![determine the p-value for this hypothesis test calculator determine the p-value for this hypothesis test calculator](http://s3.amazonaws.com/photography.prod.demandstudios.com/02e674d9-d70f-4a32-b2c6-2cc0596da2cf.jpg)
Since –1.645 > –2.08 (which demonstrates that α > p-value), reject H 0.
![determine the p-value for this hypothesis test calculator determine the p-value for this hypothesis test calculator](https://i.pinimg.com/originals/aa/a7/f7/aaa7f76eb8a60910d60ac1b1c9e7d773.png)
The z-score for an area to the left equal to 0.05 is midway between –1.65 and –1.64 (0.05 is midway between 0.0505 and 0.0495). For this problem, = 16, μ X = 16.43 from the null hypothes is, σ X = 0.8, and n = 15.) You can find the critical value for α = 0.05 in the normal table (see 15.Tables in the Table of Contents). (From the Central Limit Theorem, the test statistic formula is. The calculated test statistic for the p-value is –2.08.
![determine the p-value for this hypothesis test calculator determine the p-value for this hypothesis test calculator](https://miro.medium.com/max/1150/1*ZlVQ7yiwbjRrJnV8UgZ4GA.png)
The traditional way to compare the two probabilities, α and the p-value, is to compare the critical value ( z-score from α) to the test statistic ( z-score from data). (Do not reject the null hypothesis when the null hypothesis is false.) The Type II error is that there is not evidence to conclude that Jeffrey swims the 25-yard free-style, on average, in less than 16.43 seconds when, in fact, he actually does swim the 25-yard free-style, on average, in less than 16.43 seconds. (Reject the null hypothesis when the null hypothesis is true.) The Type I error is to conclude that Jeffrey swims the 25-yard freestyle, on average, in less than 16.43 seconds when, in fact, he actually swims the 25-yard freestyle, on average, in 16.43 seconds. The Type I and Type II errors for this problem are as follows: When the calculator does a Z-Test, the Z-Test function finds the p-value by doing a normal probability calculation using the central limit theorem: Make sure when you use Draw that no other equations are highlighted in Y = and the plots are turned off. A shaded graph appears with z = -2.08 (test statistic) and p = 0.0187 ( p-value). Do this set of instructions again except arrow to Draw(instead of Calculate). The calculator not only calculates the p-value ( p = 0.0187) but it also calculates the test statistic ( z-score) for the sample mean. Arrow down to μ : (alternate hypothesis) and arrow over to < μ 0. 8 for σ, 16 for the sample mean, and 15 for n. Arrow down and enter 16.43 for μ 0 (null hypothesis). The following examples illustrate a left-, right-, and two-tailed test. This makes the data analyst use judgment rather than mindlessly applying rules. Similarly, for a large p-value such as 0.4, as opposed to a p-value of 0.056 (alpha = 0.05 is less than either number), a data analyst should have more confidence that she made the correct decision in not rejecting the null hypothesis. Thinking about the meaning of the p-value: A data analyst (and anyone else) should have more confidence that he made the correct decision to reject the null hypothesis with a smaller p-value (for example, 0.001 as opposed to 0.04) even if using the 0.05 level for alpha.H a never has a symbol that contains an equal sign.It is the key to conducting the appropriate test. The alternative hypothesis,, tells you if the test is left, right, or two-tailed.For this reason, we call the hypothesis test left, right, or two tailed. When you calculate the p-value and draw the picture, the p-value is the area in the left tail, the right tail, or split evenly between the two tails.If no level of significance is given, a common standard to use is α = 0.05.The statistician setting up the hypothesis test selects the value of α to use before collecting the sample data.
![determine the p-value for this hypothesis test calculator determine the p-value for this hypothesis test calculator](https://miro.medium.com/max/3200/1*-aqjLkyD-mXsA2Hxa8cKSg.jpeg)
Determine the p value for this hypothesis test calculator full#
Additional Information and Full Hypothesis Test Examples