Satisfied with college? A simple random sample of 500 students at a certain coll
ID: 3060168 • Letter: S
Question
Satisfied with college? A simple random sample of 500 students at a certain college were surveyed and asked whether they were satisfied with college life. Two hundred eighty of them replied that they were satisfied. The Dean of Students claims that more than half of the students at the college are satisfied. To test this claim, a test of the hypotheses : P = 0.5 versus : p > 0.5 is performed. Use a significant level of 0,001 :
A) We reject the null hypothesis and do not believe that more than half of the students at the college are satisfied
B) The P-value is too small, we reject the null hypothesis and believe that more than half of the students at the college are satisfied 3.05
C) The P-value is 0.004, do not support the claim made by the Dean of Students
D) The P-value is 0.4, reject the claim the claim made by the Dean of Students
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p > 0.5
Hypothesis test results:
Since p - value is greater than 0.001, we do not reject Ho. Hence,
The P-value is 0.004, do not support the claim made by the Dean of Students.
Option C is correct.
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 280 500 0.56 0.02236068 2.6832816 0.0036Related Questions
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