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You are conducting a significance test of H0: μ = 5 against Ha: μ > 5. After checking the conditions are met from a simple random sample of 30 observations, you obtain t = 2.35. Based on this result, describe the p-value. (4 points)

Group of answer choices

The p-value falls between 0.15 and 0.2.

The p-value falls between 0.025 and 0.05.

The p-value falls between 0.01 and 0.02.

The p-value falls between 0.005 and 0.01.

The p-value is less than 0.005.

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.

step-by-step explanation:

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