Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

From the given research, compare the major players better at batting than 20 years ago using five step hypothesis.

Hypothesis testing is a scientific process in which a problem, problem, or opportunity is answered. There is a five-step procedure that is used to reveal a response statistically. This process will assist in looking closer at Major League Baseball data

Research problem/Problem/Opportunity

Major League baseball gives many opportunities to research the game. For this scenario, the present day batting averages will be compared to those from 20 years ago. Therefore, hypothesis testing procedures will help answer the problem, are major league baseball players better at batting now than compared to those 20 years ago?

Five Step Hypothesis Results

The hypothesis testing procedure was used to test the research problem included the following five steps:

1. Status the hypotheses.

2. Choose a level of significance.

3. Set up the decision rule

4. Compute the test statistic. And,

5. Create a decision.

Condition the Hypotheses

When trying to formulate the answer to analyzing the average batting average between today's baseball teams and the baseball teams of 20 years ago, the first step is to formulate a hypothesis. For this scenario, hypotheses were formulated using a right-tailed test based on the statistical problem at hand. The null hypothesis states that the batting averages of today's teams are the same as or lower than the average from 20 years ago. Given this null hypothesis, the alternate hypothesis must state that the batting averages of today's teams are higher than the average from 20 years ago. The hypotheses stated numerically are as follows:

H0 = BA ≤ 0.252

H1 = BA > 0.252.

Select a Level of Significance

A 95 percent confidence interval is a commonly used to help limit the amount of type I and type II errors; therefore, this confidence interval was used in the testing procedures. The 95% confidence interval leaves a 5% or .05 significance level of rejecting the null hypothesis. In other words, if the resulting calculations fall within the right 5% tail of the data, the null hypothesis would be rejected.

Establish the Decision Rule

Given the alternate hypothesis, it is determined that a right-tailed test needs to be performed. "The decision rule uses the known sampling distribution of the test statistic to establish a threshold called the critical value" (Doane & Seward, 2007). If the test statistic is greater than the critical value, then it falls within the rejection region; thus, the null hypothesis would be rejected. The critical value in this test is determined to be 0.267. Therefore, H0 is rejected if the test statistic is greater than 0.267.

find out the Test Statistic

The data set that was used in this hypothesis testing procedure consisted of a sample size of 30. Given the sample size, it is determined that a z-test should be used to test the hypothesis. By using the Excel MegaStat add-in, the test statistic was find outd to be 0.264 (see Appendix B for more results).

Make a Decision

Upon completing the hypothesis test, a decision can be made on whether or not to reject the null hypothesis. Since the test statistic of 0.264 does not fall within the rejection region of the test, the null hypothesis cannot be rejected.

How the Hypothesis Results Answer the Research problem

Since the hypothesis testing did not reject the null hypothesis, the research problem cannot be conclusively answered. The hypotheses can be re-evaluated and more data can be recollected in order to conduct the testing again. The hypothesis testing procedure did reveal that the batting averages of the sample were higher than the average 20 years ago. Though, there was not enough of a difference to state that all batting averages of present day are higher than those of 20 years ago.

The 5-step hypothesis testing procedure scientifically analyzes the data of a sample to compare it to a set figure in order to answer a research problem. While the null hypothesis fails to be rejected, the research problem cannot be answered with certainty. In the scenario with the Major League baseball batting average data, the hypothesis testing was inconclusive.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M921778

Have any Question? 


Related Questions in Statistics and Probability

Let a be a matching not necessarily stable and let maom be

Let A be a matching (not necessarily stable), and let MA,Om be the set of men who prefer the women to whom they are matched under A to the women to whom they are matched under the men's courtship matching Om. (a) Prove t ...

I love juliet and i know that juliet loves me but i do not

I love Juliet, and I know that Juliet loves me, but I do not know if Juliet knows that I love her. Provide an Aumann model of incomplete information that describes this situation, and specify a state of the world in that ...

Use the inverse transform method to generate a sample of

Use the inverse transform method to generate a sample of the exponential distribution with parameter θ, which is given by its density             1/θe -x/θ   for x ≥ 0 f(x) =             0             for x where θ is a ...

The us express reported that the color distribution for

The US Express reported that the color distribution for plain M&M's was: 40%brown, 20% yellow, 20% orange, 10% green, and 10% tan. Each piece of candy in a random sample of 100 plain M&M's was classified according to col ...

A social psychologist is interested in whether the type of

A social psychologist is interested in whether the type of music a college student is listening to will have any effect on the number of beers the student drinks. Fifteen college students were randomly assigned to one of ...

1 why must researchers ensure that their experimental

1. Why must researchers ensure that their experimental groups are roughly equivalent before manipulating the independent variable? 2. Discuss the relative advantages and disadvantages between within-subjects designs and ...

A simple random sample of 120 men results in a mean of 80

A simple random sample of 120 men results in a mean of 80 beats per minute, and a standard deviation of 11 beats per minute. Based on the sample results, the researcher concludes that the pulse rates of men have a standa ...

1 why is it possible to consider anova as a special case of

1. Why is it possible to consider ANOVA as a special case of regression? 2. Give an example of when simultaneous, hierarchical, and stepwise multiple regression analyses might be used in research. 3. How is a log linear ...

1 in stepwise regression why might a predictor variable

1. In stepwise regression, why might a predictor variable that correlates highly with the criterion variable not enter into the regression equation? 2. Explain how you would use regression analysis to see whether variabl ...

Microsoft word - stat Microsoft Word - STAT Assignment 1.

Microsoft Word - STAT Assignment 1. Anationalrepresentativesurveyofstudentsingrades7-12askedaboutthe experience of these students with respect to sexual harassment. The students were asked whether or not they were harass ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro