Question
1.Several yearsago, 40% of parents who had children in gradesK-12 were satisfied with the quality of education the students receive. A recent poll asked 1,055
1.Several yearsago, 40% of parents who had children in gradesK-12 were satisfied with the quality of education the students receive. A recent poll asked 1,055 parents who have children in gradesK-12 if they were satisfied with the quality of education the students receive. Of the 1,055 surveyed, 486 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence thatparents' attitudes toward the quality of education have changed.
What are the null and alternativehypotheses?
: p versus H1: p
(Round to two decimal places asneeded.)
Use technology to find the 99% confidence interval.
The lower bound is_____
The upper bound is____
What is the correctconclusion?
A.
Since the interval contains the proportion stated in the nullhypothesis, there is sufficient evidence thatparents' attitudes toward the quality of education have changed.
B.
Since the interval contains the proportion stated in the nullhypothesis, there is insufficient evidence thatparents' attitudes toward the quality of education have changed.
C.
Since the interval doesnotcontain the proportion stated in the nullhypothesis, there is sufficient evidence thatparents' attitudes toward the quality of education have changed.
D.
Since the interval doesnotcontain the proportion stated in the nullhypothesis, there is insufficient evidence thatparents' attitudes toward the quality of education have changed.
2.Determine the point estimate of the populationproportion, the margin of error for the following confidenceinterval, and the number of individuals in the sample with the specifiedcharacteristic, x, for the sample size provided.
Lower bound=0.316, upper bound=0.574, n=1200
The point estimate of the population proportion is
________
(Round to the nearest thousandth asneeded.)
The margin of error is
_________
(Round to the nearest thousandth asneeded.)
The number of individuals in the sample with the specified characteristic is
______
.
(Round to the nearest integer asneeded.)
3.A trade magazine routinely checks thedrive-through service times offast-food restaurants. An 80% confidence interval that results from examining 516 customers in onefast-food chain'sdrive-through has a lower bound of 164.9 seconds and an upper bound of 168.5 seconds. What does thismean?
Choose the correct answer below.
A.
One can be _____% confident that the meandrive-through service time of thisfast-food chain is between ______ seconds and _______seconds.
B.
The meandrive-through service time of thisfast-food chain is _____seconds _____% of the time.
C.
There is a _____% probability that the meandrive-through service time of thisfast-food chain is between ______ seconds and
_____seconds.
D.
One can be _______% confident that the meandrive-through service time of thisfast-food chain is______seconds.
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