A random sample of n = 1,400 observations from a binomial population produced x = 388.(a) If your research hypothesis is that p differs from 0.3, what hypotheses should you test?Ho: p < 0.3 versus H₂: p > 0.3Ho: p = 0.3 versus H₂: p = 0.3Ho: p = 0.3 versus H₂: p < 0.3Ho: p = 0.3 versus H₂: p > 0.3Ho: p = 0.3 versus H₂: p = 0.3(b) Calculate the test statistic and its p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)Z =p-value =Use the p-value to evaluate the statistical significance of the results at the 1% level.Ho is rejected since the p-value is not less than 0.01.Ho is rejected since the p-value is less than 0.01.Ho is not rejected since the p-value is not less than 0.01.Ho is not rejected since the p-value is less than 0.01.(c) Do the data provide sufficient evidence to indicate that p is different from 0.3?Yes, the data provide sufficient evidence to indicate that p is different from 0.3.No, the data do not provide sufficient evidence to indicate that p is different from 0.3.

We have given that n = 1400 x = 388p̂ = x/n = 151/429 = 0.2771 p = 0.3

Answered: A random sample of n = 1,400…

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

Suppose we want to test the null hypothesis H0 : p = 0.60 against the alternative hypothesis Ha : p < 0. Suppose also that we observed 12 successes in a random sample of 20 subjects and the level of significance is 0.01. What is the observed test statistic for this test?
Suppose that you are testing the following hypotheses: Ho: p = .80 and Ha: p # .80. You calculate a test statistic value of z = -6.08. True or False: At a 95% confidence level, which is alpha = .05, you should reject the null hypothesis. True False
Select the most appropriate response. It is claimed that the mean age of bus drivers in Chicago is 59.3 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? Question 2 options: There is not sufficient evidence to reject the claim µ = 59.3. There is sufficient evidence to reject the claim p = 59.3. There is not sufficient evidence to support the claim p = 59.3. There is sufficient evidence to support the claim u = 59.3.
Previously, 3% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 3% today. She randomly selects 145 pregnant mothers and finds that 3 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a = 0.1 level of significance. What are the null and alternative hypotheses? Họ: P = 0.03 versus H4: p < 0.03 (Type integers or decimals. Do not round.) Because npo (1- Po) =|| 10, the normal model V be used to approximate the P-value. (Round to one decimal place as needed.)
Previously, 12.1% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 80 workers and finds that 18 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the x = 0.1 level of significance. What are the null and alternative hypotheses? P = 0.121 versus H1: p Ho: p (Type integers or decimals. Do not round.) > 0.121 Because npo (1- Po) = < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.)
Suppose you have a friend that thinks at least a quarter (25% or 0.25) of all US adults believe in ghosts. Thus, the null hypothesis would be, HO: p = 0.25 Suppose a telephone survey of 1000 randomly selected US adults found that 0.31 or 31% of them say they believe in ghosts. If the null hypothesis is true, the uncertainty or Standard Error in this sample proportion = 0.014 Based on this information, what is the value for the Z-statistic in this hypothesis test? (Round your answer to two decimal places.) Answer:
Previously, 10.4% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 75 workers and finds that 16 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the a = 0.1 level of significance. What are the null and alternative hypotheses? 0.104 versus H1: p Ho: p P = (Type integers or decimals. Do not round.) > 0.104 %3D Because npo (1- Po) 10, the normal model be used to approximate the P-value. %3D (Round to one decimal place as needed.)
It was claimed that 90% of all dentists recommend Tentodyne toothpaste. A consumer group doubted this claim and decided to test Ho: p = 0.9 against the alternate hypoth- esis H₁ : p < 0.9, where p is the proportion of dentists who recommend Tentodyne. A survey of 400 dentists found that 349 recommends this brand of toothpaste. What conclusion can be made at a level of significance of (a) a = 0.05 (b) a = 0.01? Suppose that instead of H₁, the alternative hypothesis was H₂ : p0.9. At 0.05 significance level, what would be the conclusion? Between the two (H₁ and H₂), which is the more appropriate alternative hypothesis in this case? Justify your answer.
The mean length u of male geckos is 9.5 inches. A researcher studying a population of geckos in a certain region will conduct a hypothesis test to investigate whether there is evidence that the mean length is greater than 9.5 inches. A random sample of geckos was selected, and the sample mean i was calculated as 10 inches. Which of the following is the correct set of hypotheses? Họ : = 10 Ha : 5 + 10 A Ho : = 10 Ha : 5 9.5 Họ : 4 = 9.5 На : д<9.5 D Họ : µ = 9.5 Ha : 4 + 9.5 E
A test of the null hypothesis Ho: p = .25 gives a test statistic z = 1.6. What is the p-value if the alternative is Ha: p > .25? What is the p-value if the alternative is Ha: p < .25? What is the p-value if the alternative is Ha: p .25?
A December 2017 Gallup Poll reported that 43% of Americans use the internet for an hour or more each day. You suspect that a greater proportion of students at your school use the internet that much. You take a random sample of 60 students and find that 36 of them use the internet for an hour or more each day. Assume your school has more than 600 students. You will test the hypotheses H, : p = 0.43, H,:p>0.43 , where p= the true proportion of students at your school who use the internet for an hour or more each day. Which of the following gives the correct test statistic for this test? 0.43 - 0.6 Z = (0.6)(0.4) 60 0.43-0.6 (0.6)(0.4) 600 0.6-0.43 (0.6)(0.4) 60 0.6 - 0.43 (0.43)(0.57) 60 36 - 60 (36)(24) 60
In 1945, an organization asked 1480 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 779 responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945? Use the a = 0.1 level of significance. What are the null and alternative hypotheses? Ho: p versus H,:p %3D > (Type integers or decimals.)

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