# hypothesis in used as null companies

**III. Finding the p-value of the test. **The p-value is the probability of getting data like those observed (or even more extreme) assuming that the null hypothesis is true, and is calculated using the null distribution of the test statistic. The p-value is a measure of the evidence against Ho. The smaller the p-value, the more evidence the data present against Ho.

## Here is what we do for directional hypothesis testing:

### Explainer: what is a null hypothesis

__Analysis: __ The population involved is the means of randomsamples of size 70 chosen from a population with mean = 16 andstandard deviation = 0.4. Call this population P. The Central LimitTheorem says that the distribution of P is normal, that the mean of Pis 16, and that the standard deviation of P is 0.4/Ã(70) = 0.048. Asworded, this is a 2-tail situation. The null and alternate hypothesesare, respectively

### Hypothesis in used as null companies | Absolute contents

__Analysis:__ The population involved consists of theproportion of 6's obtained when a die is rolled 1,000 times. Thispopulation consists of 1,001 proportions: {0/1000, 1/1000,2/1000,É.,999/1000, 1000/1000}. If p is the proportion of 6'sobtained, then our null and alternate hypotheses are, respectively

## If it were equal to zero, then there would be no effect

In example 2, we saw that a sample proportion of 0.19 based on a sample of size of 100 was not enough evidence that the proportion of marijuana users in the college is higher than 0.157. Recall, from our general overview of hypothesis testing, that this conclusion (not having enough evidence to reject the null hypothesis) **doesn’t** mean the null hypothesis is necessarily true (so, we never “accept” the null); it only means that the particular study didn’t yield sufficient evidence to reject the null. It **might** be that the sample size was simply too small to detect a statistically significant difference.

## How to Test Business Ideas Using Null Hypothesis

When the data provide enough evidence to reject Ho, we can conclude (depending on the alternative hypothesis) that the population proportion is either less than, greater than, or not equal to the null value p_{0}. However, we do not get a more informative statement about its actual value. It might be of interest, then, to follow the test with a 95% confidence interval that will give us more insight into the actual value of p.