Transcribed Image Text:A major auto dealer has recently unleashed a new advertising campaign for its line of 4-wheel-drive vehicles. Knowing that previously 31% of all people who saw the commercial and came to visit the dealership purchased one of those cars, they would like to see if the
new commercial improves on those chances. Let p represent the proportion of all car buyers who would see the new ad and then purchase that car, so that the null hypothesis is p = 0.31.
LUSE SALT
(a) Which of these is the correct alternative hypothesis?
?H:p> 0.31
OH: P = 0.31
OH: P<0.31
OH: P+ 0.31
(b) Suppose a sample of 50 people see the ad and 40% of those purchase the car. Is 40% a parameter or a statistic?
O parameter
statistic
(c) Suppose 40% of a sample of 50 consumers purchase the car. That would lead to what P-value in deciding whether you have sufficient evidence that the new ad is an improvement over the old one? (Use a table or technology. Round your answer to four decimal
places.)
P-value =
(d) Suppose that 40% of a sample of 100 consumers purchase the car. Is there sufficient evidence to conclude that the new ad is an improvement over the old one? Determine the P-value of this test. (Use a table or technology. Round your answer to four decimal
places.)
P-value=
(e) With 40% of your sample choosing to purchase the car instead of the 31% that was typical using the older ad, which of the two sample sizes, 50 or 100, provided better evidence that the new ad works better than the older one?
O 50
100
Why is this so?
Larger
Y
?samples may provide better evidence against the null hypothesis than smaller ? ones because in the long run, it’s going to be less
population proportion really is.
?likely that the proportion of people who purchase cars will stray far from whatever the true
new commercial improves on those chances. Let p represent the proportion of all car buyers who would see the new ad and then purchase that car, so that the null hypothesis is p = 0.31.
LUSE SALT
(a) Which of these is the correct alternative hypothesis?
?H:p> 0.31
OH: P = 0.31
OH: P<0.31
OH: P+ 0.31
(b) Suppose a sample of 50 people see the ad and 40% of those purchase the car. Is 40% a parameter or a statistic?
O parameter
statistic
(c) Suppose 40% of a sample of 50 consumers purchase the car. That would lead to what P-value in deciding whether you have sufficient evidence that the new ad is an improvement over the old one? (Use a table or technology. Round your answer to four decimal
places.)
P-value =
(d) Suppose that 40% of a sample of 100 consumers purchase the car. Is there sufficient evidence to conclude that the new ad is an improvement over the old one? Determine the P-value of this test. (Use a table or technology. Round your answer to four decimal
places.)
P-value=
(e) With 40% of your sample choosing to purchase the car instead of the 31% that was typical using the older ad, which of the two sample sizes, 50 or 100, provided better evidence that the new ad works better than the older one?
O 50
100
Why is this so?
Larger
Y
?samples may provide better evidence against the null hypothesis than smaller ? ones because in the long run, it’s going to be less
population proportion really is.
?likely that the proportion of people who purchase cars will stray far from whatever the true
