Answer:
B. 0.0122
Step-by-step explanation:
According to the given data the claim is:
"Proportion of students who went to the movie theater last weekend is greater than 0.2"
Since, the word "greater than" is used in the claim, this claim will be our alternate hypothesis and the hypothesis test will be a one-tailed test i.e. Right tailed test because of the word "greater than".
We are given that the hypothesis test was conducted for a random sample of 100 students and it yielded a z-value of 2.25. We have to find the p-value associated with this z-score
So, we have to find p-value corresponding to z-score of 2.25 and Right Tailed Test. We have to use z-table for this purpose and find the probability of z score being greater than 2.25. From the z-table this value comes out to be:
p-value = 0.0122
Therefore, option B gives the correct answer.
Hence the p value for the given test is 0.9878. Thus option D is the correct option.
Given-
Proportion of students at a certain college who went to the movie theater last weekend is greater than 0.2.
A random sample of 100 students at this college resulted in a test statistic of 2.25.
Now it is known that when the hypothesis statement contains a greater than (>) symbol a right tailed test or upper test is conducted. It means the inequality points are towards the right.
For the p value we have to use the z table as it tells us that what percentage is under the curve at a particular point. We will look in the positive table for right tailed test( greater than sign) Thus the p value associate with z score 2.25 in the positive z table is,
p-value [tex]=0.98778[/tex]
Hence the p value for the given test is 0.9878. Thus option D is the correct option.
For more about the p test follow the link below-
https://brainly.com/question/7512012
