A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black White Yellow Red Blue Controls (not injured) Cases (injured or killed) 490 348 34 163 91 217 113 69 45

A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black White Yellow Red Blue Controls (not injured) Cases (injured or killed) 490 348 34 163 91 217 113 69 45

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A'6
Identifying TestsFor the following prompts include:- the name of the test- the parameter being tested, H0 and Ha.Example: What test would you use to determine whether the starting salariesfor statisticians are greater than $80,000?Ans: One-sample t-test for population mean, H0 : µ = $80, 000 vs. Ha : µ >$80,000.a. The 2010 Census found that the average family size in Minnesota was 3.05.What statistical procedure would you use to test whether the average familysize in Minnesota is greater than 3.05 in 2019?b. According to the 2017 American Community Survey, 5.7% of all workers inMinneapolis/St. Paul urbanized area commute to work by public transportation. What statistical procedure would you use to test whether the proportionof workers in Minneapolis/St. Paul urbanized area commute to work by publictransportation in 2019 has changed from than in 2015?c. According to the 2017 American Community Survey, 4.3% of all workers inMinneapolis/St. Paul urbanized area work in construction.…
The test scores of 16 students are listed below: 44, 46, 51, 57, 60, 63, 65, 70, 75, 76, 85, 87, 90, 94, 95, 97. (c) Find the third quartile of the above data.
Find the value of the test statistic z using z =The claim is that the proportion of drowning deaths of children attributable to beaches is more than 0.25, and the sample statistics include n = 681 drowning deaths ofchildren with 30% of them attributable to beaches.2.853.01P-PPqn2.856.Findthevalueoftheteststatisticzusingz=Theclaimisthattheproportionofdrowningdeathsofchildrenattributabletobeachesismorethan0.25,andthesamplestatisticsincluden=681drowningdeathsofchildrenwith30%ofthemattributabletobeaches.2.853.01P-PPqn2.85
Aspirin III: Decision and Conclusion Regarding the experiment in the data frame Aspirin from the abd package, the researchers wanted to know whether or not taking aspirin affects one's risk of developing cancer. Recall that they defined their parameters as follows: p1 = the proportion of ALL individuals who would develop cancer, if all of them were to take aspirin like the subjects in the Aspirin group did. p2 = the proportion of ALL individuals who would develop cancer, if all of them were to take a placebo, like the subjects in the placebo group did. They ran the code for a two-sided significance test and got the following results: ## ## ## Inferential Procedures for the Difference of Two Proportions p1-p2:## cancer grouped by treatment ## ## ## Descriptive Results:## ## yes n estimated.prop## Aspirin 1438 19934 0.07214## Placebo 1427 19942 0.07156## ## ## Inferential Results:## ## Estimate of p1-p2: 0.0005805 ## SE(p1.hat - p2.hat): 0.002586 ## ##…
J In-shop othesis test for the difference between two population proportions 02562 2600368.qx3zqy7 Jump to level 1 The manager of a coffee shop is trying to determine if drive-through customers buy fewer items than customers who come into the shop. The manager randomly samples both populations and calculates the proportion of customers in each that buy three or more items. The results of the data collected are shown below. What are the population parameters? Y Pick Drive-through Successes 27 Successes What is the level of significance? Ex: 0.12 Observations 76 Observations 41 119 0.345 p-hat_1 0.355 p-hat_2 What is the null hypothesis Ho? Pick Confidence Level 0.1429 What is the alternative hypothesis Ha? Pick p-value Should Ho be rejected or does Ho fail to be rejected? Pick What conclusion can be drawn from the data? Pick evidence exists to support the claim that drive-through customers buy fewer items than in-shop customers. 2 p W
Calculate the sample mean, standard deviation, critical value, and 90% confidence interval (lower and upper endpoint.
The St. Louis Cardinals would like to improve their post season performance this year. They have hired you as a consultant to study the team during winter practice and help their analytics team to fine tune their on-field performance. Armed with your recent knowledge of sampling and estimation, you set to collect data and provide feedback to the team. How can you help the team from what you have learned in this chapter? Describe your sampling plan? What data would you like to collect, the parameter(s) of interest. How you would use the confidence interval to inform the team?
f.
A company that has a 10% market share (they sell their product to 10% of all potential buyers) launches a marketing campaign. At the end of the campaign period, the company conducts a survey in order to assess whether its market share has increased. The result of the survey issued to 500 customers was 12.5%.h0= p=0.10, h1= p>0.10test statistic= 1.86P value= 0.0314 a. State your conclusion using ΅ = 0.05.b. What would be the potential Type I and Type II errors in this problem? Explain these possible errors in context.
According to a survey conducted by the Association for Dressing and Sauces, 85% of American adults eat salad at least once a week. A nutritionist suspect that the percentage is higher that this. She conducts a survey of 200 American adults an finds that 171 of them eat salad at least once a week. Conduct the appropriate test that addresses the nutritionist's suspicions. Use the a = 0.1 level of significance. What is the test statistic? t-score population parameter Z-Score standard deviation
p = proportion of students who drop out due to lack of economic resources A sociologist thinks that in his country the percentage of students who drop out due to lack of economic resources is different from 40%. He takes a sample of 70 student dropouts and finds that 37 of them dropped out due to lack of financial resources.Can the sociologist, with a significance level of 0.05, consider that the percentage of students who drop out due to lack of economic resources is different from 40%? Choose 1. The correct conclusion2. The correct interpretationSelect one:to)1. H0 is rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongb)1. H0 is not rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongc)1.…