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How to write a 2 tailed hypothesis

In this article we will go through the steps necessary to perform a hypothesis test , or test of significance, for the difference of two population proportions. This allows us to compare two unknown proportions and infer if they are not equal to each other or if one is greater than another. Before we go into the specifics of our hypothesis test, we will look at the framework of hypothesis tests. We amass evidence for this statement by conducting a statistical sample.
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Hypothesis Testing: How to Know What Type of Tail we Have?

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Two-Tailed Test of Population Proportion | R Tutorial

Example: Suppose it is up to you to determine if a certain state receives significantly more public school funding per student than the USA average. Use the z-test and the correct Ho and Ha to run a hypothesis test to determine if New Jersey receives significantly more funding for public school education per student per year. NOTE: This entire example works the same way if you have a dataset. Using the dataset, you would need to first calculate the sample mean. To run a z-test, it is generally expected that you have a larger sample size 30 or more and that you have information about the population mean and standard deviation.
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Hypotheses

Lateralized brain regions subserve functions such as language and visuospatial processing. It has been conjectured that individuals may be left-brain dominant or right-brain dominant based on personality and cognitive style, but neuroimaging data has not provided clear evidence whether such phenotypic differences in the strength of left-dominant or right-dominant networks exist. We evaluated whether strongly lateralized connections covaried within the same individuals. Data were analyzed from publicly available resting state scans for individuals between the ages of 7 and For each subject, functional lateralization was measured for each pair of regions covering the gray matter at 5-mm resolution as a difference in correlation before and after inverting images across the midsagittal plane.
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