need help with question b

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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need help with question b

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 140 of the subscribers would upgrade to a new
cellphone at a reduced cost. Complete parts (a) and (b) below.
a. Construct a 99% confidence interval estimate for the population proportion of subscribers that would upgrade to a new cellphone at a reduced cost.
0.2283 ≤ ≤ 0.3317
(Round to four decimal places as needed.)
b. How would the manager in charge of promotional programs use the results in (a)?
Ⓒ A. The manager can infer with 99% confidence that the population proportion of all subscribers that would upgrade to a new cellphone at a reduced cost is somewhere in this
interval.
O B.
The manager can infer with 99% 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.
O C.
The manager can infer that 99% of subscribers that would upgrade to a new cellphone at a reduced cost.
O D. 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 99% of the time.
Transcribed Image Text: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 140 of the subscribers would upgrade to a new cellphone at a reduced cost. Complete parts (a) and (b) below. a. Construct a 99% confidence interval estimate for the population proportion of subscribers that would upgrade to a new cellphone at a reduced cost. 0.2283 ≤ ≤ 0.3317 (Round to four decimal places as needed.) b. How would the manager in charge of promotional programs use the results in (a)? Ⓒ A. The manager can infer with 99% confidence that the population proportion of all subscribers that would upgrade to a new cellphone at a reduced cost is somewhere in this interval. O B. The manager can infer with 99% 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. O C. The manager can infer that 99% of subscribers that would upgrade to a new cellphone at a reduced cost. O D. 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 99% of the time.
Expert Solution
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Given that 

n = 500 , X = 140

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