A cellphone provider has the business objective of wanting to determine 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 400 subscribers. The results indicate that 99 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. Adnd cost? a. At the 0.05 level of significance, there evidence that more than 20% of the customers would upgrade to a new cellphone at Determine the null hypothesis, Ho, and the alternative hypothesis, H, O B. Ho As0.20 O A. Ho R=0.20 H: a#0.20 H. >0.20 ОС. Но я20.20 H; z<0.20 O D. Ho: 1#0.20 H, = 0.20 What is the test statistic? ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.) What is the p-value? The p-value isO (Type an integer or a decimal. Round to three decimal places as needed.) What is the final conclusion? v the null hypothesis. There V sufficient evidence that the percentage of people who would upgrade to a new cellphone at a reduced cost is 20%. b. How would the manager in charge of promotional programs concerning cellphone upgrades use the results in (a)? The mananer V CInnest reducina the nrice Click to select your answer(s),

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A cellphone provider has the business objective of wanting to determine 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 400 subscribers. The results indicate that 99 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below.
a. At the 0.05 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost?
Determine the null hypothesis, Ho, and the alternative hypothesis, H,.
Ο Β . H π < 0.20
H1: n> 0.20
О А. Но: л%3D 0.20
H1: n#0.20
ОС. Но и20.20
O D. Ho: T# 0.20
H1: a< 0.20
H;: n= 0.20
What is the test statistic?
ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.)
What is the p-value?
The p-value is
(Type an integer or a decimal. Round to three decimal places as needed.)
What is the final conclusion?
the null hypothesis. There
V sufficient evidence that the percentage of people who would upgrade to a new cellphone at a reduced cost is
20%.
b. How would the manager in charge of promotional programs concerning cellphone upgrades use the results in (a)?
The manager
Suagest reducina the nrice
Click to select your answer(s).
Transcribed Image Text:A cellphone provider has the business objective of wanting to determine 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 400 subscribers. The results indicate that 99 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. a. At the 0.05 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost? Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Ο Β . H π < 0.20 H1: n> 0.20 О А. Но: л%3D 0.20 H1: n#0.20 ОС. Но и20.20 O D. Ho: T# 0.20 H1: a< 0.20 H;: n= 0.20 What is the test statistic? ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.) What is the p-value? The p-value is (Type an integer or a decimal. Round to three decimal places as needed.) What is the final conclusion? the null hypothesis. There V sufficient evidence that the percentage of people who would upgrade to a new cellphone at a reduced cost is 20%. b. How would the manager in charge of promotional programs concerning cellphone upgrades use the results in (a)? The manager Suagest reducina the nrice Click to select your answer(s).
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