Answered: A study addressed the issue of whether…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

Your answer is correct.

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

The test statistic is

(round in twodecimal )

P-value.

Round in two decimal

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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