Answered: Hypotheses and summary sample…

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

Hypotheses and summary sample statistics are given for a test for a proportion.

Test H0 : p=0.25 vs Ha : p<0.25 when the sample has p^=0.22 and n=1000.

Find the value of the standardized z-test statistic and then use the standard normal distribution to find the p-value.

Round your answers to three decimal places.

z-test statistic =

p-value =

What is the conclusion using a 5% significance level?

Reject H0H0.

Do not reject H0H0.

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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