The Wall Street Journal's Shareholder Scoreboard tracks the performance of 1,000 major U.S. companies. The performance of each company is rated based on the annual total return, including stock price changes and the re investment of dividends. Ratings are assigned by dividing all 1,000 companies into five groups from A (top 20%), B (next 20 %), to E (bottom 20%). Shown here are the one- year ratings for a sample of 60 of the largest companies. A B 5 8 с D E 15 20 12 Do the largest companies differ in performance from the performance of the 1,000 companies in the Shareholder Scoreboard? Use α = 0.05. State the null and alternative hypotheses. O Ho: The proportions of the largest companies compared to the 1,000 companies are the same for at least one of the five groups. H₂: The proportions of the largest companies compared to the 1,000 companies are different for all five groups. O Ho: The largest companies differ in performance from the 1,000 companies. H₂: The largest companies do not differ in performance from the 1,000 companies. O Ho: The largest companies do not differ in performance from the 1,000 companies. H₂: The largest companies differ in performance from the 1,000 companies. O Ho: The proportions of the largest companies compared to the 1,000 companies are the same for the majority of the five groups. Ha: The proportions of the largest companies compared to the 1,000 companies are different for the majority of the five groups. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal p-value = .) State your conclusion. O Reject Ho. We conclude that the proportions of the largest companies compared to the 1,000 companies are different for all five groups. O Reject Ho. We conclude that the largest companies differ in performance from the 1,000 companies. O Do not reject Ho. We conclude that the proportions of the largest companies compared to the 1,000 companies are the same for the majority of the five groups. O Do not reject Ho. We conclude that the largest companies do not differ in performance from the 1,000 companies.
The Wall Street Journal's Shareholder Scoreboard tracks the performance of 1,000 major U.S. companies. The performance of each company is rated based on the annual total return, including stock price changes and the re investment of dividends. Ratings are assigned by dividing all 1,000 companies into five groups from A (top 20%), B (next 20 %), to E (bottom 20%). Shown here are the one- year ratings for a sample of 60 of the largest companies. A B 5 8 с D E 15 20 12 Do the largest companies differ in performance from the performance of the 1,000 companies in the Shareholder Scoreboard? Use α = 0.05. State the null and alternative hypotheses. O Ho: The proportions of the largest companies compared to the 1,000 companies are the same for at least one of the five groups. H₂: The proportions of the largest companies compared to the 1,000 companies are different for all five groups. O Ho: The largest companies differ in performance from the 1,000 companies. H₂: The largest companies do not differ in performance from the 1,000 companies. O Ho: The largest companies do not differ in performance from the 1,000 companies. H₂: The largest companies differ in performance from the 1,000 companies. O Ho: The proportions of the largest companies compared to the 1,000 companies are the same for the majority of the five groups. Ha: The proportions of the largest companies compared to the 1,000 companies are different for the majority of the five groups. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal p-value = .) State your conclusion. O Reject Ho. We conclude that the proportions of the largest companies compared to the 1,000 companies are different for all five groups. O Reject Ho. We conclude that the largest companies differ in performance from the 1,000 companies. O Do not reject Ho. We conclude that the proportions of the largest companies compared to the 1,000 companies are the same for the majority of the five groups. O Do not reject Ho. We conclude that the largest companies do not differ in performance from the 1,000 companies.
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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Transcribed Image Text:The Wall Street Journal's Shareholder Scoreboard tracks the performance of 1,000 major U.S. companies. The performance of each company is rated based on the annual total return, including stock
price changes and the re investment of dividends. Ratings are assigned by dividing all 1,000 companies into five groups from A (top 20%) , B (next 20%), to E (bottom 20%). Shown here are the one-
year ratings for a sample of 60 of the largest companies.
ABCD
5
8
15 20 12
Do the largest companies differ in performance from the performance of the 1,000 companies in the Shareholder Scoreboard? Use α = 0.05.
State the null and alternative hypotheses.
Ho: The proportions of the largest companies compared to the 1,000 companies are the same for at least one of the five groups.
Ha
: The proportions of the largest companies compared to the 1,000 companies are different for all five groups.
Ho: The largest companies differ in performance from the 1,000 companies.
H₂:
: The largest companies do not differ in performance from the 1,000 companies.
Ho: The largest companies do not differ in performance from the 1,000 companies.
H₂: The largest companies differ in performance from the 1,000 companies.
Ho: The proportions of the largest companies compared to the 1,000 companies are the same for the majority of the five groups.
Ha: The proportions of the largest companies compared to the 1,000 companies are different for the majority of the five groups.
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject Ho. We conclude that the proportions of the largest companies compared to the 1,000 companies are different for all five groups.
Reject Ho. We conclude that the largest companies differ in performance from the 1,000 companies.
Do not reject Ho. We conclude that the proportions of the largest companies compared to the 1,000 companies are the same for the majority of the five groups.
Do not reject Ho. We conclude that the largest companies do not differ in performance from the 1,000 companies.
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