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Hypothesis Testing and Linear Regression Analysis

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Please assist answering the below statistical analysis questions:

1) Explain the difference between the null and alternative hypothesis. Which one can be proven in a statistical sense?
2) Explain why it is always necessary to specify a fixed null value in the one-sample hypothesis test, while such specifications are generally not necessary for the two-sample hypothesis test.
3) Define the significance level of a test, and the two kinds of errors associated with testing.
4) What is simple linear regression? How does one find the best fitting regression line?
5) Explain why the prediction interval is necessarily wider than the corresponding confidence interval.

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1) Explain the difference between the null and alternative hypothesis. Which one can be proven in a statistical sense?
Solution:
The null hypothesis is a statistical hypothesis test that states that there is no distinction between a parameter and a specific value. In other words, the null hypothesis says that there is no difference between two parameters. The alternative hypothesis on the other hand is a complete alternative to null hypothesis. It states that there is a difference between a parameter and a specific value. In a statistical sense, the null hypothesis can be proven.

2) ...

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Linear Regression Analysis and Hypothesis Testing

I need your assistance with a linear regression analysis and a regression hypothesis test on my data. My hypotheis statement is: "Is there a difference in earnings between women with a two-year or four-year college degree?" Ho, they are the same and Ha, is equal to or greater than Ho.
This is my data, 2 year degree earnings are $11,702, $24,509, $35,185, $34,746. 4-year degree earnings are, $29,997, $33,959, $22,133, $30,006, $83,443, $33,351, $31,304. Thank you for your assistance.

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