contestada

g 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? Group of answer choices His students' mean score does 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 less than alpha. His students' mean score does significantly differ from the national average, because his p-value is greater than alpha. His students' mean score does not significantly differ from the national average, because his p-value is greater than alpha.

Respuesta :

sahir9397

Answer:

Let level of significance is [tex]\alpha[/tex]=0.05

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.

Let level of significance is [tex]\alpha[/tex]=0.10

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.

According to the p-value, the correct option is:

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

At the null hypothesis, it is tested if his students' mean score does not significantly differ from the national average, that is:

[tex]H_0: \mu = 500[/tex]

At the alternative hypothesis, it is tested if it differs, that is:

[tex]H_1: \mu \neq 500[/tex]

The p-value is of 0.06, which is greater than the standard significance level of [tex]\alpha = 0.05[/tex], hence there is not enough evidence to reject the null hypothesis, and the correct option is:

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

To learn more about p-value in the context of an hypothesis test, you can take a look at https://brainly.com/question/13873630

Otras preguntas