Question

2012 study concluded that less or equal to seventy percent of Canadian households had an internet connection. A sample of 84 households taken in 2013 showed that 60 of them had an internet connection. We are interested in determining whether or not there has been a significant increase in the percentage of the Canadian households that have internet connections. The null hypothesis is to be tested at the 5% level of significance. Calculate the p-value

Select one:

a. P-value = 0.3876

b. P-value = 0.03876

c. P-value = 3.876

d. P-value = 0.003876

Answer 1

Qua 2012 Study concluded that less on equal to seventy percent of Canadian house halds had an internet connection. A Sample of 84 households taken in 2013 showed that go of them had an internet connection. We are interested in determining whether not there has been a significant increase in the percen tage of the Canadian households that have internet connections. The null hypothesis is to be tested at the 5% level of significance calculate the P-value On salution is Mo: P = 0.70 Ha i P<0.70 Sample size n = 84 ca 60 0.714185 84 7 Hare 0.014285 the difference of 0.714285 - 0,70 % is this Stastically significant due to Chance np = 84x0.20 = 58.8 nll-p) = 84*0.30 =18,2 5 - P(1-P) 0.70 (1-0,70) 0,7x0.3 84 h 84 400 0,05 20 2- Scoro Z 0.7 P uir -0.2897 0.05 z = // = 0.2857

find Normal cod.f P(Z < 0.2857) = 0.613 The Shaded arca to the P-value left of the a valuee - 0.613 2 7. 3 3 Area to the right of the 2-value 0.2857 I-0.612 0,388 P-value 0,388 0,3876 Answis option (a) is correct P-value 0.3876

Option (a) is correct

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