Safeway is a grocery chain brand in California, U.S.A. A study showed that 64 pe

Question

Safeway is a grocery chain brand in California, U.S.A. A study showed that 64 percentage of shoppers believe that Safeway brands are as good as national name brands in terms of product quality. To investigate whether this result applies to its own product, the maker of a national name brand mustard asked 200 random Safeway shoppers whether they felt Safeway brand mustard was a good as its national name brand mustard. Suppose that 110 of the shoppers in the sample felt that the Safeway brand was as good as the national name brand. Let p represent the percentage of all Safeway shoppers who believe that the Safeway brand mustard is as good as national name brand. Is this evidence that p is less than 64 percentage? The hypotheses are H0: vs. Ha: What is the p-value? What conclusion is made at the 2 percentage significance level? because

Explanation / Answer

Solution:

Null hypothesis:

Ho:p=64%=0.64

Alternative Hypothesis:

Ha:p,64%=0.64

alpha=2%=0.98

Test statistic:

p^=sample proportion=110/200=0.55

z=0.55-0.64/sqrt[0.64(1-0.64)/200]

z =-2.65

decsion rule:

if p<0.02 reject null hypothesis

if p>0.02 fail to reject null hypothesis

fro z=-2.65 in table p=0.0040

p<0.02

reject null hypothesis

Solutionc:

there is sufficient evidence at 2% level of significance that p is less than 64%

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.