Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

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

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Linear Algebra and Its Applications

Authors: Gilbert Strang

4th edition

30105678, 30105676, 978-0030105678

More Books

Students also viewed these Mathematics questions

Question

Define deferred revenue. Why is it a liability?

Answered: 1 week ago

Question

How much control will you have over your daily life?

Answered: 1 week ago

Question

What contributions or services will you provide to others?

Answered: 1 week ago

Question

What types of hobbies and activities will you do in your free time?

Answered: 1 week ago