Question

According to recent? study, 175 of 500 technology CEOs from around the world responded that technological advances will transform their business and 89 responded that resource scarcity and climate change will transform their business. Complete parts? (a) through? (c) below.
a. Construct a 90?% confidence interval estimate for the population proportion of tech CEOs who indicate technological advances as one of the global trends that will transform their business.
___ ? ? ? ___
(Round to four decimal places as? needed.)
b. Construct a 90?% confidence interval estimate for the population proportion of tech CEOs who indicate resource scarcity and climate change as one of the global trends that will transform their business.
___ ? ? ? ___
(Round to four decimal places as? needed.)
c. Interpret the intervals in? (a) and? (b). Which of the following is the correct interpretation for the interval in? (a)?
A.The population proportion of all tech CEOs who indicate technological advances as one of the global trends that will transform their business lies within the interval in? (a) 90?% of the time.
B.The population proportion of the tech CEOs surveyed who indicate technological advances as one of the global trends that will transform their business lies within the interval in? (a)90?% of the time.
C.You can be 90?% confident that the population proportion of the tech CEOs surveyed who indicate technological advances as one of the global trends that will transform their business lies within the interval in? (a).
D.You can be 90?% confident that the population proportion of all tech CEOs who indicate technological advances as one of the global trends that will transform their business lies within the interval in? (a).
Which of the following is the correct interpretation for the interval in? (b)?
A.The population proportion of all tech CEOs who indicate resource scarcity and climate change as one of the global trends that will transform their business lies within the interval in? (b) 90?% of the time.
B.The population proportion of the tech CEOs surveyed who indicate resource scarcity and climate change as one of the global trends that will transform their business lies within the interval in? (b) 90?% of the time.
C.You can be 90?% confident that the population proportion of the tech CEOs surveyed who indicate resource scarcity and climate change as one of the global trends that will transform their business lies within the interval in? (b).
D.You can be 90?% confident that the population proportion of all tech CEOs who indicate resource scarcity and climate change as one of the global trends that will transform their business lies within the interval in? (b)

Answer 1

Solution: a. Construct a 90% confidence interval estimate for the population proportion of tech CEOs who indicate technological advances as one of the global trends that will transform their business.

Answer: The 90% confidence interval is given below:

90% confidence interval is given below:

Therefore the 90% confidence interval is given below:

b. Construct a 90% confidence interval estimate for the population proportion of tech CEOs who indicate resource scarcity and climate change as one of the global trends that will transform their business.

Answer: The 90% confidence interval is given below:

90% confidence interval is given below:

Therefore the 90% confidence interval is given below:

c. Interpret the intervals in (a) and (b). Which of the following is the correct interpretation for the interval in (a)?

Answer: D.You can be 90% confident that the population proportion of all tech CEOs who indicate technological advances as one of the global trends that will transform their business lies within the interval in (a).

Which of the following is the correct interpretation for the interval in (b)?

Answer: D.You can be 90% confident that the population proportion of all tech CEOs who indicate resource scarcity and climate change as one of the global trends that will transform their business lies within the interval in (b)