MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 28% of automotive executives; 27% of energy, utilities, and mining executives; 30% of hospitality and leisure executives; 30% of industrial products executives; and 59% 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 (b) Enter your data in the table below and then use the TI-84 Stat tests.
Invest in Sensor Technology
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Auto Execs
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Energy Execs
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Hospitality Execs
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Industrail Execs
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Retail Execs
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Totals
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Yes
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No
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Totals
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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.
H0: π1=π2=π3=π4=π5=0
H1: At least one of the πj is not equal to zero (where j=1, 2, 3, 4, 5)
H0: π1=π2=π3=π4=π5
H1: π1≠π2≠π3≠π4≠π5
Ho: P1=P2=P3=P4=P5
H1: not all P's are equal
H0: π1=π2=π3=π4=π5=0
H1: π1≠π2≠π3≠π4≠π5≠0
The test statistic is χ2STAT=___.
p-value=____
__A__ H0., since the p-value is less than a. There __B__ significant 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.
A: do not reject or reject
B: is not or is
What does the p-value mean? Choose the correct answer below.
A. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples.
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