A random sample of 31 subjects who identified themselves as compulsive buyers wa
ID: 3367830 • Letter: A
Question
A random sample of 31 subjects who identified themselves as compulsive buyers was obtained and given a questionaire. They had a mean questionaire score of 0.62 with a standard deviation of 0.12. Test the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. Use a 0.05 significance level.
State the null and alternative hypothesis
A. Ho=Y=0.56 Ha=Y>0.56
B. Ho:Y=0.56 Ha:Y=0.56
C. Ho:Y=0.56 Ha:Y=0.056
D. Ho:Y=0.56 Ha:Y<0.56
Find the z-score z=____(Round to two decimal places as needed Find the P-value
The P-value is_____
A. The P- value is greater than the significance level. There is sufficient evidence to support the claim that the population of self-identified complusive buyers has a mean greater than the mean of 0.056 for the general population
B. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population.
C. The P-value is greater than the significance level. There is not sufficient evidence to support the claim that the population self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population
D. The P-value is less than or equal to the significance level. There is not sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population.
Explanation / Answer
The statistical software output for this problem is:
Onesample Z summary hypothesis test:
? : Mean of population
H0 : ? = 0.56
HA : ? > 0.56
Hypothesis test results:
Mean Sample Mean Std. Err. DF T-Stat P-value
? 0.62 0.021552636 30 2.7838822 0.0027
Hence,
Hypotheses: Option A is correct.
z = 2.78
P - value = 0.0027
Option B is correct.
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