In a hypothesis test with hypotheses Ho : p < 0.58 and H1 :p > 0.58, a random sample of size 1144 produced a sample proportionof 0.5910. The test is to be made at the 2.5% significance level.What is the critical value of z?O 1.65O 2.33O 2.58O 1.96What is the value of the test statistic, z, rounded to three decimal places?iWhat is the p-value for this hypothesis test, rounded to four decimal places?iShould you reject or fail to reject the null hypothesis in this test?

Answered: Image /qna-images/answer/62c863ae-e9d5-4e10-bf6f-6333d777f68c.jpg

Answered: In a hypothesis test with hypotheses Ho…

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

In a hypothesis test with hypotheses H0 :pless than or greater than 0.58 and H1 >0.58 , a random sample of size 1,165 produced a sample proportion of 0.6160. The test is to be made at the 2.5% significance level. What is the value of the test statistic, z, rounded to three decimal places?
If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.6792 and ZSTAT=−0.47,what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? Since the p-value is Less than or Greater than or equal to a= , Reject , Do not reject H0.
In testing hypotheses, which of the following would be strong evidence against the null hypothesis?a. Obtaining data with a test statistic of small magnitude.b. Obtaining data with a small P-value.c. Obtaining data with a large P-value.d. Using a large level of significance, α.e. Using a small level of significance, α
The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?
In a hypothesis test with hypotheses Ho: μ = 90 and H1: μ ≠ 90, a random sample of 103 elements selected from the population produced a mean of 94.3. Assume that σ = 22.1, and that the test is to be made at the 5% significance level. What are the critical values of z? Question 45 options:
Given sample sizes n1 = n2 = 10, sample means = 5.2 and =7.1, and sample variances = 4 and = 6.2 using alpha = 0.05, test the hypothesis H0: u1 = u2 against Ha: u1 does not equal u2. A) What assumptions do we need to make about the data to use the central limit theorem? B) What is the value of the appropriate test statisctics?
A random sample of 10 professional athletes produced the following data where X is the number of endorsements the player has and Y is the amount of money made (in millions of dollars). Use the 4 steps of hypothesis testing to see if the prediction is significant with a criteria of alpha=.05 on the following data. x y 0 2 3 8 2 7 1 3 5 13 5 12 4 9 3 9 0 3 4 10
The National Institute of Mental Health published an article stating that in any two-year period, approximately 10.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 150 people in a certain town, eight of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?
A biologist was interested in determining whether specific seedlings treated with a new fertilizer resulted in a higher than average height than the standard height of 11.2 cm. The biologist treated a random sample of 24 seedlings with the fertilizer and subsequently obtained the following heights. Conduct an appropriate hypothesis test using a 5% significance level. What is the null and alternative hypothesis? What is the value of the test stastic? Please show work. 11.5 11.8 15.7 12.1 10.1 10.5 16.5 13.5 14.4 16.7 10.9 10.0 11.1 17.1 13.3 12.4 8.5 14.3 12.9 11.1 15.0 13.3 9.9 13.5
Is there a significant difference in the unemployment rates among Hispanic and white adults in the state of Texas? Based on data collected by the Texas Workforce Commission, 4.6% of 640 randomly selected Hispanic adults are unemployed while 2.8% of 780 randomly selected white adults are unemployed. Does this data provide statistically significant evidence that there is a difference in the unemployment rates between the two groups? a) State the null hypothesis (H0) and the alternative hypothesis (Ha ) for the significance test and the conditions b) assume the conditions are satisfied, identify the test statistic (z or t?) to be used, and show the formula for the test statistic, and enter the appropriate values in the formula. (don’t calculate the test statistic here.) c) Assume that the standard error of the differences in proportions is SE = 0.00995. Using this SE, calculate the value of the test statistic (which you set up in part (b) and find the p-value d) Using a significance…
A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Assume the weights of all the prepackaged meals are normally distributed. Based on the following data, is there any evidence that the meals do not contain the advertised amount of protein? Run the appropriate test at a 5% level of significance. A. What are the appropriate hypotheses? B. What is the critical value(s) of the test? C. What is the test statistic? D. What is the decision rule using the critical values? E. What is the p-value of the test? G. What is your decision?
In analyzing the consumption of cottage cheese by members of various occupational groups, the United Dairy Industry Association found that 326 of 837 professionals seldom or never ate cottage cheese, versus 220 of 489 white-collar workers and 522 of 1243 blue-collar workers (Sheet 53). Assuming independent samples, use the 0.03 level in testing the null hypothesis that the population proportions could be the same for the three occupational groups. Sheet 53 Group 1 Group 2 Group 3 Total seldom or never 326 220 522 1068 often 511 269 721 1501 Total 837 489 1243 2569 Select one: a) chi-square stat = 4.81, crit. value = 7.01, fail to reject H0, population proportions are not different b) p-value = 0.09, reject H0, population proportions are not different c) chi-square stat = 4.81, crit. value = 9.2, fail to reject H0, population proportions are not different d) p-value = 0.029, reject H0, population proportions different

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