Question

# A researcher conducts a hypothesis test where he compares the scores of a random sample of...

A researcher conducts a hypothesis test where he compares the scores of a random sample of students' SAT scores to the national average of 500. He hopes to show that the students' mean score will be higher than average. After conducting his experiment, he finds a p-value for his sample to be .06. What does this mean in the context of his experiment?

His students' mean score does not significantly differ from the national average, because his p-value is less than alpha.

His students' mean score does not significantly differ from the national average, because his p-value is greater than alpha.

His students' mean score does significantly differ from the national average, because his p-value is less than alpha.

His students' mean score does significantly differ from the national average, because his p-value is greater than alpha.

Let level of significance is

Since p-value is greater than alpha so  students' mean score does not significantly differ from the national average.

Correct option is:

His students' mean score does not significantly differ from the national average, because his p-value is greater than alpha.

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Let level of significance is

Since p-value is less than alpha so  students' mean score does significantly differ from the national average.

Correct option is:

His students' mean score does significantly differ from the national average, because his p-value is less than alpha.