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Statistics Help (P-Value 85 Points)

You are conducting a significance test of H0: μ = 7.2 against Ha: μ < 7.2. After checking the conditions are met from a simple random sample of 25 observations, you obtain t = –1.45. Based on this result, describe the p-value.

The p-value falls between 0.05 and 0.1.
The p-value falls between 0.025 and 0.05.
The p-value falls between 0.02 and 0.025.
The p-value falls between 0.005 and 0.01.
The p-value is less than 0.005.

Respuesta :

Answer:

The p-value falls between 0.05 and 0.1.

Step-by-step explanation:

1. Look up a T-value calculator (I'm using one from socstatistics but there are hundreds).

2. Plug in the t-value of -1.45

3. Plug in the degrees of freedom as 24 (remember you find this by subtracting 1 from the sample size of 25)

3.5 Hit enter

4. The p-value is 0.08001 This is between 0.05 and 0.1

The p-value of the t value given is in accordance with: Option A: The p-value falls between 0.05 and 0.1.

How to find the p-value for specific t value?

Suppose the sample size is n

Then the degree of freedom would be n-1

At this degree of freedom at a specific t-value there is tabulated p-value available and can be obtained from either books who provide them or online calculator.

For this case, the sample size is n = 25

Thus, degree of freedom = n - 1 = 25 - 1= 24

The value of t is: t=  -1.45

Thus, we get the tabulated p value  for this t score -1.45 and d.f. 24 as: 0.080001

Thus, the p-value of the t value given is in accordance with: Option A: The p-value falls between 0.05 and 0.1.

Learn more about p-value here:

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