Leaky gas tanks. Nationwide, it is estimated that 40%of service stations have gas tanks that leak to someextent. A new program in California is designed to lessen the prevalence of these leaks. We want to assess the ef-fectiveness of the program by seeing if the percentage of service stations whose tanks leak has decreased. To dothis, we randomly sample 27 service stations in California and determine whether there is any evidenceof leakage. In our sample, only 7 of the stations exhibitany leakage. Is there evidence that the new program iseffective?a) What are the null and alternative hypotheses?b) Check the assumptions necessary for inference.c) Test the null hypothesis.d) What do you conclude (in plain English)?e) If the program actually works, have you made anerror? What kind? f) What two things could you do to decrease the prob-ability of making this kind of error? g) What are the advantages and disadvantages of takingthose two courses of action?
Leaky gas tanks. Nationwide, it is estimated that 40%of service stations have gas tanks that leak to someextent. A new program in California is designed to lessen the prevalence of these leaks. We want to assess the ef-fectiveness of the program by seeing if the percentage of service stations whose tanks leak has decreased. To dothis, we randomly sample 27 service stations in California and determine whether there is any evidenceof leakage. In our sample, only 7 of the stations exhibitany leakage. Is there evidence that the new program iseffective?a) What are the null and alternative hypotheses?b) Check the assumptions necessary for inference.c) Test the null hypothesis.d) What do you conclude (in plain English)?e) If the program actually works, have you made anerror? What kind? f) What two things could you do to decrease the prob-ability of making this kind of error? g) What are the advantages and disadvantages of takingthose two courses of action?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
Leaky gas tanks. Nationwide, it is estimated that 40%
of service stations have gas tanks that leak to some
extent. A new program in California is designed to lessen
of service stations have gas tanks that leak to some
extent. A new program in California is designed to lessen
the prevalence of these leaks. We want to assess the ef-
fectiveness of the program by seeing if the percentage of
fectiveness of the program by seeing if the percentage of
service stations whose tanks leak has decreased. To do
this, we randomly sample 27 service stations in
this, we randomly sample 27 service stations in
California and determine whether there is any evidence
of leakage. In our sample, only 7 of the stations exhibit
any leakage. Is there evidence that the new program is
effective?
a) What are the null and alternative hypotheses?
b) Check the assumptions necessary for inference.
c) Test the null hypothesis.
d) What do you conclude (in plain English)?
e) If the program actually works, have you made an
error? What kind?
of leakage. In our sample, only 7 of the stations exhibit
any leakage. Is there evidence that the new program is
effective?
a) What are the null and alternative hypotheses?
b) Check the assumptions necessary for inference.
c) Test the null hypothesis.
d) What do you conclude (in plain English)?
e) If the program actually works, have you made an
error? What kind?
f) What two things could you do to decrease the prob-
ability of making this kind of error?
ability of making this kind of error?
g) What are the advantages and disadvantages of taking
those two courses of action?
those two courses of action?
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