How do we determine if we will reject or retain the null hypothesis?

How do we determine if we will reject or retain the null hypothesis?

After you perform a hypothesis test, there are only two possible outcomes.

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.

How is sampling distribution used in hypothesis testing?

You use the sample standard deviation to approximate the population standard deviation. When you perform a hypothesis test of a single population mean μ using a normal distribution (often called a z-test), you take a simple random sample from the population.

How does sample size influence the outcome of a null hypothesis test?

The correct answer is (A). Increasing sample size makes the hypothesis test more sensitive – more likely to reject the null hypothesis when it is, in fact, false. Thus, it increases the power of the test.

What does the null hypothesis predict about the relationship between variables?

The null hypothesis states that there is no relationship between two population parameters, i.e., an independent variable and a dependent variableDependent VariableA dependent variable is a variable whose value will change depending on the value of another variable, called the independent variable..

How do you find the null hypothesis of a research article?

To write a null hypothesis, first start by asking a question. Rephrase that question in a form that assumes no relationship between the variables. In other words, assume a treatment has no effect. Write your hypothesis in a way that reflects this.

Why do we need a null distribution of the test statistic?

In statistical hypothesis testing, the null distribution is the probability distribution of the test statistic when the null hypothesis is true. If the results of the two sets of data are not outside the parameters of the expected results, then the null hypothesis is said to be true.

What is the distribution of the test statistic under the null hypothesis?

The sampling distribution of the test statistic under the null hypothesis is called the null distribution. When the data show strong evidence against the assumptions in the null hypothesis, the magnitude of the test statistic becomes too large or too small depending on the alternative hypothesis.

How does sample size influence the power of a statistical test?

As the sample size gets larger, the z value increases therefore we will more likely to reject the null hypothesis; less likely to fail to reject the null hypothesis, thus the power of the test increases.

Why does the null hypothesis presume no relationship between variables?

The null hypothesis presumes no relationship between variables due to the context of the scientific method.

Which of the following hypotheses shows no relationship between variables?

The null hypothesis is that there is no relationship between the two variables.