According to recent study, 164 of 478 CEOs in a certain country are extremely concerned about Cyber threats, and 84 are extremely concerned about lack of trust in business. Complete parts (a) through (c) below.

a. Construct a 95% confidence interval estimate for the population proportion of CEOs in the country who are extremely concerned about cyber threats.

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b. Construct a 95% confidence interval estimate for the population proportion of CEOs in the country who are extremely concerned about lack of trust in business

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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 the CEOs surveyed who are extremely concerned about cyber threats lies within the interval in (a)

95% of the time.

B. You can be 95% confident that the population proportion of the CEOs in the country surveyed who are extremely concerned about cyber threats lies within the interval in (a).

C. You can be 95% confident that the population proportion of all CEOs in the country who are extremely concerned about cyber threats lies within the interval in (a).

D. The population proportion of all CEOs who are extremely concerned about cyber threats lies within the interval in (a) 95% of the time.

2c. Which of the following is the correct interpretation for the interval in (b)?

A. The population proportion of the CEOs in the country surveyed who are extremely concerned about lack of trust in business lies within the interval in (b) 95% of the time.

B. You can be 95% confident that the population proportion of the CEOs in the country surveyed who are extremely concerned about lack of trust in business lies within the interval in (b).

C. The population proportion of all CEOs in the country who are extremely concerned about lack of trust in business lies within the interval in (b) 95 of the time.

D. You can be 95% confident that the population proportion of all CEOs in the country who are extremely concerned about lack of trust in business lies within the interval in (b).