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Support or Reject Null Hypothesis

A Bayesian would insist that you put in numbers just how likely you think the null hypothesis and various values of the alternative hypothesis are, before you do the experiment, and I'm not sure how that is supposed to work in practice for most experimental biology. But the general concept is a valuable one: as Carl Sagan summarized it, "Extraordinary claims require extraordinary evidence."

Click the link the skip to the situation you need to support or reject null hypothesis for:

A generalization of Student’s t-test for multivariate data. Can be used to test either whether the population mean vector of a set of q variables is the null vector or whether the mean vectors of two populations are equal. In the latter case the relevant test statistic is calculated as

That’s How to State the Null Hypothesis!

Broken down into English, that’s H0 (The null hypothesis): μ (the average) = (is equal to) 8.2

This number, 0.030, is the P value. It is defined as the probability of getting the observed result, or a more extreme result, if the null hypothesis is true. So "P=0.030" is a shorthand way of saying "The probability of getting 17 or fewer male chickens out of 48 total chickens, IF the null hypothesis is true that 50% of chickens are male, is 0.030."

After you do a statistical test, you are either going to reject or accept the null hypothesis. Rejecting the null hypothesis means that you conclude that the null hypothesis is not true; in our chicken sex example, you would conclude that the true proportion of male chicks, if you gave chocolate to an infinite number of chicken mothers, would be less than 50%.

How to Set Up a Hypothesis Test: Null versus Alternative

The test statistic falls into the rejection region, i.e., 2.4  1.645, therefore we reject 0.


Solution First, we write write down the null and alternative hypothesesThis is a lefttailed test. The -score that corresponds to is . The critical region is the areathat lies to the left of . If thez-value is less than there we will reject thenull hypothesis and accept the alternative hypothesis. If it is greaterthan , we will fail to reject the nullhypothesis and say that the test was not statistically significant.Wehave There is another way to interpret the test statistic.

When you about a , you can use your test statistic to decide whether to reject the null hypothesis, H0. You make this decision by coming up with a number, called a -value.

Use these general guidelines to decide if you should reject or keep the null:
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The test statistic falls into the rejection region, i.e., -2.5734 0.

The null hypothesis can be thought of as a nullifiable hypothesis. That means you can nullify it, or reject it. What happens if you reject the null hypothesis? It gets replaced with the which is what you think might actually be true about a situation. For example, let’s say you think that a certain drug might be responsible for a spate of recent heart attacks. The drug company thinks the drug is safe. The null hypothesis is always the accepted hypothesis; in this example, the drug is on the market, people are using it, and it’s generally accepted to be safe. Therefore, the null hypothesis is that the drug is safe. The alternate hypothesis — the one you want to replace the null hypothesis, is that the drug isn’t safe. Rejecting the null hypothesis in this case means that you will have to prove that the drug is not safe.

How to State the Null Hypothesis from a Word Problem

We call the blueareas the since if thevalue of falls in these regions, we can say that the null hypothesis is veryunlikely so we can Example smokers were questioned about the number of hoursthey sleep each day.

Null and Alternative Hypothesis | Real Statistics Using …


This is not very clear, but apparently we are to check if the average exceeds $160, which would mean the ATMs are not "stocked with enough cash." This is what we will try to show, so it should go in the alternative hypothesis.

Hypothesis testing - Handbook of Biological Statistics

Generally, when comparing or contrasting groups (samples), the null hypothesis is that the difference between means (averages) = 0. For categorical data shown on a contingency table, the null hypothesis is that any differences between the observed frequencies (counts in categories) and expected frequencies are due to chance.

Null Hypothesis Definition | Investopedia

State what will happen if the hypothesis doesn’t come true. If the recovery time isn’t greater than 8.2 weeks, there are only two possibilities, that the recovery time is equal to 8.2 weeks or less than 8.2 weeks.

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