You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with...
You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies: H o : p A = 0.25 ; p B = 0.25 ; p C = 0.1 ; p D = 0.4 Category Observed Frequency A 31 B 26 C 7 D 52 What is the chi-square test-statistic for this data? χ 2 =
You are conducting a multinomial hypothesis test ( α = 0.05) for the claim that all...
You are conducting a multinomial hypothesis test ( α = 0.05) for the claim that all 5 categories are equally likely to be selected. Category Observed Frequency A 23 B 17 C 13 D 19 E 5 What is the chi-square test-statistic for this data? χ2=χ2= What are the degrees of freedom for this test? d.f. = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal...
What is the goodness of fit test for the multinomial experiment? Explain it to your classmates...
What is the goodness of fit test for the multinomial experiment? Explain it to your classmates in detail providing examples. Remember, use your own words and examples.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT