Answer:
The p value for this case is higher than the significance level provided
so we don't have enough evidence to reject the null hypothesis and we can't conclude that the true proportion is higher than 0.65
Explanation:
Data given and notation
n=125 represent the random sample taken
X=86 represent the voters who respond positively
estimated proportion of voters who respond positively
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to test the claim that true proportion is higher than 0.65, and the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing we got:
Conclusion
The significance level provided
.
Since is a right tailed test the p value would be:
The p value for this case is higher than the significance level provided
so we don't have enough evidence to reject the null hypothesis and we can't conclude that the true proportion is higher than 0.65