Astatistics student wanted to find out whether gender and the use of turn signals when driving were independent. When driving his truck for several weeks, he noted the gender of each person he observed and whether he or she used the turn signal when turning or changing lanes. A second student collected similar data with a smaller sample size. The data the students collected are shown in the tables below. Complete parts (a) through (d) below. E Click the icon to view the first student's data. E Click the icon to view the second student's data. a. From the first student's data, what percentage of men used turn signals, and what percentage of women used them? % of men used turn signals, and % of women used them. (Round to one decimal place as needed.) b. From the first student's data, assuming the conditions are met (although admittedly this was not a random selection), find a 95% confidence interval for the difference in percentages (men - women). State whether the interval captures 0, and explain whether this provides evidence that the proportions of men and women who use signals differ in the population. The 95% confidence interval for the difference in percentages (men - women) is %. %). (Round to one decimal place as needed.) The interval 0, suggesting that it V plausible that the proportions of men and women who use turm signals are the same in the population. Since the boundary values V we V use turn signals with greater likelihood than the other gender. c. From the second student's data, first find the percentage of men and the percentage of women who used turn signals, and then, assuming the conditions are met, find a 95% confidence interval for the difference in percentages. State whether the interval captures 0, and explain whether this provides evidence that the percentage of men who use turn signals differs from the percentage of women who do so. % of men used turn signals, and % of women used them. (Round to one decimal place as needed.) The 95% confidence interval for the difference (men - women) is (%. %). The interval V 0, suggesting that it V plausible that the proportions of men and women who use tur signals are the same in the population. Since the boundary values V we V use turn signals with greater likelihood than the other gender. d. Are the conclusions in parts (b) and (c) different? Explain.
Astatistics student wanted to find out whether gender and the use of turn signals when driving were independent. When driving his truck for several weeks, he noted the gender of each person he observed and whether he or she used the turn signal when turning or changing lanes. A second student collected similar data with a smaller sample size. The data the students collected are shown in the tables below. Complete parts (a) through (d) below. E Click the icon to view the first student's data. E Click the icon to view the second student's data. a. From the first student's data, what percentage of men used turn signals, and what percentage of women used them? % of men used turn signals, and % of women used them. (Round to one decimal place as needed.) b. From the first student's data, assuming the conditions are met (although admittedly this was not a random selection), find a 95% confidence interval for the difference in percentages (men - women). State whether the interval captures 0, and explain whether this provides evidence that the proportions of men and women who use signals differ in the population. The 95% confidence interval for the difference in percentages (men - women) is %. %). (Round to one decimal place as needed.) The interval 0, suggesting that it V plausible that the proportions of men and women who use turm signals are the same in the population. Since the boundary values V we V use turn signals with greater likelihood than the other gender. c. From the second student's data, first find the percentage of men and the percentage of women who used turn signals, and then, assuming the conditions are met, find a 95% confidence interval for the difference in percentages. State whether the interval captures 0, and explain whether this provides evidence that the percentage of men who use turn signals differs from the percentage of women who do so. % of men used turn signals, and % of women used them. (Round to one decimal place as needed.) The 95% confidence interval for the difference (men - women) is (%. %). The interval V 0, suggesting that it V plausible that the proportions of men and women who use tur signals are the same in the population. Since the boundary values V we V use turn signals with greater likelihood than the other gender. d. Are the conclusions in parts (b) and (c) different? Explain.
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Author:Amos Gilat
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
Transcribed Image Text:A statistics student wanted to find out whether gender and the use of turn signals when driving were independent. When driving his truck for several weeks, he noted the gender of each person he observed and whether he or she used the turn
signal when turning or changing lanes. A second student collected similar data with a smaller sample size. The data the students collected are shown in the tables below. Complete parts (a) through (d) below.
E Click the icon to view the first student's data.
E Click the icon to view the second student's data.
a. From the first student's data, what percentage of men used turn signals, and what percentage of women used them?
|% of men used turn signals, and % of women used them.
(Round to one decimal place as needed.)
b. From the first student's data, assuming the conditions are met (although admittedly this was not a random selection), find a 95% confidence interval for the difference in percentages (men - women). State whether the interval captures 0, and
explain whether this provides evidence that the proportions of men and women who use signals differ in the population.
The 95% confidence interval for the difference in percentages (men - women) is ( %, %).
(Round to one decimal place as needed.)
The interval
V 0, suggesting that it
V plausible that the proportions of men and women who use turn signals are the same in the population. Since the boundary values
we
use turn signals with greater likelihood than the other gender.
c. From the second student's data, first find the percentage of men and the percentage of women who used turn signals, and then, assuming the conditions are met, find a 95% confidence interval for the difference in percentages. State whether
the interval captures 0, and explain whether this provides evidence that the percentage of men who use turn signals differs from the percentage of women who do so.
% of men used turn signals, and % of women used them.
(Round to one decimal place as needed.)
The 95% confidence interval for the difference (men - women) is ( %, %).
The interval
V0, suggesting that it
V plausible that the proportions of men and women who use turn signals are the same in the population. Since the boundary values
V we
use turn signals with greater likelihood than the other gender.
d. Are the conclusions in parts (b) and (c) different? Explain.

Transcribed Image Text:firs
First Student's Turn Signal Data
Second Student's Turn Signal Data
nu
ne
firs
the
e whether the
Men
Women
Men
Women
Turn signal
No signal
Turn signal
No signal
535
402
54
40
nfi
ne
424
205
42
21
Total
959
607
Total
96
61
we
Print
Done
Print
Done
secono studeIs uata, st na ne pecentaye or mIeI ana ne percentage or women WITOuscu turn signais, and uien, assuming une condiions are met, ina a 957o Comdeice intervartor une diference in per
captures 0, and explain whether this provides evidence that the percentage of men who use turn signals differs from the percentage of women who do so.
used turn signals and % of women used them
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