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. Click the icon to view the first student's data. 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? 55.9% of men used turn signals, and 68.6% 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.) First Student's Turn Signal Data Second Student's Turn Signal Data - X Men Women Men Turn signal 540 448 Turn signal 54 No signal 426 205. No signal 43 F Total 966 653 Total 97 428 Women 45 20 65
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. Click the icon to view the first student's data. 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? 55.9% of men used turn signals, and 68.6% 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.) First Student's Turn Signal Data Second Student's Turn Signal Data - X Men Women Men Turn signal 540 448 Turn signal 54 No signal 426 205. No signal 43 F Total 966 653 Total 97 428 Women 45 20 65
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Part b and c please?

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.
Click the icon to view the first student's data.
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?
55.9% of men used turn signals, and 68.6% 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.)
First Student's Turn Signal Data
Second Student's Turn Signal Data
- X
Men
Women
Men
Turn signal
540
448
Turn signal
54
No signal
426
205.
No signal
43
F
Total
966
653
Total
97
428
Women
45
20
65
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