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What does the critical value Z a denote?

The critical value ( Z_a ) denotes the z-score that corresponds to a specified significance level ( a ) in a standard normal distribution. It is used in hypothesis testing to determine the threshold beyond which the null hypothesis is rejected. For example, in a one-tailed test, ( Z_a ) indicates the point at which the area under the curve to the right (or left, depending on the test) equals ( a ). In a two-tailed test, it helps define the critical regions in both tails of the distribution.


What does the z-value in statistics have to do with the level of confidence?

A z-value by itself, has nothing to do with level of confidence.A z-value can be used to calculate probabilities of observing a result that is at least as far from the mean. That probability measure can be used to calculate the level of confidence but you need to be careful about using the one-tailed or two-tailed measures - as appropriate.A z-value by itself, has nothing to do with level of confidence.A z-value can be used to calculate probabilities of observing a result that is at least as far from the mean. That probability measure can be used to calculate the level of confidence but you need to be careful about using the one-tailed or two-tailed measures - as appropriate.A z-value by itself, has nothing to do with level of confidence.A z-value can be used to calculate probabilities of observing a result that is at least as far from the mean. That probability measure can be used to calculate the level of confidence but you need to be careful about using the one-tailed or two-tailed measures - as appropriate.A z-value by itself, has nothing to do with level of confidence.A z-value can be used to calculate probabilities of observing a result that is at least as far from the mean. That probability measure can be used to calculate the level of confidence but you need to be careful about using the one-tailed or two-tailed measures - as appropriate.


What two critical values of t from the t-distribution would you use to have 99 percent probability -area- for accepting the null hypothesis if you had df8?

91


The advantages of One-tailed and two-tailed test?

The choice of one-tailed or two-tailed tests follows the logic of the hypothesis that is being tested! The one-tailed test, if appropriate, will be more powerful.


Why is the type one error 0.0027?

The type I error is 0.0027 only when a two tailed test is used with a z-score of ±3. There are many occasions when a one-tailed test is more appropriate and with the same test would have half the Type I error. Furthermore, it is more usual for the researcher to specify the type I error first - 0.05, 0.01 or 0.001 are favourites - and to select one-or two-tailed critical region after that. It is, therefore, more likely that the Type I error is a "round" number (5%, 1% or 0.1%) while the critical z-score is not.

Related Questions

What is the critical z value thst corresponds to a confidence level of 88 percent?

The answer will depend on whether the critical region is one-tailed or two-tailed.


What is the Z value for 90 percent confidence interval estimation?

The answer depends on whether the test is one-tailed or two-tailed.One-tailed: z = 1.28 Two-tailed: z = 1.64


What does the z-value in statistics have to do with the level of confidence?

A z-value by itself, has nothing to do with level of confidence.A z-value can be used to calculate probabilities of observing a result that is at least as far from the mean. That probability measure can be used to calculate the level of confidence but you need to be careful about using the one-tailed or two-tailed measures - as appropriate.A z-value by itself, has nothing to do with level of confidence.A z-value can be used to calculate probabilities of observing a result that is at least as far from the mean. That probability measure can be used to calculate the level of confidence but you need to be careful about using the one-tailed or two-tailed measures - as appropriate.A z-value by itself, has nothing to do with level of confidence.A z-value can be used to calculate probabilities of observing a result that is at least as far from the mean. That probability measure can be used to calculate the level of confidence but you need to be careful about using the one-tailed or two-tailed measures - as appropriate.A z-value by itself, has nothing to do with level of confidence.A z-value can be used to calculate probabilities of observing a result that is at least as far from the mean. That probability measure can be used to calculate the level of confidence but you need to be careful about using the one-tailed or two-tailed measures - as appropriate.


What two critical values of t from the t-distribution would you use to have 99 percent probability -area- for accepting the null hypothesis if you had df8?

91


The advantages of One-tailed and two-tailed test?

The choice of one-tailed or two-tailed tests follows the logic of the hypothesis that is being tested! The one-tailed test, if appropriate, will be more powerful.


Why is an ANOVA test one-tailed?

The short answer is ANOVA is not one-tailed.


What is the critical z value that corresponds to a confidence level of 92 percent?

It depends on whether the interval is one sided or two sided. The critical value for a 2-sided interval is 1.75


What is the indicated z score for 0.9693?

The one-tailed z-value is: P(Z < z) = 0.9693 => z = 1.8706


Why is the type one error 0.0027?

The type I error is 0.0027 only when a two tailed test is used with a z-score of ±3. There are many occasions when a one-tailed test is more appropriate and with the same test would have half the Type I error. Furthermore, it is more usual for the researcher to specify the type I error first - 0.05, 0.01 or 0.001 are favourites - and to select one-or two-tailed critical region after that. It is, therefore, more likely that the Type I error is a "round" number (5%, 1% or 0.1%) while the critical z-score is not.


What is the advantage of a one-tailed test?

A one tailed test allows you to test a one-sided hypothesis.


What is the difference between one-tailed and two-tailed test?

no tail


Which is bigger -.04 or -.050?

0.010000000000000002