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Answer:
Option b - not significantly greater than 75%.
Step-by-step explanation:
A random sample of 100 people was taken i.e. n=100
Eighty of the people in the sample favored Candidate i.e. x=80
We have used single sample proportion test,
Now we define hypothesis,
Null hypothesis : candidate A is significantly greater than 75%.
Alternative hypothesis : candidate A is not significantly greater than 75%.
Level of significance
Applying test statistic Z -proportion,
Where, and
Substitute the values,
The p-value is
Now, the p-value is greater than the 0.05.
So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.
Therefore, Option b is correct.