SOLUTION: A company producing milk in cans claims that 41% of the mothers prefer Brand W. A random sample of 105 mothers were asked what brand they prefer and 57 of them answered they pref

Algebra ->  Probability-and-statistics -> SOLUTION: A company producing milk in cans claims that 41% of the mothers prefer Brand W. A random sample of 105 mothers were asked what brand they prefer and 57 of them answered they pref      Log On


   

Question 1180407: A company producing milk in cans claims that 41% of the mothers prefer
Brand W. A random sample of 105 mothers were asked what brand they prefer
and 57 of them answered they prefer Brand W. Is it correct to conclude that the
company’s claim is true? Use z-test at 2% level of significance.
Solution:
1. H0:
H1:
2. Level of Significance:
3.Test:
4. Critical Region:
5.Solution:
Decision:
Conclusion:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Ho:  p =.41 claim
Ha:  p ≠ .41
sample: p = 57/105 = .543
Level of Significance: .02  Critical Region(df 104) z > 2.36
z+=blue+%28x+-+mu%29%2Fsqrt%28blue%28p%281-p%29%2Fn%29%29
z+=blue+%28.133%29%2Fsqrt%28blue%28.41%28.59%29%2F105%29%29 = 2.7709
  2.7709 > 2.36
 Reject Ho. 
Evidence sufficient to support that we cannot accept the company's claim.
Wish You the Best in your Studies.