Statistics (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.

0.05 and 0.02

Step-by-step explanation:

Since the number of samples is given as n = 30, we would determine the degree of freedom, df

df = n - 1 = 30 - 1

df = 29

Since the test statistic is given as 2.35 and the df = 29, we would determine the p value from the t distribution table. We will look for the row containing df = 29 and trace the two columns between which 2.35 falls. The result would also be in the row containing one tailed test. Therefore, the p-value falls between 0.025 and 0.01.

Then multiply the numbers by two so p is between 0.05 and 0.02

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

step-by-step explanation:

a is the right answer