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Sagot :
Answer:
The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance
The alternative hypothesis is accepted at a 0.05 level of significance
The manager of Publix in Clemson believes 64% is too high for his own store
Step-by-step explanation:
Step:-1
Given that the consumer Reports showed that 64% of supermarket shoppers.
Given that the population proportion
P = 0.64
Given that random sample size 'n' = 100
Given that 52 believe the supermarket brands were as good as the national brands.
sample proportion
[tex]p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52[/tex]
Step:-2
Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store
μ < 0.64
Alternative Hypothesis:H₁:μ > 0.64
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }[/tex]
Z = -2.5
Level of significance = 0.05
Z₀.₀₅ = 2.326
The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance
Final answer:-
The null hypothesis is rejected at a 0.05 level of significance
The alternative hypothesis is accepted at a 0.05 level of significance
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