Null and alternative hypothesis test calculator
![null and alternative hypothesis test calculator null and alternative hypothesis test calculator](https://www.dummies.com/wp-content/uploads/359913.image1.png)
Since the p-value (0.0045) is less than the significance level (0.01) we reject the null hypothesis. We can plug in the raw data for each sample into this Paired Samples t-test Calculator to calculate the test statistic and p-value: We will choose to use a significance level of 0.01. H 1: μ before ≠ μ after (the two population means are not equal).H 0: μ before = μ after (the two population means are equal).We will perform the paired samples t-test with the following hypotheses: We can use the following steps to perform a paired samples t-test: Then, we may have each player use the training program for one month and then measure their max vertical jump again at the end of the month: To test this, we may recruit a simple random sample of 20 college basketball players and measure each of their max vertical jumps. Example 3: Paired Samples t-testĪ paired samples t-test is used to compare the means of two samples when each observation in one sample can be paired with an observation in the other sample.įor example, suppose we want to know whether or not a certain training program is able to increase the max vertical jump of college basketball players. We do not have sufficient evidence to say that the mean weight of turtles between these two populations is different. Since the p-value (0.2149) is not less than the significance level (0.10) we fail to reject the null hypothesis. We can plug in the numbers for the sample sizes, sample means, and sample standard deviations into this Two Sample t-test Calculator to calculate the test statistic and p-value: We will choose to use a significance level of 0.10. H 1: μ 1 ≠ μ 2 (the two population means are not equal).H 0: μ 1 = μ 2 (the two population means are equal).We will perform the two sample t-test with the following hypotheses: We can use the following steps to perform a two sample t-test: We go out and collect a simple random sample from each population with the following information: Example 2: Two Sample t-testĪ two sample t-test is used to test whether or not two population means are equal.įor example, suppose we want to know whether or not the mean weight between two different species of turtles is equal. We conclude that there is sufficient evidence to say that the mean weight of turtles in this population is not equal to 310 pounds. Since the p-value (0.0015) is less than the significance level (0.05) we reject the null hypothesis. We can plug in the numbers for the sample size, sample mean, and sample standard deviation into this One Sample t-test Calculator to calculate the test statistic and p-value: We will choose to use a significance level of 0.05. H A: μ ≠ 310 (population mean is not equal to 310 pounds).H 0: μ = 310 (population mean is equal to 310 pounds).
![null and alternative hypothesis test calculator null and alternative hypothesis test calculator](https://i.stack.imgur.com/gJjlo.png)
We will perform the one sample t-test with the following hypotheses: Step 1: State the Null and Alternative Hypotheses We can use the following steps to perform a one sample t-test: We go out and collect a simple random sample of 40 turtles with the following information: Example 1: One Sample t-testĪ one sample t-test is used to test whether or not the mean of a population is equal to some value.įor example, suppose we want to know whether or not the mean weight of a certain species of turtle is equal to 310 pounds. The following examples show when to reject (or fail to reject) the null hypothesis for the most common types of hypothesis tests. In other words, if the p-value is low enough then we must reject the null hypothesis. You can use the following clever line to remember this rule: If the p-value is not less than the significance level, then you fail to reject the null hypothesis. If the p-value is less than the significance level, then you reject the null hypothesis. Reject or fail to reject the null hypothesis. Use the sample data to calculate a test statistic and a corresponding p-value.Ĥ.
![null and alternative hypothesis test calculator null and alternative hypothesis test calculator](https://www.sixsigma-institute.org/sixsigma_images/six_sigma_hypothesis_test_null_and_alternate_summary.jpg)
Calculate the test statistic and p-value. Determine a significance level to use.ĭecide on a significance level.
![null and alternative hypothesis test calculator null and alternative hypothesis test calculator](https://www.xycoon.com/images/ht_mean_knownvar62.png)
The alternative hypothesis, denoted as H A, is the hypothesis that the sample data is influenced by some non-random cause.Ģ. The null hypothesis, denoted as H 0, is the hypothesis that the sample data occurs purely from chance. Step 1: State the null and alternative hypotheses. We always use the following steps to perform a hypothesis test: A hypothesis test is a formal statistical test we use to reject or fail to reject a statistical hypothesis.