SOLUTION: "Using your data from 50 tosses, test the claim that the population proportion of Kisses chocolates that land completely on the base IS 50% at a=10% level of significance." (We tos

Algebra ->  Statistics  -> Hypothesis-testing -> SOLUTION: "Using your data from 50 tosses, test the claim that the population proportion of Kisses chocolates that land completely on the base IS 50% at a=10% level of significance." (We tos      Log On


   

Question 1040329: "Using your data from 50 tosses, test the claim that the population proportion of Kisses chocolates that land completely on the base IS 50% at a=10% level of significance." (We tossed the candies and the total # is 13 kisses that landed on the base)
A: State null and alternate hypothesis, identify the claim
B: State level of significance
C. Determine standardized test statistic
D. Find P-value
E. Do you reject Ho or fail to reject Ho
F. Interpret decision in the context of original claim
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
A. Technically speaking, the alternative hypothesis would contain your claim, and would have to be either corroborated or resisted by the sample statistic. The null hypothesis states the status quo value, and would have to be retained or rejected based on later outcome.
CLAIM: The population proportion p is less than 50%. (Because 13/50 = 0.26).
H%5B0%5D%3A+p+=+0.50
H%5Ba%5D%3A+p+%3C+0.50

B. Level of significance = alpha = 0.10.
C. z+=+%28p%5Bs%5D+-+p%29%2Fsqrt%28p%5Bs%5D%2A%281-p%5Bs%5D%29%2Fn%29, where p%5Bs%5D is the sample proportion.
z+=+%280.26+-+0.5%29%2Fsqrt%280.26%2A0.74%2F50%29+=+-3.87
D. P-value: P%28z+%3C+=+-3.87%29+=+0.0001
E. Since the p-value is much less than alpha, reject H%5B0%5D.
F. The result suggests that the population proportion might be lower than the status quo value of 0.50. A resampling with a bigger sample
size might be necessary in order to confirm the result obtained above.