4. The FDA has determined that, onaverage, 20 percent of ground turkey hasthe salmonella bacteria. A meat processorargues that its new processing techniqueresults in much less salmonella than theusual 20 percent. 144 batches of groundturkey are sampled for the presence ofsalmonella and 11% were found to becontaminated. Use the 4-step method totest the hypothesis that the new techniqueof the meat processor has lowercontamination rates. Use 90% confidencelevel.

The hypothesized proportion of contaminated ground turkey, p0=20% (i.e., 0.20).The sampled number of…

Answered: 4. The FDA has determined that, on…

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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The city manager measures response times by looking at the proportion of calls for which paramedics arrived within 8 minutes. Last year, paramedics arrived on scene 75% of the time within 8 minutes. The city manager wants to determine whether they have done significantly better this year. State appropriate null and alternative hypotheses for the city manager to test. Describe a Type I and Type II error in this setting. Explain the consequences of each type of error. Which is more serious: a Type I error or a Type II error? Justify your answer
A new shampoo is being test-marketed. A large number of 16 ounce bottles were mailed out at random to potential customers in the hope that the customers will retuen an enclosed questionnaire. Out of tbe 1500 returned questionnaires, 975 indicated that they like the shampoo and will consider buying ir when it becomes available on the market. Perform a hypothesis to determine if the proportion of potential customers is at most 65 percent. Use a level of significance of 0.05.
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 252 vinyl gloves, 67% leaked viruses. Among 252 latex gloves, 7% leaked viruses. Using the accompanying display of the technology results, and using a 0.01 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. Pooled proportion: 0.37 Test statistic, z: 14.0310 Critical z: 2.3264 P-value: 0.0000 98% Confidence interval: 0.5251062<p1−p2<
In a random sample of males, it was found that 23 write with their left hands and 225 do not. In a random sample of females, it was found that 59 write with their left hands and 470 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females.
According to a recent poll the percentage of Americans who would vote for the incumbent president is 53%. If a random sample of 100 people in New York results in 45% who would vote for the incumbent, test the claim that the percentage of people in New York who would vote for the incumbent president is different from 53%. Use a 0.10 significance level.H0: p = 0.53. Ha: p ≠ 0.53.α = 0.10Test statistic: z = -1.60. P-Value = 0.1090State your conclusion about H0.
According to a recent poll, the percentage of Americans who would vote for the incumbent president is 53%. If a random sample of 100 people in New York results in 45% who would vote for the incumbent, test the claim that the percentage of people in New York who would vote for the incumbent president is different from 53%. Use the following results and a 0.10 significance level to state your decision about H0. H0 : p=0.53 H1 : p≠0.53 test statistic: z = -1.6 p value = 0.1090
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
A researcher notes that there seems to be a difference in the prevalence of high blood pressure among college-educated individuals who consume low amounts of processed foods and the prevalence of individuals who only have a high school education and consume high amounts of processed foods. Use the appropriate hypothesis to test for the independence of the two independent variables presented here at the 5% significance level to ensure confounding has not influenced the study’s results. Then, interpret your response. Diet Low in Processed Foods Normal BP High BP Total College Education 124 55 179 High School Education 69 152 221 Total 193 207 400 Diet High in Processed Foods Normal BP High BP Total College Education 64 85 149 High School Education 98 153 251 Total 162 238 400 The chi square value of 37.724 is higher than the chi square value of 3.84; therefore, we can accept H0 at…
The Substance Abuse and Mental Health Services Administration (SAMHSA, 2017) estimates that 10.9% of the population of the United States age 18–24 had an episode of depression in the previous 12 months. Suppose a researcher takes a random sample of 225 United States adults aged 18–24. Determine the value of the sample proportion, p, such that 5% of samples of 225 United States adults age 18–24 are greater than p. You may find software or a z-table useful. Give your answer precise to three decimal places. p = II
In a random sample of 360 women, 63% favored stricter gun control laws. In a random sample of 220 men, 58% favored stricter gun control laws. Test the claim that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control. Use a significance level of 0.05.
A marketing survey involves product recognition in New York and California. Of 36 New Yorkers surveyed, 201 knew the product while 97 out of 306 Californians knew the product. At the 7% significance level, use the critical value method to test the claim that the recognition rates are the same in both states. Enter the smallest critical value. (Round your answer to nearest thousandth.)
Q) A doctor wants to try three different techniques to investigate the blood pressure of people diagnosed with high blood pressure. The first group of subjects takes medication, the second group does exercises, and the third group follows a special diet. A month later, the reduction in each person's blood pressure is recorded. At 5% significance level, test the claim that there is no difference among the means. The data are shown. Medication Exercise Diet 10 5 12 8. 9. 9. 3 12 15 8. 13 2 4

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