In 1941, 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, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 374 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 1941 survey and the recent survey who were total abstainers are . 39.39 and . 34.34, 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. A. The sample size is more than 5% of the population size for each sample. B. The samples are dependent. C. n1p11−p1≥10 and n2p21−p2≥10 Your answer is correct. D. The data come from a population that is normally distributed. E. The sample size is less than 5% of the population size for each sample. Your answer is correct. F. The samples are independent. Your answer is correct. Identify the null and alternative hypotheses for this test. Let p1 represent the population proportion of 1941 adults who were total abstainers and p2 represent the population proportion of recent adults who were total abstainers. Determine the null and alternative hypotheses. H0: p1 equals= p2 H1: p1 not equals≠ p2 Find the test statistic for this hypothesis test. 2.432.43 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. 0.0150.015 (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are ▼ one would expect a sample difference proportion ▼ the one observed in about nothing out of 100 repetitions of this experiment. (Round to the nearest integer as needed.)

In 1941, 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, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 374 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 1941 survey and the recent survey who were total abstainers are . 39.39 and . 34.34, 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. A. The sample size is more than 5% of the population size for each sample. B. The samples are dependent. C. n1p11−p1≥10 and n2p21−p2≥10 Your answer is correct. D. The data come from a population that is normally distributed. E. The sample size is less than 5% of the population size for each sample. Your answer is correct. F. The samples are independent. Your answer is correct. Identify the null and alternative hypotheses for this test. Let p1 represent the population proportion of 1941 adults who were total abstainers and p2 represent the population proportion of recent adults who were total abstainers. Determine the null and alternative hypotheses. H0: p1 equals= p2 H1: p1 not equals≠ p2 Find the test statistic for this hypothesis test. 2.432.43 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. 0.0150.015 (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are ▼ one would expect a sample difference proportion ▼ the one observed in about nothing out of 100 repetitions of this experiment. (Round to the nearest integer as needed.)

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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Related questions

Concept explainers

Question

1941,

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,

429

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

1100

adults and

374

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

1941

survey and the

recent

survey who were total abstainers are

. 39.39

and

. 34.34,

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

The samples are dependent.

n1p11−p1≥10

and n2p21−p2≥10

Your answer is correct.

The data come from a population that is normally distributed.

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

Your answer is correct.

The samples are independent.

Your answer is correct.

Identify the null and alternative hypotheses for this test. Let

represent the population proportion of

1941

adults who were total abstainers and

represent the population proportion of

recent

adults who were total abstainers.

Determine the null and alternative hypotheses.

H0:

equals=

H1:

not equals≠

Find the test statistic for this hypothesis test.

2.432.43

(Round to two decimal places as needed.)

Determine the P-value for this hypothesis test.

0.0150.015

(Round to three decimal places as needed.)

Interpret the P-value.

If the population proportions are

▼

one would expect a sample difference proportion

▼

the one observed in about

nothing

out of 100 repetitions of this experiment.

(Round to the nearest integer as needed.)

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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