Answered: 2011, a U.S. Census report determined…

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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In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.

a) Determine the null and alternative hypotheses.

H0H0: p=p=

HaHa: pp Select an answer > < not = (Put in the correct symbol and value)

b) Determine the test statistic. Round to two decimals.

z=z=

c) Find the p-value. Round to 4 decimals.

P-value =

d) Make a decision.

Reject the null hypothesis
Fail to reject the null hypothesis

e) Write the conclusion.

There is sufficient evidence to support the claim that the percentage of college students who work is different than 71%.
There is not sufficient evidence to support the claim that the percentage of college students who work is different than 71%.

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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