Answered: A 0.05 significance level is used for a…

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 0.05 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is greater than 0.5. Assume that sample data consists of 78 girls in 144 births, so the sample statistic of
13
24 results in a z score that is 1 standard deviation above 0. Complete parts (a) through (h) below.
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Part 1
a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.
A.
H0: p=0.5
H1: p<0.5
B.
H0: p=0.5
H1: p≠0.5
C.
H0: p=0.5
H1: p>0.5
D.
H0: p≠0.5
H1: p>0.5
Part 2
b. What is the value of α?
α=enter your response here (Type an integer or a decimal.)
Part 3
c. What is the sampling distribution of the sample statistic?

Normal distribution

χ2

Student (t) distribution

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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