This week, you have read about hypothesis testing and will now apply this knowledge by writing a paper that addresses the following:
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?
A 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.
A 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.
A researcher is interested in whether music played during an exam will improve exam performance. Students in one class listen to music during an exam and students in another class take the exam in silence. The researcher set alpha at 0.05. Test scores for both classes are compared using a statistical software program. The mean test score for the class that listened to music during the exam is 95, while the mean test score for the class that took the exam in silence is 82. The obtained p-value from the independent groups t-test 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.
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