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 Auto Execs                              Energy Execs Hospitality Execs Industrail Execs Retail Execs Totals Yes             No             Totals               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)   B. H0: π1=π2=π3=π4=π5 H1: π1≠π2≠π3≠π4≠π5   C. ​Ho: P1=P2=P3=P4=P5 ​H1: not all​ P's are equal   D. 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.   B. The​ p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.   C. The​ p-value is the probability of falsely rejecting the null hypothesis.   D. The​ p-value is the probability that the null hypothesis is true.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
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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
Auto Execs                             
Energy Execs
Hospitality Execs
Industrail Execs
Retail Execs
Totals
Yes
 
 
 
 
 
 
No
 
 
 
 
 
 
Totals
 
 
 
 
 
 
 
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)
 
B.
H0: π1=π2=π3=π4=π5
H1: π1≠π2≠π3≠π4≠π5
 
C.
​Ho: P1=P2=P3=P4=P5
​H1: not all​ P's are equal
 
D.
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.
 
B. The​ p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.
 
C. The​ p-value is the probability of falsely rejecting the null hypothesis.
 
D. The​ p-value is the probability that the null hypothesis is true.
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