Anna is preparing 30 days of dessert for her pet
1 answer:
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Answer:
The p value for this case is given by:
Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.
Step-by-step explanation:
Information given
n=165 represent the random sample selected
55 represent the students indicated a belief that such software unfairly targets students
X =165-55= 110 represent students who NOT belief that such software unfairly targets students
estimated proportion of students who NOT belief that such software unfairly targets students
is the value that we want to check
represent the significance level
z would represent the statistic
represent the p value
System of hypothesis
We want to check if the majority of students at the university do not believe that it unfairly targets them, and the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
After replace we got:
The p value for this case is given by:
Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.