Question

Consider a multinomial experiment with n = 307 and k = 4. The null hypothesis to...

Consider a multinomial experiment with n = 307 and k = 4. The null hypothesis to be tested is H0: p1 = p2 = p3 = p4 = 0.25. The observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square tableor F table)

Category 1 2 3 4
Frequency 85 58 89 75

b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

Homework Answers

Answer #1

any query, please ask

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Consider a multinomial experiment with n = 245 and k = 4. The null hypothesis...
1. Consider a multinomial experiment with n = 245 and k = 4. The null hypothesis to be tested is H0: p1 = p2 = p3 = p4 = 0.25. The observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square table or F table) Category 1 2 3 4 Frequency 72 45 60 68 Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and...
Consider a multinomial experiment with n = 350 and k = 3. The null hypothesis is...
Consider a multinomial experiment with n = 350 and k = 3. The null hypothesis is H0: p1 = 0.60, p2 = 0.30, and p3 = 0.10. The observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square table or F table) Category 1 2 3 Frequency 216 100 34 a. Choose the appropriate alternative hypothesis. All population proportions differ from their hypothesized values. At least one of the population proportions differs...
Consider a multinomial experiment with n = 275 and k = 4. The null hypothesis to...
Consider a multinomial experiment with n = 275 and k = 4. The null hypothesis to be tested is H0: p1 = p2 = p3 = p4 = 0.25. The observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square table or F table) Category   1   2   3   4 Frequency   67   55   75   78 a. Choose the appropriate alternative hypothesis. Not all population proportions are equal to 0.25. All population proportions differ...
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=0.4pA0.4;  pB=0.25pB0.25;  pC=0.25pC0.25;  pD=0.1pD0.1 Complete the table. Report all answers accurate to two decimal places, unless otherwise specified. Category Observed Frequency Expected Frequency A 39 B 18 C 30 D 7 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 =  
You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the...
You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=0.1; pB=0.5; pC=0.1;  pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 17 B 25 C 6 D 16 What is the chi-square test-statistic for this data? χ2= What is the P-Value? P-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=0.1pA0.1;  pB=0.5pB0.5;  pC=0.3pC0.3;  pD=0.1pD0.1 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 23 B 54 C 37 D 8 What is the chi-square test-statistic for this data? 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...
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=0.2;  pB=0.3;  pC=0.3; pD=0.2 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 28 B 38 C 28 D 39 What is the chi-square test-statistic for this data? χ2=χ2= What is the P-Value? P-Value =   For significance level alpha 0.05, What would be the conclusion of this hypothesis test? Reject...
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=0.3; pB=0.1; pC=0.4; pD=0.2 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 52 B 34 C 52 D 37 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 0.1, What would be...
Suppose that a response can fall into one of k = 5 categories with probabilities p1,...
Suppose that a response can fall into one of k = 5 categories with probabilities p1, p2, , p5 and that n = 300 responses produced these category counts. Category 1 2 3 4 5 Observed Count 46 63 73 52 66 (a) Are the five categories equally likely to occur? How would you test this hypothesis? H0: At least one pi is different from 1 5 . Ha: p1 = p2 = p3 = p4 = p5 = 1...
A multinomial experiment produced the following results:   Category 1     2      3        Frequency 139...
A multinomial experiment produced the following results:   Category 1     2      3        Frequency 139     120      71      a. Choose the appropriate alternative hypothesis at H0: p1 = 0.40, p2 = 0.40, and p3 = 0.20.    All population proportions differ from their hypothesized values. At least one of the population proportions differs from its hypothesized value. b. Calculate the value of the test statistic at H0: p1 = 0.40, p2 = 0.40, and p3 = 0.20....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT