A report provided the following information on gender of smartphone users for representative samples of young people age 15 to 24 in several different countries. Country Percent Female Percent Male United States 53% 47% Spain 38% 62% Italy 37% 63% India 19% 81% (a) Suppose the sample sizes were 1000 for the United States and for India and 500 for Spain and Italy. Complete the following two-way table by entering the observed counts. Country Female Male United States Spain Italy India (b) Carry out a hypothesis test to determine if there is convincing evidence that the gender proportions are not the same for all four countries. Use a significance level of 0.05. State the null and alternative hypotheses. H0: The gender proportions of smartphone users are not the same for all countries. Ha: The gender proportions of smartphone users are the same for all countries.H0: The gender proportions of smartphone users are the same for all countries. Ha: The gender proportions of smartphone users are not the same for all countries. H0: Gender and country are not independent. Ha: Gender and country are independent.H0: Gender and country are independent. Ha: Gender and country are not independent. Calculate the test statistic. (Round your answer to two decimal places.) χ2 = What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.) P-value = What can you conclude? Do not reject H0. There is enough evidence to conclude that the gender proportions are not the same for the four countries. Reject H0. There is enough evidence to conclude that the gender proportions are not the same for the four countries. Reject H0. There is not enough evidence to conclude that the gender proportions are not the same for the four countries.Do not reject H0. There is not enough evidence to conclude that the gender proportions are not the same for the four countries.

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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A report provided the following information on gender of smartphone users for representative samples of young people age 15 to 24 in several different countries.

Country	Percent Female	Percent Male
United States	53%	47%
Spain	38%	62%
Italy	37%	63%
India	19%	81%

(a)

Suppose the sample sizes were 1000 for the United States and for India and 500 for Spain and Italy. Complete the following two-way table by entering the observed counts.

Country	Female	Male
United States
Spain
Italy
India

(b)

Carry out a hypothesis test to determine if there is convincing evidence that the gender proportions are not the same for all four countries. Use a significance level of 0.05.

State the null and alternative hypotheses.

H₀: The gender proportions of smartphone users are not the same for all countries.
H_a: The gender proportions of smartphone users are the same for all countries.H₀: The gender proportions of smartphone users are the same for all countries.
H_a: The gender proportions of smartphone users are not the same for all countries. H₀: Gender and country are not independent.
H_a: Gender and country are independent.H₀: Gender and country are independent.
H_a: Gender and country are not independent.

Calculate the test statistic. (Round your answer to two decimal places.)

χ² =

What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.)

P-value =

What can you conclude?

Do not reject H₀. There is enough evidence to conclude that the gender proportions are not the same for the four countries. Reject H₀. There is enough evidence to conclude that the gender proportions are not the same for the four countries. Reject H₀. There is not enough evidence to conclude that the gender proportions are not the same for the four countries.Do not reject H₀. There is not enough evidence to conclude that the gender proportions are not the same for the four countries.

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