1. What is the difference between Type I and Type II error? How does reducing th
ID: 3132921 • Letter: 1
Question
1. What is the difference between Type I and Type II error? How does reducing the likelihood of committing one affect the likelihood of committing the other when the rejection level is adjusted either up or down from .05?
2. What is the null form of a statement (null hypothesis) for a directional hypothesis about the relationship between the variables age and political party preference?
3. Does a statistically significant relationship between variables mean that there is no possibility that the variables are unrelated? Explain.
4. Which rejection level, .01 and .10, suggests a greater likelihood of a true relationship between variables? Explain.
Explanation / Answer
Type I error
When the null hypothesis is true and you reject it, you make a type I error. The probability of making a type I error is , which is the level of significance you set for your hypothesis test. An of 0.05 indicates that you are willing to accept a 5% chance that you are wrong when you reject the null hypothesis. To lower this risk, you must use a lower value for . However, using a lower value for alpha means that you will be less likely to detect a true difference if one really exists.
Type II error
When the null hypothesis is false and you fail to reject it, you make a type II error. The probability of making a type II error is , which depends on the power of the test. You can decrease your risk of committing a type II error by ensuring your test has enough power. You can do this by ensuring your sample size is large enough to detect a practical difference when one truly exists.
The probability of rejecting the null hypothesis when it is false is equal to 1–. This value is the power of the test.
What is the null form of a statement (null hypothesis) for a directional hypothesis about the relationship between the variables age and political party preference?
Null hypothesis will be : there is a relationship between the variables age and political party
4. Which rejection level, .01 and .10, suggests a greater likelihood of a true relationship between variables? Explain.
the rejection level with a greater alpha ( 0.10) suggest a greater likelihood of a true relationship between variables
when we have a greater alpha we are saying that we are going to tolerate 0.10 percentage of erros
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