What Does Happen If A Hypothesis Test Produces A Test Score Z Or T That Is Not In The Critical Region What Decision Should Be Made?

if the value of the test statistic falls outside the critical region, then

there is not enough evidence to reject the null hypothesis at the chosen significance level

.

What if T stat is less than critical value?

If the absolute value of the t-value is less than the critical value,

you fail to reject the null hypothesis

. You can calculate the critical value in Minitab or find the critical value from a t-distribution table in most statistics books.

What will be the decision if the T critical value is greater than the T computed value?

If the absolute value of the calculated t-statistic is larger than the critical value of t, we

reject the null hypothesis

.

What is the correct decision in a hypothesis if the data produce a t statistic that is in the critical region?

The decision rule is

to reject the null hypothesis H

₀


if the observed value t

_obs

is in the critical region, and not to reject the null hypothesis otherwise.

What is Z value in hypothesis testing?

Z-test is a statistical test

to determine whether two population means are different when the variances are known

and the sample size is large. Z-test is a hypothesis test in which the z-statistic follows a normal distribution. A z-statistic, or z-score, is a number representing the result from the z-test.

What is the T critical value?

The t-critical value is

the cutoff between retaining or rejecting the null hypothesis

. … If the t-statistic value is greater than the t-critical, meaning that it is beyond it on the x-axis (a blue x), then the null hypothesis is rejected and the alternate hypothesis is accepted.

What is the critical value at the 0.05 level of significance?

The level of significance which is selected in Step 1 (e.g., α =0.05) dictates the critical value. For example, in an upper tailed Z test, if α =0.05 then the critical value is

Z=1.645

.

How do you reject the null hypothesis with p-value?

If the

p-value is less than 0.05

, we reject the null hypothesis that there’s no difference between the means and conclude that a significant difference does exist. If the p-value is larger than 0.05, we cannot conclude that a significant difference exists. That’s pretty straightforward, right? Below 0.05, significant.

How do you know when to reject the null hypothesis?

1. When your p-value is less than or equal to your significance level, you reject the null hypothesis. The data favors the alternative hypothesis. …
2. When your p-value is greater than your significance level, you fail to reject the null hypothesis.

What if p-value is less than alpha?

Using P values and Significance Levels Together

If your P value is less than or equal to your alpha level,

reject the null hypothesis

. The P value results are consistent with our graphical representation. The P value of 0.03112 is significant at the alpha level of 0.05 but not 0.01.

How do you find the level of significance in a hypothesis test?

The level of significance is the probability that we reject the null hypothesis (in favor of the alternative) when it is actually true and is also called the Type I error rate.

α = Level of significance = P(Type I error) = P(Reject H

₀

| H

₀

is true)

. Because α is a probability, it ranges between 0 and 1.

How did you determine the critical region?

➢ To determine the critical region for a normal distribution, we use

the table for the standard normal distribution

. If the level of significance is α = 0.10, then for a one tailed test the critical region is below z = -1.28 or above z = 1.28. … For a two tailed test, use α/2 = 0.05 and then t = -1.725 and t = 1.725.

What is p-value in Z test?

The uncorrected p-value associated with a 95 percent confidence level is

0.05

. If your z-score is between -1.96 and +1.96, your uncorrected p-value will be larger than 0.05, and you cannot reject your null hypothesis because the pattern exhibited could very likely be the result of random spatial processes.

How do you interpret Z test?

The value of the z-score tells

you how many standard deviations you are away from the mean

. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.

What is F test used for?

ANOVA uses the F-test to

determine whether the variability between group means is larger than the variability of the observations within the groups

. If that ratio is sufficiently large, you can conclude that not all the means are equal.