How will you formulate the appropriate null and alternativehypotheses on a population mean.

Layla Velazquez

Layla Velazquez

Answered

2022-07-01

How will you formulate the appropriate null and alternativehypotheses on a population mean.

Answer & Explanation

lodosr

lodosr

Expert

2022-07-02Added 24 answers

Null Hypothesis - It states that there no relationship/difference between sample means or proportions. It is represented by H 0 . It takes "=", " " or " " operators depending on the wording of the hypotheses test.
Alternative Hypothesis is a claim about the population that is contradictory to H 0 . It is represented by H 1 . It takes " ", "<" or ">" operators depending on the wording of the hypotheses test.
Null hypothesis  H 0 ÷ μ = 40 Alternative Hypothesis  H 1 ÷ μ 40
Here, we test whether the mean of a population is statistically different from a known or hypothesized value (40).
This is a two tailed test, since the alternative hypothesis contains " " symbol.
A right tailed test contains a greater than (>) symbol in the alternative hypothesis.
If we are asked to test if the population mean is greater than 40, we use a right tailed test.
Then, the null hypothesis states that the mean is less than or equal to 40. The alternative hypothesis would be that the mean is greater than 40.
A left tailed test contains a less than (<) symbol in the alternative hypothesis.
If we are asked to test if the population mean is less than 40, we use a left tailed test.
Then, the null hypothesis states that the mean is greater than or equal to 40. The alternative hypothesis would be that the mean is less than 40.

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