A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.53. You believe that the proportion is actually less than 0.53. The hypotheses for this test are Null Hypothesis: $ p \geq 0.53 $, Alternative Hypothesis: $ p < 0.53 $. If you select a random sample of 27 people and 18 have a food allergy and/or sensitivity, what is your test statistic and p-value?1) Test Statistic: 1.423, P-Value: 0.9232) Test Statistic: -1.423, P-Value: 0.0773) Test Statistic: -1.423, P-Value: 0.9234) Test Statistic: 1.423, P-Value: 0.0775) Test Statistic: 1.423, P-Value: 1.846The correct answer seems to be option 2.

Answered: Image /qna-images/answer/80500e3b-9b04-476a-b50a-d83b10810f3d.jpg

Answered: A suggestion is made that the…

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 union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.16, and there is good reason to believe that this year's value is different from last year's.The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.43, and computes the standard deviation of the sample to be $1.25. Based on this information, complete the parts below. Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.16. Fill in the blanks to describe a Type I error. 1. A Type I error would be (rejecting) or (failing to reject) the hypothesis 2. That μ is (less than) (less than or = to) (greater than) (greater than or = to) (not = to) or (= to) 3. The number (1.25), (8.43), or (8.16) 4. When, in fact, μ is (= to 1.25) (= to 8.43) (= to 8.16)…
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A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, µ, of foodservice workers in the U.S. Last year's mean hourly wage was $8.16, and there is good reason to believe that this year's value is greater than last year's. The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.46, and computes the standard deviation of the sample to be $1.15. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for the test? Ho OSO O
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