Consider a multinomial experiment with n = 360 and k = 3. The null hypothesis is H0: p1 = 0.60, p2 = 0.25, and p3 = 0.15. 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 220 82 58 a. Choose the appropriate alternative hypothesis. All population proportions differ from their hypothesized values. At least one of the population proportions differs from its hypothesized value. 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.) b-2. Find the p-value. p-value 0.10 0.05 p-value < 0.10 0.025 p-value < 0.05 0.01 p-value < 0.025 p-value < 0.01 c. At the 10% significance level, what is the conclusion to the hypothesis test? Do not reject H0 since the p-value is more than significance level. Reject H0 since the p-value is less than significance level. Do not reject H0 since the p-value is less than significance level. Reject H0 since the p-value is more than significance level.
Consider a multinomial experiment with n = 360 and k = 3. The null hypothesis is H0: p1 = 0.60, p2 = 0.25, and p3 = 0.15. 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 220 82 58 a. Choose the appropriate alternative hypothesis. All population proportions differ from their hypothesized values. At least one of the population proportions differs from its hypothesized value. 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.) b-2. Find the p-value. p-value 0.10 0.05 p-value < 0.10 0.025 p-value < 0.05 0.01 p-value < 0.025 p-value < 0.01 c. At the 10% significance level, what is the conclusion to the hypothesis test? Do not reject H0 since the p-value is more than significance level. Reject H0 since the p-value is less than significance level. Do not reject H0 since the p-value is less than significance level. Reject H0 since the p-value is more than significance level.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Consider a multinomial experiment with n = 360 and k = 3. The null hypothesis is H0: p1 = 0.60, p2 = 0.25, and p3 = 0.15. 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 | 220 | 82 | 58 |
a. Choose the appropriate alternative hypothesis.
-
All population proportions differ from their hypothesized values.
-
At least one of the population proportions differs from its hypothesized value.
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.)
b-2. Find the p-value.
-
p-value 0.10
-
0.05 p-value < 0.10
-
0.025 p-value < 0.05
-
0.01 p-value < 0.025
-
p-value < 0.01
c. At the 10% significance level, what is the conclusion to the hypothesis test?
-
Do not reject H0 since the p-value is more than significance level.
-
Reject H0 since the p-value is less than significance level.
-
Do not reject H0 since the p-value is less than significance level.
-
Reject H0 since the p-value is more than significance level.
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