A study1 conducted in July 2015 examines smartphone ownership by US adults. A random sample of 2001 people were surveyed, and the study shows that 688 of the 989 men own a smartphone and 671 of the 1012 women own a smartphone. We want to test whether the survey results provide evidence of a difference in the proportion owning a smartphone between men and women.

Let group 1 be US men and let group 2 be US women.

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1Anderson M, "The Demographics of Device Ownership," pewresearch.org, October 29, 2015.

(a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,rho,p^,p^1,p^2,r.

H0: vs Ha:Edit

(b) Give the notation for the sample statistic.

p1-p2

p^1-p^2

μ1-μ2

x-1-x-2

rho1-rho2

r1-r2

(c) Give the value for the sample statistic.

Value: Enter your answer in accordance to the question statement the absolute tolerance is +/-0.003

(d) In the sample, which group has higher smartphone ownership: men or women?

Women

Men

(e) Use StatKey or other technology to find the p-value.

Round your answer to three decimal places.

p-value = Enter your answer in accordance to the question statement the absolute tolerance is +/-0.03