Answered: A research study was conducted about…

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 research study was conducted about gender differences in "sexting." The researcher believed that the proportion of girls involved in "sexting" is less than the proportion of boys involved. The data collected in the spring of 2010 among a random sample of middle and high school students in a large school district in the southern United States is out of 2231 males, 183 particpated in sexting. Out of 2169, 156 particpated. Is the proportion of girls sending sexts less than the proportion of boys "sexting?" Test at a 1% level of significance.

a) If we use � to denote the boys and � to denote the girls, identify the correct alternative hypothesis.

�1:��>��
�1:��≠��
�1:��<��

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

z =`

c) Find the p-value and round to 4 decimals.

p =

d) Make a decision.

Fail to reject the null hypothesis
Reject the null hypothesis

e) Write the conclusion.

There is sufficient evidence to support the claim that the proportion of girls who sext is less than boys.
There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys.

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