Answer:
a)
And if we convert this interval into % we got (47.615%, 58.385%)
b) For this case since the lower value for the confidence interval is a value lower than 0.5 (50%) we don't have enough evidence to conclude at 10% of significance than most students at PCC own a car
Step-by-step explanation:
We can begin calculating the best estimator for the true proportion of students at PCC who own a car:
Part a
The confidence level is 95% , and the significance level would be given by and
. And the critical values would be given by:
The confidence interval for the true proportion is given by the following formula:
Replacing the info given we got:
And if we convert this interval into % we got (47.615%, 58.385%)
Part b
For this case since the lower value for the confidence interval is a value lower than 0.5 (50%) we don't have enough evidence to conclude at 10% of significance than most students at PCC own a car