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2 answers:
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Answer:
The p value for this case can be calculated with this probability:
Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1
Step-by-step explanation:
Information given
n=310 represent th sample selected
X=28 represent the subjects wrong
estimated proportion of subjects wrong
is the value to verify
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We want to test the claim that less than 10 percent of the test results are wrong ,and the hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value for this case can be calculated with this probability:
Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1