10.27 Interpret the results about the hypothesis testing of twoproportions:a. Comment if the null hypothesis should be rejected at 0.05 levelof significance when the p-value was calculated as 0.047.b. Comment if the null hypothesis should be rejected at 0.01 levelof significance when the p-value was calculated as 0.023.

Answered: 10.27 Interpret the results about 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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Assume a significance level of a = 0.05 and use the given information to complete parts (a) and (b) below. Original claim: Less than 46% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.1652. a. State a conclusion about the null hypothesis. (Reject H, or fail to reject Ho.) Choose the correct answer below. O A. Fail to reject Ho because the P-value is less than or equal to a. O B. Reject Ho because the P-value is greater than a. O C. Fail to reject H, because the P-value is greater than a. O D. Reject H, because the P-value is less than or equal to a. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? O A. The percentage of adults that would erase all of their personal information online if they could is more than or equal to 46%. O B. There is sufficient evidence to support the claim that the percentage of adults that…
Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Identify the independent and dependent variables. In a sentence, state the null hypothesis being tested. c. Using symbols, state the null and alternative hypotheses
Assume a significance level of a = 0.05 and use the given information to complete parts (a) and (b) below. Original claim: More than 55% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.2616. a. State a conclusion about the null hypothesis. (Reject H, or fail to reject Hn.) Choose the correct answer below. O A. Reject H, because the P-value is less than or equal to a. O B. Reject H, because the P-value is greater than a. OC. Fail to reject H, because the P-value is greater than a. O D. Fail to reject H, because the P-value is less than or equal to a. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? O A. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 55%. O B. There is sufficient evidence to support…
The test statistic of z = 2.47 is obtained when testing the claim that p > 0.8. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of a = 0.05, should we reject Ho or should we fail to reject Ho? A. Fail to reject Ho. There is not sufficient evidence to support the claim that p > 0.8. B. Reject Ho. There is not sufficient evidence to support the claim that p > 0.8 C. Fail to reject Ho. There is sufficient evidence to support the claim that p > 0.8. D. Reject Ho. There is sufficient evidence to support the claim that p > 0.8.
For a certain hypothesis test, the computed z-value is 2.98 while the critical z-value is 2.33. The corresponding p-value for this test is A. Lesser than the significance level. B. Greater than the significance level. C. Equal to the significance level.
Test the claim that the proportion of men who own cats is significantly different than 70% at the 0.1 significance level.The null and alternative hypothesis would be: a.) H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 b.)H0:μ=0.7H0:μ=0.7H1:μ>0.7H1:μ>0.7 C.) H0:μ=0.7H0:μ=0.7H1:μ<0.7H1:μ<0.7 D.) H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 E.) H0:p=0.7H0:p=0.7H1:p>0.7H1:p>0.7 F.) H0:p=0.7H0:p=0.7H1:p<0.7H1:p<0.7 The test is: A.)two-tailed B.)right-tailed C.)left-tailed Based on a sample of 30 people, 61% owned catsThe test statistic is: (to 2 decimals) = The positive critical value is: (to 2 decimals)=Based on this we: a.)Fail to reject the null hypothesis B.)Reject the null hypothesis
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The test statistic of z=1.75 is obtained when testing the claim that p≠0.432. a. Identify the hypothesis test as being two-tailed, left-tailed, or right- tailed. b. Find the P-value. c. Using a significance level of α=0.05, should we reject H0 or should we fail to reject H0? A. This is a___ test. B. P-values=____ C. What is the correct conclusion? Reject H0 or Fail to reject H0?
For the given scenario, determine the type of error that was made, if any. (Hint: Begin by determining the null and alternative hypotheses.) Researchers state 2.5 hours as the mean amount of television watched by children per night. One parent claims that the mean amount of television watched by children per night is less than 2.5 hours. The parent conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the mean amount of television watched by children per night is 2.3 hours. Was an error made? If so, what type?
In the past, the mean lifetime for a certain type of flashlight battery has been 9.5 hours. The manufacturer has introduced a change in the production method and wants to perform a significance test to determine whether the mean lifetime has increased as a result. The hypotheses are: null: μ = 9.5 hours alternative: u 9.5 hours Suppose that the results of a significance test result in a rejection of the null hypothesis. If we later find out that the true population running time was actually equal to 10.5, what error has been committed? Type I and Type II error Type II error no error Type I error
Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). The test statistic in a two-tailed test is z=1.95. A. 0.9744; fail to reject the null hypothesis B. 0.0512; fail to reject the null hypothesis C. 0.0512; reject the null hypothesis D. 0.0256; reject the null hypothesis
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