Question
First Student's Turn Signal Data Men Women Turn Signal 537 442 No Signal 336 163 Total 873 605 Second Students Turn Signal Data Men Women
First Student's Turn Signal Data | ||
---|---|---|
Men | Women | |
Turn Signal | 537 | 442 |
No Signal | 336 | 163 |
Total | 873 | 605 |
Second Students Turn Signal Data | ||
---|---|---|
Men | Women | |
Turn Signal | 54 | 45 |
No Signal | 33 | 16 |
Total | 87 | 61 |
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.
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 (menwomen).
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.)
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 (menwomen) is ______%,_____%.
Please help
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