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

See similar textbooks

Similar questions

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)…
A news article that you read stated that 54% of voters prefer the Democratic candidate. You think that the actual percent is larger. 157 of the 249 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion Correct The null and alternative hypotheses would be: Ho: ? p μ Correct Select an answer ≠ > < = (please enter a decimal) H1: ? μ p Correct Select an answer > < = ≠ (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer fail to reject accept reject the null hypothesis.
A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098. Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample…
Perform the following hypothesis test of a proportion: HO: p = 0.125 HA: p 0.125 The sample proportion is 0.09 based on a sample size of 95. Use a 10% significance level.
The p-value for a hypothesis test turns out to be 0.05015. At a 2% level of significance, what is the proper decision? Reject H0H0 Fail to reject H0
A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized here. Sample Size Sample Mean Population Standard Deviation Men 25 23 5 Women 30 28 10 At the 0.01 significance level, we ask if there is a difference in the mean number of times men and women send a Twitter message in a day. Assume that women are population 1 and men are population 2. What is the p-value for this hypothesis test? Multiple Choice 0.0500 0.0164 0.0001 0.0082
How Much Do You Read? ~ A nation-wide survey conducted in 2019 asked a random sample of US adults, "During the past 12 months, about how many books did you read either all or part of the way through? Please include any print, electronic, or audiobooks you may have read or listened to." The survey results reported the mean number of books read to be 15. 39 Kelly is a library science major and wonders if adults who have a library card report reading more books in a year than the nationally reported mean. She obtains a random sample of 18 adults with a library card from her community library and asks them the same survey question. From her results she calculates a sample mean of 16.7 and a standard deviation of 4.0441.
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
If a treatment is expected to decrease scores on a variable for which the mean is expected to be µ = 50, what is the null hypothesis?
What are the degrees of freedom for this test? d.f.= What is the p-value for this sample?
A study suggests that the 48% of 25 year olds have gotten married. You believe that this is incorrect and decide to collect your own sample for a hypothesis test. From a random sample of 321 25 year olds, you find that 143 of them are married. Test the claim that proportion of 25 year olds have gotten married is different than what was reported. Use a 5% significance level. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an answer ✓ H₁: Select an answer ✓ ? v Based on the hypotheses, compute the following: Test Statistic = ? v p-value = Based on the above we choose to Select an answer The correct summary would be: Select an answer year olds have gotten married is different than what was reported value of 48%. ✓that the proportion of 25
You are conducting a study to see if the proportion of voters who prefer candidates a is significantly different from 0.6. Thus you are performing a two-tailed test. Your sample data produce the test statistics z=-1.65. Find the p-value accurate to 4 decimal places

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