Answer:
We conclude that supermarket ketchup was not as good as the national brand ketchup.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 100
p = 69% = 0.69
Alpha, α = 0.05
Number of stating that the supermarket brand was as good as the national brand , x = 56
a) First, we design the null and the alternate hypothesis
This is a two-tailed test.
b) Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.0049
c) Since the p-value is lower than the significance level, we fail to accept the null and reject it.
Thus, we conclude that supermarket ketchup was not as good as the national brand ketchup.
d) It need to be tested further whether the supermarket brand was worse than the national brand or better than the national brand.