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When the null hypothesis is rejected, it suggests that there is sufficient evidence to conclude that an effect or difference exists in the data being analyzed. This means that the observed results are unlikely to have occurred by random chance alone, implying that the alternative hypothesis may be true. However, it does not prove the alternative hypothesis; it simply indicates that the null hypothesis is not a plausible explanation for the observed data.
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How is null hypothesis tested?
A null hypothesis states that there is no relationship between two or more variables being studied. The assumption in science is that the null hypothesis is true until sufficient evidence emerges, though statistical testing, to reject the null and support an alternative hypothesis. The exact statistical test depends on the number and type of variables being tested, but all statistical hypothesis tests result in a probability value (p). Generally, the null is rejected when p < .05 representing less than a 5% chance that the relationship between the variables is due to error. This cutoff - called alpha - can be set lower in certain fields or studies, but rarely is set higher.
On average what value is expected for the t statistic when the null hypothesis is true?
When the null hypothesis is true, the expected value for the t statistic is 0. This is because the t statistic is calculated as the difference between the sample mean and the hypothesized population mean, divided by the standard error, and when the null hypothesis is true, these values should be equal, resulting in a t statistic of 0.
What is a statement of no difference in an experimental treatments?
A statement of no difference in experimental treatments, often referred to as the null hypothesis, posits that there is no significant effect or difference between the treatments being compared. It suggests that any observed variations in outcomes are due to chance rather than the treatments themselves. This hypothesis serves as a baseline for statistical testing, allowing researchers to determine if the evidence supports a significant effect or difference when the null hypothesis is rejected.
What are the three parts of a hypotnesis statement?
A hypothesis statement consists of three parts: the null hypothesis (H0), the alternative hypothesis (Ha), and the level of significance (alpha). The null hypothesis states that there is no relationship or difference between variables, while the alternative hypothesis suggests the presence of a relationship or difference. The level of significance determines the threshold for accepting or rejecting the null hypothesis based on statistical testing.
What is meant by the noncritical region?
The noncritical region refers to the range of values in a statistical test where the null hypothesis is not rejected. In hypothesis testing, it is the area of the sampling distribution that falls outside the critical region, indicating that the observed data are consistent with the null hypothesis. In this region, the evidence is insufficient to support an alternative hypothesis. Thus, decisions made within the noncritical region suggest that any observed effects are likely due to random variation rather than a true effect.
What do you call the statement that determines if the null hypothesis is rejected?
The hypothesis test.
Explain what is meant by null hypothesis?
The null hypothesis is an hypothesis about some population parameter. The goal of hypothesis testing is to check the viability of the null hypothesis in the light of experimental data. Based on the data, the null hypothesis either will or will not be rejected as a viable possibility.
What causes hypothesis to be rejected?
We have two types of hypothesis i.e., Null Hypothesis and Alternative Hypothesis. we take null hypothesis as the same statement given in the problem. Alternative hypothesis is the statement that is complementary to null hypothesis. When our calculated value is less than the tabulated value, we accept null hypothesis otherwise we reject null hypothesis.
What is the meaning of null hypthesis being rejected?
You may want to prove that a given statistic of a population has a given value. This is the null hypothesis. For this you take a sample from the population and measure the statistic of the sample. If the result has a small probability of being (say p = .025) if the null hypothesis is correct, then the null hypothesis is rejected (for p = .025) in favor of an alternative hypothesis. This can be simply that the null hypothesis is incorrect.
Is The probability at which the null hypothesis can be rejected with confidence is known as beta?
no
How many types of errors in taking a decision about Ho?
There are two types of errors associated with hypothesis testing. Type I error occurs when the null hypothesis is rejected when it is true. Type II error occurs when the null hypothesis is not rejected when it is false. H0 is referred to as the null hypothesis and Ha (or H1) is referred to as the alternative hypothesis.
What is the difference between a Type I error and a Type II error in hypothesis testing?
In hypothesis testing, a Type I error occurs when a true null hypothesis is incorrectly rejected, while a Type II error occurs when a false null hypothesis is not rejected.
What is meant by null hypothesis rejected?
It tells us that H1,H0 (alternative )hypothesis is selected
What do you call a statement that determines if the null hypothesis is rejected?
it is called structural resources because it has null as word
When can a null hypothesis be rejected?
Usually when the test statistic is in the critical region.
If a test of hypothesis has a type I error probability of 0.01 it means?
It means that, if the null hypothesis is true, there is still a 1% chance that the outcome is so extreme that the null hypothesis is rejected.
What is the mean of a null hypothesis being rejected?
the hypothesis might be correct* * * * *The available evidence suggests that the observations were less likely to have been obtained from random variables that were distributed according to the null hypothesis than under the alternative hypothesis against which the null was tested.
