## Hypothesis Testing: Finding the P-ValueTo determine the P-value for a given hypothesis test with the provided standardized test statistic \( z \), follow these steps and decide whether to reject the null hypothesis (\( H_0 \)) for the specified level of significance \( \alpha \).### Given:- **Type of test:** Two-tailed- **Test statistic:** \( z = -2.04 \)- **Level of significance:** \( \alpha = 0.06 \)### Step-by-step Solution:1. **Find the P-value for the test statistic**: Using the standard normal distribution table or a calculator, lookup the P-value corresponding to \( z = -2.04 \). - P-value calculation includes finding the area under the curve to the left of \( z = -2.04 \) and then doubling it because it is a two-tailed test.2. **Decision rule for rejecting \( H_0 \)**: - If the P-value is less than or equal to \( \alpha \), reject \( H_0 \). - If the P-value is greater than \( \alpha \), do not reject \( H_0 \).### Answer:```plaintextP-value = [ ] (Round to four decimal places as needed.)```This section assists learners in understanding how to calculate and interpret the P-value in the context of hypothesis testing.

Given that Test statistic (z)= -2.04 Level of significance =0.06

Answered: ind the P-value for the indicated…

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

Claim: The mean systolic blood pressure of all healthy adults is less than than 125 mm Hg. Sample data: For 258 healthy adults, the mean systolic blood pressure level is 124.72 mm Hg and the standard deviation is 15.18 mm Hg. The null and alternative hypotheses are Ho: μ = 125 and H₁ : µ< 125. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.)
You wish to test the following claim (HaHa) at a significance level of α=0.002 Ho:μ=81.6 Ha:μ>81.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=74n=74 with mean M=82.6M=82.6 and a standard deviation of SD=17.2SD=17.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 81.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 81.6. The sample data support the claim that the…
A random sample of 172 marketing students was asked to rate, on a scale from 1 (not important) to 5 (extremely important), health benefits as a job characteristic. The sample mean rating was 3.31, and the sample standard deviation was 0.70. Test at the 1% significance level the null hypothesis that the population mean rating is at most 3.0 against the alternative that it is larger than 3.0.
Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 109 points, and so wants to test this hypothesis. The researcher obtain a SRS of 55 student IQ scores from school records and found the mean of the 55 results was 107 with a sample standard deviation of 20. The level of significance (alpha) used for this problem is 0.05. a) State the pair of Hypothesis using proper notation and mathematical symbols for testing the Rowan student's belief as stated above.. E 109 109 H = l07 Null C Null a Null |Alternative Alternative Alternative C a b || v IX IX
You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:p = 0.78 Ha:p > 0.78 You obtain a sample of size n = 654 in which there are 533 successful observations. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... There is enough evidence to show that the population proportion is not greater than 0.78. There is not enough evidence to showthat the population proportion is not greater than 0.78. There is enough evidence to show that that the population proportion is greater than 0.78. There is not enough evidence to show that the population proportion is…
33) Test the claim that the mean GPA of night students is greater than the mean GPA of day students at the 0.025 significance level. The sample consisted of 11 night students, with a sample mean GPA of 2.93 and a standard deviation of 0.03, and 18 day students, with a sample mean GPA of 2.91 and a standard deviation of 0.032.The test statistic is: (to 2 decimals)The p-value is: (to 4 decimals)
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ=53.4 Ha:μ<53.4You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = 45.6 39.8 42.3 45.4 33.4 46.6
Only the marked ones, thank you!
A researcher is interested in studying mean gill beat rates for fish in water with three different levels of calcium. The results of the experiment are stored in below. Set up the null and alternative hypotheses. What is the mean square error? State the F-statistic of the test as well as the p-value of the test. What is the conclusion of the test, in context? Test which two levels of calcium are most likely to find a difference in mean gill rates. State all three pairwise hypothesis tests and the p-values for each test. Calcium GillRate Low 55 Low 63 Low 78 Low 85 Low 65 Low 98 Low 68 Low 84 Low 44 Low 87 Low 48 Low 86 Low 93 Low 64 Low 83 Low 79 Low 85 Low 65 Low 88 Low 47 Low 68 Low 86 Low 57 Low 53 Low 58 Low 47 Low 62 Low 64 Low 50 Low 45 Medium 38 Medium 42 Medium 63 Medium 46 Medium 55 Medium 63 Medium 36 Medium 58 Medium 73 Medium 69 Medium 55 Medium 68 Medium 63 Medium 73 Medium 45…
You wish to test the following claim (HaHa) at a significance level of α=0.05. Ho:μ=57.2 Ha:μ≠57.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=6 with mean M=69.6 and a standard deviation of SD=11.7.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
You wish to test the following claim (H,.) at a significance level of oa = 0.10. H.:p= 0.11 H:p< 0.11 You obtain a sample of size n = 169 in which there are 8 successful observations. Determine the test statistic formula for this test. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the ull ассept O fail to reject the null
ssume a significance level of alpha equals 0.05 and use the given information to complete parts (a) and (b) below. Original claim: The mean pulse rate (in beats per minute) of a certain group of adult males is 71 bpm. The hypothesis test results in a P-value of 0.0099 . a. State a conclusion about the null hypothesis. (Reject Upper H 0 or fail to reject Upper H 0 .) Choose the correct answer below. A. Reject Upper H 0 because the P-value is less than or equal to alpha . B. Fail to reject Upper H 0 because the P-value is less than or equal to alpha . C. Reject Upper H 0 because the P-value is greater than alpha . D. Fail to reject Upper H 0 because the P-value is greater than alpha . b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. There is not…

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

ind the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject Ho for the given level of significance a. Two-tailed test with test statistic z= -2.04 and α = 0.06 C "-value= (Round to four decimal places as needed.)