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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.

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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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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