In Hypothesis testing, if the significance value of the test is greater than the predetermined significance level, then we accept the null hypothesis If the significance value is less than the predetermined value, then we should reject the null hypothesisA hypothesis test would fail to reject the hypothesis that μ = 100 You can't determine whether the true mean output of the machine is equal to 100 or not When μ o or p o is inside the 1−α CI, the twotailed pvalue is > α If the null hypothesis is rejected, then we accept the alternative hypothesis If the null hypothesis is not rejected, then we do not accept the alternative hypothesis Going back to the above example of mean human body temperature, the alternative hypothesis is "The average adult human body temperature is not 986 degrees Fahrenheit"

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What does it mean if a hypothesis is accepted or rejected
What does it mean if a hypothesis is accepted or rejected-Compare the P value to α If the P value is less than (or equal to) α, reject the null hypothesis in favor of the alternative hypothesis If the P value is greater thanYou'll prepare a table or graph of the data6ConclusionConclude whether to accept or reject




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A smallest α at which the null hypothesis can be rejected b largest α at which the null hypothesis can be rejected c smallest α at which the null hypothesis cannot be rejected d largest α at which the null hypothesis cannot be rejected ____ 15 We have created a 95% confidence interval for µ with the results (10, 25)Hypothesis test a test that determines whether to accept or reject a hypothesis based upon the given results Hypothesis test Tells if a sample statistic (phat) occurs by random occurance or not (aka statisticlaly significant) Assumptions, hypothesis statements andAnswer (1 of 5) Most statisticians do not use terms like "accept the hypothesis" This is a matter of semantics;
You either reject it, or you fail to reject it A pvalue does not tell you which of two hypotheses (null or alternate) is correct It tells you the probability of finding a more extreme value assuming that no effect exists (the null hypothesis), conditional on some large and important assumptions By convention, we say that if this probability is less than 5%, we reject the null Some people say you can either accept the null hypothesis or reject it However, there are statisticians that insist you can either reject it or fail to reject it, but you can't acceptLikewise, in hypothesis testing, the null hypothesis is assumed to be true, and unless the test shows overwhelming evidence that the null hypothesis is not true, the null hypothesis is accepted Example Suppose that you are trying to decide whether a
Reject H 0 / "Sufficient evidence to say patient is dead" Fail to Reject H 0 / "Insufficient evidence to say patient is dead" There are four possibilities that can occur based on the two possible states of nature and the two decisions which we can make Statisticians will never accept the null hypothesis, we will fail to reject The zscore is a statistical test of significance to help you determine if you should accept or reject the nullhypothesis;Whether or not to accept the hypothesis depends on other factors, including the consequences of being wrong and established norms For example, in science, a "pvalue" of less than 005 is the generally accepted standard for accepting the hypothesis It means that the hypothesis
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By definition, an accepted hypothesis is what you are left with once H0 has been disproven, This is also called H1 Importantly, H1 has not not been but emerges from the ruins of the disproven H0 A rejected hypothesis should always be the state of not having been able to disprove H0 Any other use of the term will easily get you into troubleHow do you decide whether to reject or fail to reject the null hypothell tentence 2 How do you tell whether the test bleft, right, or two talled bullets 3 Why can we never accept the null hypothesis What tells whether or not the data of the controlled experiment is supported by the hypothesis?



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1 We fail to reject the null hypothesis when the value found is contained in the confidence interval set We reject the null hypothesis when the value does not fall within the confidence interval 2 We tell the test is left tailed when we are only View the full answerHowever, it is a practice that is meant to avoid misconceptions about what the evidence actually shows In the usual formulation, a null hypothesis Thus, the null with c1 and c2 cannot be rejected (ie we do not know whether it has or not) Whereas the null with c3 can be rejected Ie at c3 there is a significant effect on z As already mentioned, a null is never accepted, we either reject, or fail to reject Thank you!
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In the same way, a statistical test cannot prove the null hypothesis, but it can provide evidence against it As for the alternative hypothesis, it may be appropriate to say "the alternative hypothesis was not supported" but you should avoid saying "the alternative hypothesis was rejected" Once again, this is because your study is designed to reject the null hypothesis, not to reject the alternative hypothesisThe pvalue is the chance you are wrong if you decide to reject the null hypothesis based on the data observed Can you tolerate this chance of error when rejecting the null hypothesis?Accept Versus Fail to Reject • Some texts use "accept the null hypothesis" • We are not proving the null hypothesis • Fail to reject says more correctly • The available evidence is not strong enough to warrant rejection of the null hypothesis (such as not enough evidence to




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Testing Of Hypotheses
Level of Significance A predetermined level of significance allows for the null hypothesis to either be rejected or accepted 11 The significance level that is widely used in academic research is 005, which is often reported as 'p = 005' or 'α = 005'The null hypothesis is rejected in favour of the alternative hypothesis if the calculated pvalue is less than the predetermined Why can an accepted hypothesis be rejected at a later date?I actually realised i made a mistake in my experiment yesterday, so




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The null hypothesis is to test whether the hypothesis can be rejected if the hypothesis is true Similar to the concept of innocence We assume innocence until we have enough evidence to prove the suspect guilty In short, we can think of the null hypothesis as an accepted statement, for example, that the sky is blue We have accepted thisThe answer to the question why is this It can be rejected at a later date because it is falsifiable in nature if it is a good hypothesis If you meant to ask HOW it can be rejected, the answer is by way of further experimentation that rules out some or all of the hypothesis as statedThese tests allow the researcher to decide whether to accept or reject the null hypothesis and whether to accept or reject the alternative hypothesis If changes in the DV are due to chance then we'll accept the null hypothesis, whereas if the statistical test shows the change in the DV occurred due to the IV, then we accept the alternative hypothesis



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Reflects the probability of getting a value for the statistic equal to or more extreme than one calculated in a hypothesis, if null hypothesis is true Type 1 error rejecting a true null hypothesis The critical significance level sets the probability of this Type 2 error accepting a false null hypothesis6 If the Fvalue from ANOVA table is 19 and the critical F from the back of the book is 3, you would (2 points) a) accept the null hypothesis of independence b) reject the null hypothesis of independence c) accept the null hypothesis that means are different d) reject the null hypothesis that means are not different e) none of the above Failing to Reject vs Accept In an experiment, the null hypothesis and the alternative hypothesis should be carefully formulated such that one and only one of these statements is true If the collected data supports the alternative hypothesis, then the null hypothesis can be rejected as false



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If this level of risk of error can be tolerated then the null hypothesis can be rejected The significance test is the process used, by researchers, to determine whether the null hypothesis is rejected, in favor of the alternative research hypothesis, or not We have two types of hypothesis ie, 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




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A statistical testuses the data obtained from a sample to make a decision about whether the null hypothesis should be rejected The numerical value obtained from a statistical test is called the test value You will notice that our statistical tests will resemble the general formula for a zscoreIn its usual form, two hypotheses are put forward a null hypothesis (usually a statement of null effect) and an alternative hypothesis (usually the opposite of null hypothesis) Based on the outcome of the hypothesis test one hypothesis is rejected and accept the other based on a previously predetermined arbitrary benchmark After they perform the hypothesis test, the manager obtains a pvalue of 0004 The pvalue is less than the significance level of 005 Decide whether to reject or fail to reject the null hypothesis



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$\begingroup$ "fail to reject the null hypothesis" (or something similar) is the way I generally put it on the rare occasions when I formally test a hypothesis and don't reject the null I almost never think the null has a chance to be actually true so it's more a lack of evidence against the null than in any sense an acceptance that the null The first thing to recognize is that failing to reject the null hypothesis might not be an error If the null hypothesis is false, then the correct outcome is failing to reject the null However, if the null hypothesis is false and you fail to reject, it is a type II error, or a false negativeRepresents the hypothesis that will be accepted only if the data provide convincing evidence of its truth What is Test Statistic a sample statistic, computed from information provided in the sample, that the researcher uses to decide between the null and alternative hypotheses




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A) accept the null hypothesis when it is true b) fail to reject the alternative hypothesis when it is false c) fail to reject the null hypothesis when it is false d) report that our findings are significant when they are notWhereas the alternative hypothesis relates to the statement to be accepted if / when the null is rejected The final conclusion, once the test has been carried out, is always given in terms ofBut it remains true in that the acceptance of a null hypothesis is a weak decision whereas rejection is strong evidence of the sample against the null hypothesis When the null hypothesis is rejected it means the sample has done some statistical work, but when the null hypothesis is accepted it means the sample is almost silent




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The confidence level, alpha (𝛼), is used as a threshold to determine whether the null hypothesis should be accepted or rejected It is also represents the probability that you rejectWhereas the pvalue gives you theWhen your pvalue is less than or equal to your significance level, you reject the null hypothesis The data favors the altern View the full answer Transcribed image text 1




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In statistics, we use hypothesis tests to determine whether some claim about a population parameter is true or not Whenever we perform a hypothesis test, we always write a null hypothesis and an alternative hypothesis, which take the following forms H 0 (Null Hypothesis) Population parameter = ≤, ≥ some value H A (Alternative Hypothesis) PopulationUsing a confidence interval to decide whether to reject the null hypothesis Suppose that you do a hypothesis test Remember that the decision to reject the null hypothesis (H 0) or fail to reject it can be based on the pvalue and your chosen significance level (also called α) If the pvalue is less than or equal to α, you reject H 0;Ans To decide whether to reject or fail to reject the null hypothesis we consider the following two conditions such as;




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