find the null hypothesis in matlab

In statistical hypothesis testing, the null hypothesis is typically a statement of no effect or no difference between groups or conditions being tested. To find the null hypothesis using MATLAB, you need to have the sample data and the expected value, and then perform a hypothesis test using a significance level to determine whether to accept or reject the null hypothesis. Here's an example of how to find the null hypothesis using MATLAB:

Suppose you have a sample data set x with 100 values, and you want to test whether the mean of the population from which the sample was drawn is equal to 5. To find the null hypothesis, you can perform a one-sample t-test using the ttest function in MATLAB, assuming a significance level of 0.05:

main.m
[h, p, ci, stats] = ttest(x, 5, 'Alpha', 0.05);
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In this code, h is a logical value that indicates whether to reject the null hypothesis (i.e., there is a significant difference between the sample mean and the hypothesized mean), p is the p-value of the test, ci is the confidence interval for the true population mean, and stats contains additional statistics such as the test statistic and degrees of freedom.

If h is 0 (false), then the null hypothesis would be that the mean of the population is equal to 5. If h is 1 (true), then the null hypothesis would be rejected and the alternative hypothesis would be that the mean of the population is not equal to 5.