In 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, 363 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 286 indicated that they were total abstainers. Complete parts (a) and (b) below. (Round to three decimal places as needed.) (b) Has the proportion of adults who totally abstain from alcohol changed? Use the a = 0.10 level of significance. First verify the model requirements. Select all that apply. YA. The sample size is less than 5% of the population size for each sample. O B. The data come from a population that is normally distributed. O c. The sample size is more than 5% of the population size for each sample. YD. n,Pi (1-P1) 2 10 and ngP2(1-P2) 2 10 YE. The samples are independent. OF. The samples are dependent. Identify the null and alternative hypotheses for this test. Let p, represent the population proportion of 1945 adults who were total abstainers and p, represent the population proportion of recent adults who were total abstainers. Determine the null and alternative hypotheses. Họ: P1 = P2 H:P, * P2 Find the test statistic for this hypothesis test. 3.60 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. O(Round to throo doomnl ploog

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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In 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, 363 indicated that they were total abstainers. In a recent survey, the
same question was asked of 1100 adults and 286 indicated that they were total abstainers. Complete parts (a) and (b) below.
(Round to three decimal places as needed.)
(b) Has the proportion of adults who totally abstain from alcohol changed? Use the a = 0.10 level of significance.
First verify the model requirements. Select all that apply.
YA. The sample size is less than 5% of the population size for each sample.
O B. The data come from a population that is normally distributed.
O c. The sample size is more than 5% of the population size for each sample.
YD.
n,P1 (1-P) 2 10 and ny2 (1-P2) 2 10
YE. The samples are independent.
O F. The samples are dependent.
Identify the null and alternative hypotheses for this test. Let p, represent the population proportion of 1945 adults who were total abstainers and p, represent the population proportion of recent adults who were total abstainers.
Determine the null and alternative hypotheses.
Ho: P1 = P2
H: P1 + P2
Find the test statistic for this hypothesis test.
3.60 (Round to two decimal places as needed.)
Determine the P-value for this hypothesis test.
(Round to three decimal places as needed.)
Transcribed Image Text:In 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, 363 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 286 indicated that they were total abstainers. Complete parts (a) and (b) below. (Round to three decimal places as needed.) (b) Has the proportion of adults who totally abstain from alcohol changed? Use the a = 0.10 level of significance. First verify the model requirements. Select all that apply. YA. The sample size is less than 5% of the population size for each sample. O B. The data come from a population that is normally distributed. O c. The sample size is more than 5% of the population size for each sample. YD. n,P1 (1-P) 2 10 and ny2 (1-P2) 2 10 YE. The samples are independent. O F. The samples are dependent. Identify the null and alternative hypotheses for this test. Let p, represent the population proportion of 1945 adults who were total abstainers and p, represent the population proportion of recent adults who were total abstainers. Determine the null and alternative hypotheses. Ho: P1 = P2 H: P1 + P2 Find the test statistic for this hypothesis test. 3.60 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.)
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