**P-Value Analysis for Hypothesis Testing**Two possible p-values are given for a test. Which one provides the strongest evidence against the null hypothesis (H₀)?- ○ p-value = 0.200- ○ p-value = 0.07**Explanation:**In hypothesis testing, the p-value indicates the strength of evidence against the null hypothesis. A smaller p-value suggests stronger evidence to reject the null hypothesis.- A p-value of 0.200 suggests weaker evidence against H₀.- A p-value of 0.07 suggests stronger evidence against H₀ than 0.200, but may not be strong enough for traditional significance levels (e.g., 0.05).**Conclusion:** The p-value of 0.07 provides stronger evidence against the null hypothesis compared to 0.200.---This is an educational activity to help understand the concept of p-values and how they influence decisions in statistical hypothesis testing.

Two possible are given for the testp value=0.200p value=0.07The Smaller p-value indicates the…

Answered: Two possible p-values are given for a…

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

What is the correct decision for a test of the difference in two proportions if the test statistic is 1.99, n1 = 150, n2 = 225, and α = .02?
10.4 In a one-way ANOVA test, the test statistic is F = 4.25. The rejection region is F > 3.06 for the 5% level of significance, F > 3.8 for the 2.5% level of significance, and F > 4.89 for the 1% level of significance. For this test, which of the following is a valid statement about the approximate p-value? a. It is between 0.01 and 0.025 b. .It is approximately 0.05. c. It is between 0.025 and 0.05 d. .It is greater than 0.05.
Suppose ?1 and ?2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-sample t test at significance level 0.01 to test H0: ?1 − ?2 = −10 versus Ha: ?1 − ?2 < −10 for the following data: m = 8, x = 114.8, s1 = 5.01, n = 8, y = 129.9, and s2 = 5.35. Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
You wish to test the following claim (H.) at a significance level of a = 0.002. H.:p1 – P2 = 0 P2 > 0 You obtain a sample from the first population with 384 successes and 63 failures. You obtain a sample from the second population with 606 successes and 116 failures. 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 = %3D The p-value is... O less than (or equal to) a greater than a 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... O There is enough evidence to show that the first population proportion is not greater than the second population proportion. There is not enough evidence to show that the first population proportion is not greater than the second population proportion. There is enough evidence to…
The manufacturer claims that your new car gets 32 mpg on the highway. You suspect that the mpg is more for your car. The 69 trips on the highway that you took averaged 35.7 mpg and the standard deviation for these 69 trips was 12.4 mpg. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer ≠ = < > H1:H1: ? μ p Select an answer ≠ > = < The test statistic ? t z = (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 reject fail to reject accept the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly more than 32 at αα = 0.05, so there is statistically insignificant…
The test statistic of z = 2.05 is obtained when testing the claim that p > 0.4. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.10, should we reject H0 or should we fail to reject H0?
A medical equipment manufacturer believes that the proportion of faulty blood pressure monitors is greater than 0.11, the proportion stated by the supplier. We perform a hypothesis test at a significance level of 0.05 with the null and alternative hypothesis as follows: Ho: p = 0.11 and Ha: p < 0.11. A researcher inspects 150 items and finds 25 faulty ones. She gives a p-value of 0.01 in her analysis. Which of the following definitions is the correct interpretation of the p-value? O The probability of getting 25 or more faulty blood pressure monitors out of 150 if the true faulty rate is 0.11. The value that the z-statistic must be less than in order to reject the null hypothesis. The probability of rejecting a true null hypothesis. O The probability that the true rate of faulty items is 0.01.
You wish to test the following claim (Ha) at a significance level of a = 0.001. H,:P = P2 Ha:pi > p You obtain 303 successes in a sample of size n = 488 from the first population. You obtain 159 successes in a sample of size ry = 266 from the second population. What is the test statistic for this sample? 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 O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O The sample data support the claim that the first population…
With 0.05 significance level, H1: p > 0.5, and the value of test statistics is z = 1.25. Then the P-value is equal to 0.8944 -0.1056 0.1056 None
Construct the 99.5% confidence interval for the difference p, - p, when x, = 50, n, = 75, x, = 65, and n, = 151. Round the answers to three decimal places. A 99,5% confidence interval for the difference between the two proportions is
What are the confidence intervals for: Mean= 5.9 Sd= 3 N=200 α= .01
You wish to test the following daim (Ha) at a significance level of a = 0.001. H.:P1 2 P2 Ha:P1 < P2 You obtain a sample from the first population with 244 successes and 117 failures. You obtain a sample from the second population with 523 successes and 202 failures. test statistic = [three decimal accuracy] p-value = [four decimal accuracy) The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null hypothesis O fail to reject the null hypothesis As such, the final condusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.

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

Two possible p-values are given for a test. Which one provides the strongest evidence against H O p-value = 0.200 O p-value = 0.07