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

In a manufacturing process a random sample of 36 bolts

In a manufacturing process a random sample of 36 bolts manufactured has a mean length of 3 inches with a standard deviation of .3 inches. What is the 99% confidence interval for the true mean length of the bolt? Please s ...

What was the hellenistic age and how did it come to be what

What was the Hellenistic age and how did it come to be? What are some special characteristics of Hellenistic cities, art, culture, thought, and achievements? What were some of the major contributions of the Hellenistic a ...

1 draw a negatively skewed distribution2 what does it

1. Draw a negatively skewed distribution. 2. What does it indicate if a participant has a z-score of 2.5? -.80? .OO?

The state police are trying to crack down on speeding on a

The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. ...

Asume that you plan to use a significance level of alpha

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test. n1 = 50 n2 = 50 x1 = 8 x2 = 7

Consider the following gameyou pay 100 and a fair 6-sided

Consider the following game. You pay $1.00 and a fair 6-sided die is rolled. If the roll is 1 or 3, then you get your dollar back and the game ends. If the roll is 5, you get $2.00 back (your dollar plus an additional do ...

The wall street journal ceo compensation study analyzed ceo

The Wall Street Journal CEO Compensation Study analyzed CEO pay from many U.S. companies with fiscal year 2008 revenue of at least $5 billion that filed their proxy statements between October 2008 and March 2009. The dat ...

The population of lengths of aluminum-coated steel sheets

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.3 inches. What is the probability that average length of a steel sheet from a sa ...

Risk taking is an important part of investing in order to

Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, portfolio managers give a questionnaire to new customers to measure their desire to take financi ...

A cotton grower in south georgia produces cotton on farms

A cotton grower in South Georgia produces cotton on farms in Statesboro and Brooklet, ships it to cotton gins in Claxton and Millen where it is processed, and then sends it to distribution centers in Savannah, Perry, and ...

  • 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