Consider a multinormal experiment with n-272 and k 4 The null hypothesis to be t

Question

Consider a multinormal experiment with n-272 and k 4 The null hypothesis to be tested i, H. p: p: = p 025 The observed frequencies resulting from the experiment are Use lable Category Frequency 77 46 79 70 a· Choose the appropriate alternative hypothesis O All population proportions differ from 025 Not all population proportions are equal to 025 b. Calculate the critical value at the 10% significance level (Round your answer to 3 decimal places.) Critical value c. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic d. What is the conclusion to the hypothesis test? O Reject Ho since the value of the test statistic does not exceed the critical value O Reject Hi since the value of the test statistic exceeds the critical value O Do not reject Ho since the value of the test statistic does not exceed the critical value. O Do not reject Ho since the value of the test statistic exceeds the critical value.

Explanation / Answer

a) nt all populaiton proportion are equal to 0.25

b) for (categoris-1=4-1=3) degree of freedom and 0.1 level critical value =6.251

c) applying chi square goodness of fit test:

test statistic =10.15

d) as test statistic is greater then critical value

reject Ho; since the value of test statistic exceed critical value

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E 1 0.25 77 68.00 1.19 2 0.25 46 68.00 7.12 3 0.25 79 68.00 1.78 4 0.25 70 68.00 0.06 1 272 272 10.147

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.