Purchase Solution

P Value, One and Two Tail Test, Type 1 and 2, Power Analysis

Not what you're looking for?

Ask Custom Question

Provide an example of a hypothesis where a one-tailed hypothesis test would be used.

Provide an example of a hypothesis where a two-tailed hypothesis test would be used.

If a researcher has set alpha at 0.05 for a two-tailed hypothesis test, what is the p-value required to reject the null hypothesis?

An I/O researcher has set alpha at 0.05. When the researcher analyzes the data from the experiment using a software program, she obtains a p-value equal to 0.932. Based on this p-value, should the researcher reject the null hypothesis or fail to reject the null hypothesis? Please explain your answer.

An I/O researcher has set alpha at 0.01. When the researcher analyzes the data from the experiment using a software program, he obtains a p-value equal to 0.04. Based on this p-value, should the researcher reject the null hypothesis or fail to reject the null hypothesis? Please explain your answer.

An I/O practitioner is interested in whether music played during an interview will improve interview performance. Candidates in one group respond to 5 structured interview questions while music plays in the background and candidates in another group respond to 5 structured interview questions without music playing in the background. Candidates are given a rating from 1 (poor) to 5 (excellent) for each question and the mean rating is calculated to determine each candidate's interview score. The researcher set alpha at 0.05. Interview scores for both groups are compared using a statistical software program. The mean score for the candidates that listened to music during the interview is 4.2, while the mean interview score for the candidates that did not hear music during the interview is 3.5.

The obtained p-value is 0.02. Be sure to answer the following questions:
State the null and alternative hypothesis.
Determine if this is a directional or non-directional test. Please explain your answer.
Establish the conclusion of this study based on the p-value and the means provided.
Describe the Type I error for this study.
Describe the Type II error for this study.

An I/O practitioner is planning a study and decides to conduct a power analysis.
What is power? Define power in terms of Type II error.
What three factors determine the power of a study? How does each factor impact the power of a study?
Why is power analysis important in applied I/O research?

Purchase this Solution

Solution Summary

Th solution comprises of detailed answers and explanations of the given questions.

Solution Preview

Provide an example of a hypothesis where a one-tailed hypothesis test would be used.
An example of a hypothesis where a one-tailed hypothesis test would be used is to analyse whether a portfolio's return is greater than the overall market.

Provide an example of a hypothesis where a two-tailed hypothesis test would be used.
An example of a hypothesis where a two-tailed hypothesis test would be used is to analyse whether a portfolio's return is different from that of the overall market.

If a researcher has set alpha at 0.05 for a two-tailed hypothesis test, what is the p-value required to reject the null hypothesis?
If a researcher has set alpha at 0.05 for a two-tailed hypothesis test, then the p-value needs to be equal to or smaller than 0.05 in order to reject the null hypothesis.

An I/O researcher has set alpha at 0.05. When the researcher analyzes the data from the experiment using a software program, she obtains a p-value equal to 0.932. Based on this p-value, should the researcher reject the null hypothesis or fail to reject the null hypothesis? Please explain your answer.
According to C. Andrade, "P value describes a probability, not a certainty." (C. Andrade,2019). The p-value is the probability of obtaining the sample result if the null hypothesis were true. A low p value means that the sample result would be unlikely if the null hypothesis were true and leads to the rejection of the null hypothesis. On the other hand, a high p-value means that the sample result would be likely if the null hypothesis were true and leads to failure of rejecting the null hypothesis. In hypothesis testing, a significance level or alpha value is chosen by the researcher. If the obtained p-value is smaller than the chosen alpha value, the null hypothesis is rejected and if the p-value is greater than the chosen alpha value, the null hypothesis is not rejected.
In the given study, as the obtained p-value (0.932) is greater than the chosen alpha (0.05), the researcher should fail to reject the null hypothesis.
An I/O ...

Solution provided by:
Education
  • MSc, Osmania University
  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
Recent Feedback
  • "Very fast turnaround. Excellent communication! Much appreciated!"
  • "excellent"
  • "excellent"
  • "excellent work"
  • "Fantastic..great solution and very well explained!!!!"
Purchase this Solution


Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.