### Statistical Analysis of Coupon UsageEagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to all their credit card customers. This promotion will be considered a success if more than 11% of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of 100 credit card customers.#### Hypothesis Development(a) Develop hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national.Hypotheses:- $ H_0 $: $ p < 0.11 $- $ H_0 $: $ p \geq 0.11 $- $ H_0 $: $ p = 0.11 $- $ H_0 $: $ p \neq 0.11 $- $H_0$: $ p \leq 0.11 $- $ H_0 $: $ p = 0.11 $- $ H_0 $: $ p > 0.11 $- $ H_0 $: $ p \neq 0.11 $- $ H_0 $: $ p \leq 0.11 $- $ H_0 $: $ p > 0.11 $From these options, the correct hypotheses to test whether the population proportion is enough to go national should be:- $ H_0: p \leq 0.11 $- $ H_0: p > 0.11 $(b) The file Eagle contains the sample data.#### Sample DataThe table below shows the sample data from a file named "Eagle," indicating whether each of the 100 customers used the coupon:| Used Coupon? | | | | | | | | | | ||--------------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|| No | No | No | No | No | No | No | No | No | No | No || No | No | No | No | No | No | No | No | No | No | No || No | No ### Hypothesis Testing on Eagle's Promotion Plan#### Data Table:| | | | | | | | ||:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|| No | No | No | Yes | No | No | No | No || No | No | No | Yes | No | No | No | No || No | No | No | No | No | No | No | No || No | No | No | No | No | Yes | Yes | Yes || Yes | Yes | Yes | No | No | No | No | No |Develop a point estimate of the population proportion:\[ \__ \]#### Hypothesis TestUse $\alpha = 0.05$ to conduct your hypothesis test. Should Eagle go national with the promotion?**Find the value of the test statistic (Round your answer to two decimal places):**\[ \_\_\_\_ \]**Find the p-value (Round your answer to four decimal places):**\[ \text{p-value} = \__ \]### Conclusion:What is your conclusion?- $ \square $ Reject $ H_0 $: There is insufficient evidence to conclude that Eagle should go national with the promotion.- $ \square $ Reject $ H_0 $: There is sufficient evidence to conclude that Eagle should go national with the promotion.- $ \square $ Do not reject $ H_0 $: There is sufficient evidence to conclude that Eagle should go national with the promotion.- $ \square $ Do not reject $ H_0 $: There is insufficient evidence to conclude that Eagle should go national with the promotion.[Need Help?](#)### Description of Table:The data table above represents responses (Yes or No) from a sample regarding a promotional plan by Eagle. Each entry indicates whether the respondent is in favor of (Yes) or against (No) the proposal.### Instruction:- Calculate the point estimate for the population proportion.- Use the given $\alpha$ value for conducting a hypothesis test.- Determine the test statistic and p-value based on the collected data.- Make a conclusion about the promotional plan based on the hypothesis test results and the p-value.

The question is about hypothesis testingGiven :Sample no. of credit card customers ( n ) = 100Data…

Answered: Eagle Outfitters is a chain of stores…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Mike Jimenez is president of the teachers’ union for Preston School District. In preparing for upcoming negotiations, he would like to investigate the salary structure of classroom teachers in the district. He believes there are three factors that affect a teacher’s salary: years of experience, a rating of teaching effectiveness given by the principal, and whether the teacher has a master’s degree (0 = No, 1 = Yes). A random sample of 20 teachers resulted in the following data. Salary ($ Thousands) Years of Experience Principal's Rating Master's Degree 51.1 8 95 0 43.6 5 84 0 39.3 2 100 1 53 15 51 1 48.6 11 53 0 55 14 81 1 52 9 85 0 46.8 7 52 1 58.6 22 68 1 41.7 3 97 1 35.7 1 83 0 40.6 5 71 0 61.8 23 77 1 46.7 17 61 0 48.4 12 83 1 43.6 14 71 0 51.8 8 59 1 40.7 4 93 0 42.8 2 58 1 42.9 8 90 0 a. What is the question being asked? b. Label your dependent variable: y = c. Label your independent variables: x1 = x2 = x3 = d.…
In 2014, Scotland was considering independence from England, going so far as to take a referendum vote. One opinion poll taken at the time showed that 51% of Scots favored "independence." In another poll taken at that same time, only 34% favored being "separate" from England. The primary reason these results differed by so much is that a. samples will usually differ just by chance due to random sampling. b. the wording of questions has a big effect on poll results. c. more follow-up efforts reduced the nonresponse rate of the second poll. d. the sample sizes are different, so the margins of error are different.
Suppose you work as a manager for a large clothing store. You are considering introducing a loyalty program to encourage customers to spend more at your store. Before rolling out your program to the public, you want to do a small experiment to estimate its effectiveness. You offer the loyalty program to 10 random customers, and also observed the sales of 27 random customers who did not get the program as a control group. The customers that were part of the loyalty program had average monthly sales of $302.57 and a sample standard deviation of $49.73. For the control group, the customers had an average monthly sales of $231.65 and a sample standard deviation of $67.88. * Given a 95% confidence interval critical value of t = 2.04, what is the upper bound (upper end) of a 95% confidence interval for the difference between two averages? Use (μloyalty program no loyalty program) for the order. Note: 1- Only round your final answer. Round your final answer to two decimal places.
2. According to the Center for Disease Control (CDC), 69% of adults 20 years of age and over in the U.S. are overweight. Recently, Jackson County was ranked 48th (out of 83 counties in Michigan) for a healthy population, and the County Commission wants to know if the county is significantly different from the national average at a 0.10 level of significance. They take a random sample of 280 adult residents of the county who are 20 years of age or older, and find that 72.5% are classified as overweight. Test the researcher's claim showing all steps, work and graphs.
A nonprofit company concerned with the school dropout rates has designed a tutoring program aimed at students between 16 to 18 years old. A national center for educational statistics reported that the high school dropout rate for the year 2000 was 10.9%.One school district, who adopted the use of the nonprofit's tutoring program and whose dropout rate has always been very close to the national average, reported in 2004 that 158 of their 1769 students dropped out. Is their experience evidence that the tutoring program has been effective? Determine the hypotheses for this test. Choose the correct answer below A. H0: p=0.109 HA: p≠0.109 B. H0: p≠0.109 HA: p=0.109 C. H0: p=0.109 HA: p<0.109 D. H0: p=0.109 HA: p≥0.109 E. H0: p≥0.109 HA: p=0.109 F. H0: p≤0.109 HA: p=0.109 Compute the test statistic. enter your response here *______* Find the P-value. enter your response here* ______* 3. Is their experience evidence that the tutoring…
1. The La Leche Society has released an educational video on the benefits of breast feeding. Prior to the release of the videos, it was known that 75% of new moms breast-feed exclusively for the first six weeks of their child's life. The CEO wants to know if the videos are increasing this proportion. A random sample of 400 new moms was obtained and 320 breast-fed their new babies exclusively for the first six weeks. At the 5% significance level, what conclusion can be reached?
1. The percentage of 12- to 17-year-olds who reported talking at least once in the past year with their parents about the dangers of drug, tobacco, or alcohol is 60% nationally. A state youth council believes this proportion is higher in their state, where there has been an intense media campaign about this issue. A survey of randomly chosen students from across the state shows 1032 of 1642 students reporting they are having these conversations with their parents. Is there evidence that the percent of students using drugs, tobacco or alcohol in this state is above the national rate?
For several decades, it was a common practice in Southern California for houses to be built with pools in the backyard (as any airplane flight which ends at a Southern California airport will reveal). Now, however, that practice may be changing, possibly because of the recent demand for landscaped homes, which experts believe help reduce pollution. A recent study examined a random sample of 167 houses built in Southern California between 1950 and 1985 and an independent, random sample of 80 houses built in Southern California from 1992 to the present. The sample of houses built in 1950-1985 contained 71 houses with pools, and the sample of houses built from 1992-present contained 31 houses with pools. Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion p1 of all Southern California houses built in 1950-1985 that were built with pools is greater than the proportion p2 of all Southern California houses built from…
3. A newly graduate of administration of justice has been hired by the regional director of the FBI to take a poll of a residential area to determine the proportion of residents who would be opposed to a gun exchange program in their community. The regional director of the FBI told her that if 50% or more of the residents are opposed to the idea, a gun exchange program will not be implemented. She takes a random sample of 150 household heads in the community and find that .42 of those sampled are opposed to the idea. Build a 99% confidence interval around this point estimate. Is 50% within her interval? What would she advise the regional director of the FBI who hired her?
Matrimony Monthly is a top-selling magazine that provides information for couples thinking about marriage. Over the years, writers for the magazine have researched just about everything there is to research about weddings. The popular conception at the magazine has been that roughly 50% of first weddings take place indoors in a church, 30% take place indoors in a building other than a church, and 20% take place outdoors This past week, the magazine examined a random sample of 240 first weddings and found the distribution given by the first row of numbers in the table below. (This row contains the frequencies observed in their sample of 240.) The second row of numbers gives the frequencies expected under the hypothesis that the popular conception at the magazine is correct. The bottom row of numbers contains the following value fo each of the wedding location categories. (Observed frequency - Expected frequency ) fE Expected frequency Part 1 Fill in the missing values in the table.…
Dental health issues remain a barrier to attendance, as evidenced by a 2010 Los Angeles School Attendance Review Board (SARB), which lists dental health, along with homelessness, in the top barriers to attendance. The Dental Hygiene program at West Los Angeles College collects data on its clinic patients to help instructors and students better understand their patient population. From July 2017 to December 2019 the program treated 3421 patients. Students were asked to analyze a random sample of 127 patients from that time period and found that 36.4% had severe periodontal disease (infections and inflammation of the gums and bone that surround and support the teeth). Identify the population: Identify the sample: Identify the parameter of interest: Identify the statistic:
Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately, click fraud—the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue—has become a problem. According to BusinessWeek, 42% of advertisers claim they have been a victim of click fraud. Suppose a simple random sample of 220 advertisers will be taken to learn more about how they are affected by this practice. Use z-table. a. What is the probability that the sample proportion will be within +/- 0.05 of the population proportion experiencing click fraud? (to 4 decimals) b. What is the probability that the sample proportion will be greater than 0.45 ?(to 4 decimals)

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS