If the chosen significance level is α = 0.05, then ________. A) there is a 5%...
If the chosen significance level is α = 0.05, then
________.
A) there is a 5% probability of rejecting a true null
hypothesis
B) there is a 5% probability of accepting a true null
hypothesis
C) there is a 5% probability of rejecting a false null
hypothesis
D) there is a 5% probability of accepting a false null
hypothesis
Homework Answers
Option A) is correct.
A) there is a 5% probability of rejecting a true null hypothesis
Level of significance.
Add Answer to:
If the chosen significance level is α = 0.05, then
________.
A) there is a 5%...
. When we carry out a statistical test with significance level α = 5%, the probability...
. 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...
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...
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...
If a null hypothesis is rejected at the 0.10 significance level but not at the 0.05...
If a null hypothesis is rejected at the 0.10 significance level but not at the 0.05 significance level, then the p-value of the test is between 0.05 and 0.10. True or false?
Assume a researcher published a paper rejecting a null hypothesis at the 1% level of significance...
Assume a researcher published a paper rejecting a null hypothesis at the 1% level of significance (that is, α = 0.01), which of the following statements is true? The finding may not be significant since it was not tested at an alpha level of 0.05 You cannot make any assumptions about the alpha at the 5% level without first calculating the value from the published data It is 5 times as likely the null hypothesis would be accepted at the...
A hypothesis test is performed at the α = 0.05 level of significance. The p-value is...
A hypothesis test is performed at the α = 0.05 level of significance. The p-value is determined to be 0.03. Therefore, we know that we would _______________. either reject or fail to reject the null hypothesis, depending on the value of the test statistic. reject the null hypothesis know that a 99% confidence interval would contain the value specified in the null hypothesis. fail to reject the null hypothesis
1. In testing hypotheses, the researcher initially assumes that the alternative hypothesis is true and uses the sample d...
1. In testing hypotheses, the researcher initially assumes that the alternative hypothesis is true and uses the sample data to reject it. True False 2. The first step in testing a hypothesis is to establish a true null hypothesis and a false alternative hypothesis. True False 6. The power curve provides the probability of Correctly accepting the null hypothesis Incorrectly accepting the null hypothesis Correctly rejecting the alternative hypothesis Correctly rejecting the null hypothesis 7. Suppose that Ho: μ ≤...
Conduct the following test at the α = 0.05 level of significance by determining (a) the...
Conduct the following test at the α = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1≠p2. Sample data are x1=30, n1=254, x2=36, and n2=302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: p1=0 versus H1: p1=0 B. H0: p1=p2 versus H1: p1<p2 C. H0: p1=p2 versus H1: p1>p2...
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.
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...
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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