A cellphone provider has the business objective of wanting to estimate the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 175 of the subscribers would upgrade to a new cellphone at a reduced cost. Construct a 95​% confidence interval estimate for the population proportion of subscribers that would upgrade to a new cellphone at a reduced cost. __ ≤π≤ __ ​(Round to four decimal places as​ needed.)   How would the manager in charge of promotional programs use the results in​ (a)?     A. The manager can infer that 95​% of subscribers would upgrade to a new cellphone at a reduced cost.   B. The manager can infer with 95​% confidence that the population proportion of all subscribers that would upgrade to a new cellphone at a reduced cost is somewhere in this interval.   C. The manager can infer that the true population proportion of subscribers that would upgrade to a new cellphone at a reduced cost is somewhere in this interval 95​% of the time.   D. The manager can infer with 95​% confidence that the proportion of subscribers in the sample that would upgrade to a new cellphone at a reduced cost is somewhere in this interval.

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A cellphone provider has the business objective of wanting to estimate the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 175 of the subscribers would upgrade to a new cellphone at a reduced cost.

Construct a 95​% confidence interval estimate for the population proportion of subscribers that would upgrade to a new cellphone at a reduced cost.

__ ≤π≤ __
​(Round to four decimal places as​ needed.)
 
How would the manager in charge of promotional programs use the results in​ (a)?
 
 
A. The manager can infer that 95​% of subscribers would upgrade to a new cellphone at a reduced cost.
 
B. The manager can infer with 95​% confidence that the population proportion of all subscribers that would upgrade to a new cellphone at a reduced cost is somewhere in this interval.
 
C. The manager can infer that the true population proportion of subscribers that would upgrade to a new cellphone at a reduced cost is somewhere in this interval 95​% of the time.
 
D. The manager can infer with 95​% confidence that the proportion of subscribers in the sample that would upgrade to a new cellphone at a reduced cost is somewhere in this interval.
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