Answered: A study addressed the issue of whether…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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Question

A study addressed the issue of whether pregnant women can correctly guess the gender of the baby. Among

110

recruited subjects,

57.3%

of them correctly guessed the gender of the baby. Use these sample data to test the claim that the success rate of such guesses is no different than the 50% success rate expected with random chance guesses. Use a

0.05

significance level. Identify the null hypothesis, alternative hypothesis, test statistic, and P-value, then state the conclusion about the null hypothesis, as well as the 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 null and alternative hypotheses. Choose the correct answer below.

H0:

p=0.5

H1:

p<0.5

H0:

p=0.5

H1:

p≠0.5

H0:

p=0.5

H1:

p>0.5

H0:

p=0.573

H1:

p>0.573

H0:

p=0.573

H1:

p<0.573

H0:

p=0.573

H1:

p≠0.573

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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