14. The Survey of Study Habits and Attitudes (SSHA) is a psychological test that

Question

14. The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students’ study habits and attitude toward school. The survey yields several scores, one of which measures student attitudes toward studying. The mean student attitude score for college students is about 50, and the standard deviation is about 15. A researcher in the Philippines is concerned about the declining performance of college graduates on professional licensure and board exams. She suspects that poor attitudes of students are partly responsible for the decline and that the mean for college seniors who plan to take professional licensure or board exams is less than 50. She gives the SSHA to an SRS of 225 college seniors in the Philippines who plan to take professional licensure or board exams. Suppose we know that the student attitude scores in the population of such students are Normally distributed with standard deviation = 15.

Step 1:
One sample of 225 students had mean student attitude score x = 48.9.
Enter this x, along with the other required information, into the P-Value of a Test of Significance Applet.
What is the P-value?
Give your answer to 4 decimal places.
Fill in the blank:

Step 2:
Is this outcome statistically significant at the = 0.05 level? At the = 0.01 level?

Step 3:
Another sample of 225 students had x = 47.4.
Use the applet in step 1 to find the P-value for this outcome.
Give your answer to 4 decimal places.
Fill in the blank:

Step 4:
Is it statistically significant at the = 0.05 level? At the = 0.01 level?

It is significant at the = 0.01 level, hence also at the = 0.05 level. It is significant at the = 0.01 level but not at the = 0.05 level. It is significant at the = 0.05 level, hence also at the = 0.01 level. It is not significant at either level. It is significant at the = 0.05 level but not at the = 0.01 level.

Explanation / Answer

Ans:

a)

z=(48.9-50)*sqrt(225)/15=-1.1

p-value=P(z<-1.1)=0.1357

b)p-value>0.05 ,0.01,so fail to reject H0.

It is not significant at either level.

c)

z=(47.4-50)*sqrt(225)/15=-2.6

p-value=P(z<-2.6)=0.0047

d)p-value<0.01,0.05,so,reject H0.

This is significant at both the = 0.01 level and at the = 0.05 level.

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