Business sensor technology provides a way for companies to learn about their customers, employees, and operations. A survey of global business and IT executives found that 26% of automotive executives; 27% of energy, utilities, and mining executives; 31% of hospitality and leisure executives; 31% of industrial products executives; and 51% of retail and consumer executives say their companies are currently investing in business sensor technology. Suppose these results were based on 400 business and IT executives in each of the five industries: Automotive; Energy, Utilities, and Mining; Hospitality and Leisure; Industrial Products; and Retail and Consumer. Complete parts (a) through (c). a. At the 0.05 level of significance, is there evidence of a difference among the industries with respect to the proportion of executives that say their companies are currently investing in business sensor technology? State the null and alternative hypotheses. A. Ho ₁₂ ====0 H₁: At least one of the лj is not equal to zero (where j = 1, 2, 3, 4, 5) B. Ho ₁₂ === 5 C. Ho ₁ = = = = 5 H₁: Not all πj are equal (where j = 1, 2, 3, 4, 5) OD. Ho₁₂ ====0 H₁₁₂ 350 The test statistic is X STAT (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Business sensor technology provides a way for companies to learn about their customers, employees, and operations.
A survey of global business and IT executives found that 26% of automotive executives; 27% of energy, utilities, and
mining executives; 31% of hospitality and leisure executives; 31% of industrial products executives; and 51% of retail
and consumer executives say their companies are currently investing in business sensor technology. Suppose these
results were based on 400 business and IT executives in each of the five industries: Automotive; Energy, Utilities,
and Mining; Hospitality and Leisure; Industrial Products; and Retail and Consumer. Complete parts (a) through (c).
a. At the 0.05 level of significance, is there evidence of a difference among the industries with respect to the
proportion of executives that say their companies are currently investing in business sensor technology?
State the null and alternative hypotheses.
A. Ho ₁₂ ====0
H₁: At least one of the лj is not equal to zero (where j = 1, 2, 3, 4, 5)
B. Ho ₁₂ === 5
C. Ho ₁ =
= = = 5
H₁: Not all
πj
are equal (where j = 1, 2, 3, 4, 5)
OD. Ho₁₂ ====0
H₁₁₂ 350
The test statistic is X STAT
(Round to three decimal places as needed.)
Transcribed Image Text:Business sensor technology provides a way for companies to learn about their customers, employees, and operations. A survey of global business and IT executives found that 26% of automotive executives; 27% of energy, utilities, and mining executives; 31% of hospitality and leisure executives; 31% of industrial products executives; and 51% of retail and consumer executives say their companies are currently investing in business sensor technology. Suppose these results were based on 400 business and IT executives in each of the five industries: Automotive; Energy, Utilities, and Mining; Hospitality and Leisure; Industrial Products; and Retail and Consumer. Complete parts (a) through (c). a. At the 0.05 level of significance, is there evidence of a difference among the industries with respect to the proportion of executives that say their companies are currently investing in business sensor technology? State the null and alternative hypotheses. A. Ho ₁₂ ====0 H₁: At least one of the лj is not equal to zero (where j = 1, 2, 3, 4, 5) B. Ho ₁₂ === 5 C. Ho ₁ = = = = 5 H₁: Not all πj are equal (where j = 1, 2, 3, 4, 5) OD. Ho₁₂ ====0 H₁₁₂ 350 The test statistic is X STAT (Round to three decimal places as needed.)
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