Statistics - The decision to reject or fail to reject a null hypothesis is based on computing
critical value level of significance test statistic |
0.2966 0.8517 0.7034 |
we choose a different level of significance we fail to reject the null hypothesis the hypothesis test is inconclusive |
sample statistics population parameters individuals |
two six three |
the probability of making a Type II error the probability of making a Type I error the probability of correctly rejecting the null hypothesis |
populations individuals sampling errors |
H0 H1 HAl |
probability of incorrectly rejecting the null hypothesis when it is actually true probability of incorrectly failing to reject the null hypothesis when it is actually false probability of correctly rejecting the null hypothesis when it is indeed false |
the power of the test the probability of a Type II error the sample size |
describes an existing theory or belief that is accepted as correct in the absence of contradictory data is based on new information provided by sample data is based on new information provided by population data |
have only upper critical values have both upper and lower critical values do not have any critical values |
(0.084, -0.270) (-0.084, 0.270) (-0.139, 0.326) |
better safe than sorry. the theory of relativity the central limit theorem |
data sets assumptions propositions |
specifies a direction of relationship is structured as "=" falls in the upper tail of the distribution |
the test for equality of variances is conducted, and if the variances are not equal the t-test in Excel should not be used the test for equality of variances is conducted to determine if the variances are equal and thereby choose the appropriate t-test in Excel it is always assumed that the population variances are unequal |
0.25 0.05 0.0005 |
means distributions proportions |
chi-square test for independence Levene's test for homogeneity of variances independent samples t-test |
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Solution: Statistics - The decision to reject or fail to reject a null hypothesis is based on computing