Answered: n a recent poll of 755 randomly…

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 5E

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Question

100%

In a recent poll of

755

randomly selected adults,

585

said that it is morally wrong to not report all income on tax returns. Use a

0.05

significance level to test the claim that

75%

of adults say that it is morally wrong to not report all income on tax returns. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

In a recent poll of 755 randomly selected adults, 585 said that it is morally wrong to not report all income on tax returns. Use a 0.05 significance level to test the claim that 75% of adults say that it is morally wrong to not report all income on tax returns. Identify the null hypothesis, alternative hypothesis, test statistic, P-value,
conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.
Identify the correct null and alternative hypotheses. Choose the correct answer below.
O A. Ho: p= 0.75
H,: p#0.75
О В. На р30.75
H,: p>0.75
O D. Ho: p= 0.25
ОС. На: р-0.25
H,: p+0.25
H,: p> 0.25
ОЕ. Но р3D0.25
H,: p< 0.25
OF. H,: p= 0.75
H,: p<0.75
The test statistic is z =
(Round to two decimal places as needed.)
The P-value is (Round to four decimal places as needed.)
Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim.
V H.. There
V sufficient evidence to warrant rejection of the claim that 75% of adults say that it is morally wrong not to report all income on tax returns.
Fail to reject
Reject

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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