Suppose that we conduct a test of significance using 5% as our level of significance. What...
Suppose that we conduct a test of significance using 5% as our
level of significance.
What is the probability of making a Type I error (if the null
hypothesis is true)?
Homework Answers
The probability of type I error is equal to the level of significance.
So, Probability of making a Type I error = 0.05
Add Answer to:
Suppose that we conduct a test of significance using 5% as our
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5. We conduct a test of hypothesis using a significance level of 0.05. This implies (a)...
5. We conduct a test of hypothesis using a significance level of 0.05. This implies (a) the test has a 5% chance of H, being true. (b) the test has a 95% chance of a type II error. (c) the test has a 5% chance of being true. (d) none of the above.
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. When we carry out a statistical test with significance level α = 5%, the probability of rejecting the null hypothesis when it is true is 5%. Suppose that we independently select 5 random samples of size 100, and for each sample carry out the same statistical test with significance level 5%. We know that the null hypothesis is true. What is the probability that we reject the null hypothesis at most once out of the 5 tests? (a) 0.02...
Which statement best describes the significance level of a hypothesis test? The probability of obtaining a...
Which statement best describes the significance level of a hypothesis test? The probability of obtaining a sample under the assumption that the null hypothesis is true that is more unusual than the observed sample b. The probability of making a Type 1 error The probability of making a Type Il error. d. The probability of correctly rejecting the null hypothesis.
1. a) For a test at a fixed significance level, and with given null and alternative...
1. a) For a test at a fixed significance level, and with given null and alternative hypotheses, what will happen to the power as the sample size increases? b) For a test of a given null hypothesis against a given alternative hypothesis, and with a given sample size, describe what would happen to the power of the test if the significance level was changed from 5% to 1%. c) A test of a given null hypothesis against a given alternative...
3 When we conduct a hypothesis test, there is always a possibility that our sample data...
3 When we conduct a hypothesis test, there is always a possibility that our sample data will lead us to the wrong conclusion. A Suppose we drew the wrong conclusion in the hypothesis test above on immigration. What type of error would this be? B Explain what must be true about the population for such an error to occur.
Choose the correct definition of significance level from the list below. A significance level is Option...
Choose the correct definition of significance level from the
list below.
A significance level is
Option 1 and 5 are WRONG
Choose the correct definition of significance level from the list below A significance level is the probability of failing to reject the null hypothesis when the alternative hypothesis is true. the minimum acceptable chance of making a type I error. O the probability that an event occurred as a result of a causative factor rather than by chance. the...
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1. Suppose you are going to conduct a two tail test concerning the population mean. Suppose that you do not know what the population standard deviation is and that you have a sample of 55 observations. If you are going to conduct this test at the .01 level of significance what is the critical value? Be sure to enter a positive number and answer to four decimal places. 2.The p-value is? Group of answer choices: the probability of a Type...
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 ag...
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 against the alternative hypothesis: p > 0.5 at a significance level of 5%. (a) Suppose we will reject the null hypothesis when X is smaller than h. Find the value of h. (b) What is the probability of committing a type...
Suppose a hypothesis test is conducted using a significance or alpha level of 0.05, and the...
Suppose a hypothesis test is conducted using a significance or alpha level of 0.05, and the null hypothesis is rejected. This means that? A we would also reject the null hypothesis if the significance level had been 0.10 instead of 0.05. B the p-value was greater than 0.05. C we would also reject the null hypothesis if the significance level had been 0.01 instead of 0.05. D All answer options are correct.
α is the probability of a Type I error, which occurs when we accept the alternative...
α is the probability of a Type I error, which occurs when we accept the alternative H1 when the null hypothesis Ho is true. True False A Type II error occurs when when a false null hypothesis is rejected. True False If a null hypothesis is rejected at the 5% significance level but not at the 1% significance level, then the p-value of the test is less than 1%. True False The power of a test is the probability of...
5. We conduct a test of hypothesis using a significance level of 0.05. This implies (a) the test has a 5% chance of H, being true. (b) the test has a 95% chance of a type II error. (c) the test has a 5% chance of being true. (d) none of the above.
Which statement best describes the significance level of a hypothesis test? The probability of obtaining a sample under the assumption that the null hypothesis is true that is more unusual than the observed sample b. The probability of making a Type 1 error The probability of making a Type Il error. d. The probability of correctly rejecting the null hypothesis.
3 When we conduct a hypothesis test, there is always a possibility that our sample data will lead us to the wrong conclusion. A Suppose we drew the wrong conclusion in the hypothesis test above on immigration. What type of error would this be? B Explain what must be true about the population for such an error to occur.
Choose the correct definition of significance level from the
list below.
A significance level is
Option 1 and 5 are WRONG
Choose the correct definition of significance level from the list below A significance level is the probability of failing to reject the null hypothesis when the alternative hypothesis is true. the minimum acceptable chance of making a type I error. O the probability that an event occurred as a result of a causative factor rather than by chance. the...
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