Answered: In 1945, an organization surveyed 1100…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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Question

1945,

an organization surveyed

1100

adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the

1100

adults surveyed,

407

indicated that they were total abstainers. In a recent survey, the same question was asked of

1100

adults and

341

indicated that they were total abstainers. Complete parts (a) and (b) below.

(a) Determine the sample proportion for each sample.

The proportions of the adults who took the

1945

survey and the

recent

survey who were total abstainers are

0.3700.370

and

. 310.310,

respectively.

(Round to three decimal places as needed.)

(b) Has the proportion of adults who totally abstain from alcohol changed? Use the

α=0.05

level of significance.

First verify the model requirements. Select all that apply.

The data come from a population that is normally distributed.

The samples are independent.

The sample size is less than 5% of the population size for each sample.

The samples are dependent.

The sample size is more than 5% of the population size for each sample.

n1p1(1−p1)≥10

and

n2p2(1-p2)≥10

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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