**Hypothesis Testing Overview**You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.001\):- Null hypothesis (\(H_0\)): \(p_1 = p_2\)- Alternative hypothesis (\(H_a\)): \(p_1 > p_2\)**Sample Data**- First population: 255 successes in a sample of size \(n_1 = 521\).- Second population: 140 successes in a sample of size \(n_2 = 346\).For this test, do not use the continuity correction. Use the normal distribution as an approximation for the binomial distribution.**Analysis**1. **Calculate the Test Statistic** What is the test statistic for this sample? (Report answer accurate to three decimal places.) - Test statistic = [Text box for input]2. **Determine the P-value** What is the p-value for this sample? (Report answer accurate to four decimal places.) - P-value = [Text box for input]3. **Evaluate the P-value** The p-value is... - [ ] less than (or equal to) \(\alpha\) - [ ] greater than \(\alpha\) **Instructions for Completion**- Enter the test statistic and p-value in the respective text boxes.- Select whether the p-value is less than (or equal to) or greater than the significance level \( \alpha \). **Decision Based on Test Statistic**The test statistic leads to a decision to:- ○ Reject the null- ○ Accept the null- ○ Fail to reject the null**Final Conclusion**As such, the final conclusion is that:- ○ There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.- ○ There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.- ○ The sample data support the claim that the first population proportion is greater than the second population proportion.- ○ There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

Answered: Image /qna-images/answer/363dfc12-0c31-4fa5-a728-8e8909ba5dbf.jpg

Answered: You obtain 255 successes in a sample of…

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

You are to roll a fair die n=108 times, each time observing the number of dots appearing on the top side of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi, i=1,2,⋯,108. (a) Consider the distribution of the random variable Xi. Find the mean and the standard deviation of the number of dots showing on the uppermost face of a single roll of this die.μXi= ____________ Enter your answer using all the decimals you can.σXi= ____________ Enter your answer using all the decimals you can. (b) What is the probability that the average topside on your tosses will be somewhere between 3.4 and 3.7? Enter your answer using all the decimals you can. _____________ (c) What is the probability that the average of your tosses is greater than 4.15? Enter your answer using all the decimals you can. ______________
In a population, the average IQ is assumed to be 120. To test this assumption a sample of 16 people is selected from this population. The average IQ of this sample is found to be 105 with a standard deviation of 20. Assuming that the IQ scores of the population are normally distributed, we want to test the claim (alternative hypothesis) that population mean is greater than 120. Find the t-value for this sample. You are not asked to do a hypothesis test in this problem. For this reason, level of significance is not given. You only need to find the t-value for the hypothesis test. In your answer, only 1 digit after the decimal will be enough. For example, your answer could be a number like -0.7 or 12.8. (So, the answer might be negative.)
You wish to test the following claim (H.) at a significance level of a = 0.005. Ho:P1 P2 Ha: Pi P2 = 577 from the first population. You obtain 53.5% You obtain 61.7% successes in a sample of size n successes in a sample of size n = 471 from the second population. For this test, youU should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. 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 =
34% of CSU students participate in the Statistics Games while they attend CSU. You take a random sample of 40 students. You want to determine the probability that more than 15 of them have participated in the Statistics games. Since the conditions are met, you decide to use the Normal model to find your answer. What is the z-score for this problem? Hint: You need to use the Continuity Correction. Give your z-score to 2 decimal places.
Can the Normal approximation to the binomial be used when n=20 and p=0.8?
I need help with c and d. I keep getting a high z score
Find the Z- Statistic, for a random sample of size 18 from a normal distribution with σ=3 produced a sample mean of 4.4 with a population mean =5.9. Please only find Z statistics. Type the number only no variable!
You wish to test the following claim (HaHa) at a significance level of α=0.002. Ho:p1=p2 Ha:p1>p2You obtain 256 successes in a sample of size n1=326 from the first population. You obtain 469 successes in a sample of size n2=686 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
The distribution of sample means is not always a normal distribution. Under what circumstances will the distribution of sample means be normal? Check all that apply. When it is based on large samples (n 2 30) When it is based on a population that does not have a normal distribution When it is based on small samples (n < 30) When it is based on large samples (n 2 5) When it is based on samples selected from a population that has a normal distribution
26 The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At α=0.01, can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. Very good stain removal Good stain removal Fair stain removal 0.37 0.75 0.60 0.49 2.66 1.18 0.33 0.46 0.46 1.64 0.33 0.50 0.58 0.41 1.39 (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is ____ and the degrees of freedom for the denominator, d.f.D, is _____ The critical…
It has been determined experimentally that steel wires of a certain length have strength with a mean value of 1 kip and a coefficient of variation of 16%. What is the probability that the strength of such a wire is less than 0.7 kips? Try Type I and Type III asymptotic distributions of extremes and compare the results.
Consider a random sample from the distribution of Binomial, Poisson, Exponential, Gamma, and normal. Let T1 = X + 4 ; T2 = (X – 1); T3 = X1+4X2 – 3X3 & T4 = E7 X; /(n + 1). Find the MSE of each statistics and choose the best statistic.

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