A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone withimproved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 400 subscribers. The resultsindicate that 93 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of thesubscribers would upgrade. Complete parts (a) and (b) below.H,: z=0.20OC. Họi 120.20H: x<0.20H,: x40.20OD. Ho s0.20H,: >0.20What 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. Theresufficient evidence that the percentage of people who would upgrade to a new cellphone at areduced cost is20%.b. How would the manager in charge of promotional programs concerning cellphone upgrades use the results in (a)?The managersuggest reducing the price.

A hypothesis which is tested for plausible rejection is called the Null Hypothesis (typically…

Answered: A cellphone provider has the business…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 2E

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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 500 subscribers. The results indicate that 124 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. Question content area bottom Part 1 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, H0, and the alternative hypothesis, H1. A. H0: π≥0.20 H1: π<0.20 B. H0: π≠0.20 H1: π=0.20 C. H0: π≤0.20 H1: π>0.20 D. H0: π=0.20 H1: π≠0.20 What is the test statistic? ZSTAT=enter your response…
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 600 subscribers. The results indicate that 131 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. Question content area bottom Part 1 a. At the 0.01 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, H0, and the alternative hypothesis, H1. A. H0: π=0.20 H1: π≠0.20 B. H0: π≥0.20 H1: π<0.20 C. H0: π≤0.20 H1: π>0.20 D. H0: π≠0.20 H1: π=
AMS communicates with customers who subscribe to cable television services through a special secured email system that sends messages about service changes, new features, and billing information to in-home digital set-top boxes for later display. To enhance customer service, the operations department established the business objective of reducing the amount of time to fully update each subscriber’s set of messages. The department selected two candidate messaging systems and conducted an experiment in which 30 andomly chosen cable subscribers were assigned one of the two systems (15 assigned to each system). Update times were measured, and the results are organized in Table AMS10.1. Email Interface1 4.13 3.75 3.93 3.74 3.36 3.85 3.26 3.73 4.06 3.33 3.96 3.57 3.13 3.68 3.63 Email Interface 2 3.71 3.89 4.22 4.57 4.24 3.90 4.09 4.05 4.07 3.80 4.36 4.38 3.49 3.57 4.74 1. Analyze the data in Table AMS10.1 and do a statistical test with hypothesis. Kindly discuss the reason you selected a…
In a study to estimate the proportion of smokers among the residents in a certain city and its suburbs, it is found that 24 of 104 urban residents aresmokers, while 34 of 108 suburban residents are smokers. Is there a significant difference between the proportions of smokers among urban and suburban residents? Make use of a P-value.
What proportion of machine time would be lost in operating four machines when the machine operates 70 percent of the time unattended and the operator attention time at irregular intervals averages 30 percent? Is this the best arrangement on the basis of minimizing the proportion of machine time lost?
Acupuncture. Research reported in 2008 brings to lightthe effectiveness of treating chronic lower back pain withdifferent methods. One-third of nearly 1200 volunteers were administered conventional treatment (drugs, physi-cal therapy, and exercise). The remaining patients got 30-minute acupuncture sessions. Half of these patientswere punctured at sites suspected of being useful andhalf received needles at other spots on their bodies.Comparable shares of each acupuncture group, roughly45%, reported decreased back pain for at least six monthsafter their sessions ended. This was almost twice as highas those receiving the conventional therapy, leading theresearchers to conclude that results were statisticallysignificant.a) Why did the researchers feel it was necessary to havesome of the patients undergo a “fake” acupuncture?b) Because patients had to consent to participate in thisexperiment, the subjects were essentially self-selected—a kind of voluntary response group. Explain why…
Fast-food restaurants are always looking for ways to cut down on expenses. Believe it or not, such restaurants may be able to decrease yearly expenses simply by decreasing the size of the paper napkins they provide to patrons. (Such a change also puts the restaurants in a more environmentally friendly position.) Papel Paper Products, a major paper company hoping to infiltrate the restaurant supply market, is considering pitching the smaller-napkin idea to potential restaurant clients. To determine the receptiveness of different restaurants to the idea, Papel surveyed 400 fast-food establishments chosen at random, and looked at the data according to two variables: type of fast-food restaurant ("burger/sandwich", "Chinese/Mexican", or "other") and attitude toward the smaller-napkin idea ("receptive" or "not receptive.") The data are summarized in the contingency table below. Each of the 6 cells of the table contains three numbers: the first number is the observed cell frequency (fO);…
Fast-food restaurants are always looking for ways to cut down on expenses. Believe it or not, such restaurants may be able to decrease yearly expenses simply by decreasing the size of the paper napkins they provide to patrons. (Such a change also puts the restaurants in a more environmentally friendly position.) Papel Paper Products, a major paper company hoping to infiltrate the restaurant supply market, is considering pitching the smaller-napkin idea to potential restaurant clients. To determine the receptiveness of different restaurants to the idea, Papel surveyed 400 fast-food establishments chosen at random, and looked at the data according to two variables: type of fast-food restaurant ("burger/sandwich", "Chinese/Mexican", or "other") and attitude toward the smaller-napkin idea ("receptive" or "not receptive.") The data are summarized in the contingency table below. Each of the 6 cells of the table contains three numbers: the first number is the observed cell frequency (fO);…
Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?
During the Covid crisis, there were lockdowns and working-from-home, which made collecting data on unemployment more challenging. Researchers from a US University conducted a survey of 1,000 individuals in the labour force to assess rise in unemployment in September 2020. The object was to find out whether the unemployment rate had risen above a benchmark proportion of 5 per cent of the labour force in Scotland. Of the surveyed persons, 60 reported being unemployed in the week prior to the survey. Conduct a two-tailed test of whether unemployment rate during this period was 5 per cent. Set out your null and alternative hypotheses, significance level, test statistic, assumptions and sampling distribution clearly. Conduct the test and comment on the economic significance of the findings.
Reducing scrap of 4-foot planks of hardwood is an important factor in reducing cost at a wood-flooring manufacturing company. Accordingly, engineers at Lumberworks are investigating a potential new cutting method involving lateral sawing that may reduce the scrap rate. To examine its viability, samples of 600 and 500 planks, respectively, were examined under the old and new methods. Sixty-one of the 600 planks were scrapped under the old method, whereas 36 of the 500 planks were scrapped under the new method. (You may find it useful to reference the appropriate table: z table or t table)a. Construct the 99% confidence interval for the difference between the population scrap rates between the old and new methods, respectively. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
One major factor in low productivity is the amount of time wasted by workers. Wasted time could include things such as time spent waiting for more material and equipment, cleaning up mistakes, and performing any other activity not related to production. In a project designed to examine this problem, a consultant took a survey of 200 workers in companies that were classified as successful (on the basis of their latest annual profits) and another 200 workers from unsuccessful companies. The amount of time (in hours) wasted during a standard 40-hour workweek was recorded for each worker. Do these data provide enough evidence at the 5% significance level to infer that the amount of time wasted in unsuccessful firms exceeds that of successful ones? To answer this question, the consultant ran several analyses and provided the out below. Note that none of these analyses might be correct. A. H0: (μ1 - μ2) = 0 H1: (μ1 - μ2) > 0 B. H0: μD = 0 H1: μD > 0 C. H0: μD = 0…

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