Each of 41 subjects tastes two unmarked cups of coffee and says which he or she
ID: 3339198 • Letter: E
Question
Each of 41 subjects tastes two unmarked cups of coffee and says which he or she prefers. One cup in each pair contains instant coffee, the other fresh-brewed coffee. 30 of the subjects prefer the fresh-brewed coffee. Take p to be the proportion of the population who would prefer fresh-brewed coffee in a blind tasting. Test the claim that a majority of people prefer the taste of fresh-brewed coffee.
(a) H0: p = and Ha: p >
(b) The test statistic is (Use 2 decimal places)
(c) The p-value is (Use 4 decimal places)
(d) Therefore, at the = 0.05 level we can conclude that
The data provides statistical evidence that the majority of tasters prefer the fresh-brewed coffee
.The data does not provide statistical evidence that the majority of tasters prefer the fresh-brewed coffee.
The data provides statistical evidence evidence that the majority of tasters do not prefer the fresh-brewed coffee.
The data does not provide statistical evidence that the majority of tasters do not prefer the fresh-brewed coffee.
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p > 0.5
Hypothesis test results:
Hence,
a) H0 : p = 0.5
HA : p > 0.5
b) Test statistic = 2.97
c) p - Value = 0.0015
d) Conclusion: The data provides statistical evidence that the majority of tasters prefer the fresh-brewed coffee.
Option A is correct.
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 30 41 0.73170732 0.078086881 2.9673015 0.0015Related Questions
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