Answer to Question #228969 in Statistics and Probability for Millicent

Question

How can p<.05 be interpreted?

Select one:

a. There is a 50% chance of you making a type one error.

b. The probability of obtaining the data if the null hypothesis were true is more than 5%.

c. There is a less than 1 in 20 probability of the result occurring by chance alone if the null hypothesis were true.

d. The probability of obtaining the data if the alternative hypothesis were false is less more than 50%.

Answer 1

A p-value is a measure of the probability that an observed difference could have occurred just by random chance. The lower the p-value, the greater the statistical significance of the observed difference. P-value can be used as an alternative to or in addition to pre-selected confidence levels for hypothesis testing.

Answer: c. There is a less than 1 in 20 probability of the result occurring by chance alone if the null hypothesis were true.

$\frac{1}{20}=0.05$