Question

In: Statistics and Probability

Are adult gamers less likely to use a gaming console (Xbox, PlayStation, Wii, etc...) than teen...

Are adult gamers less likely to use a gaming console (Xbox, PlayStation, Wii, etc...) than teen gamers? A recent study surveyed 952 adult gamers and 1025 teen gamers and stated that 77% of the adults played on consoles while 80% of the teens played on consoles. Use rounding appropriate to the context to answer the following:

a. The sample count of adult gamers who use consoles is____

b.The sample count of teen gamers who use consoles is .____

Perform the test. Rounding to four decimal places, report your results.

c.The test statistic is_____

d.The P value is _____

e.At the 10% significance level: You should (Reject Not or Reject) the null hypothesis.

f.Should you conclude that adult gamers less likely to use a gaming console than teen gamers: Yes/ No

g.At the 5% significance level: You should (Not Reject or Reject) the null hypothesis.

h. Should you conclude that adult gamers less likely to use a gaming console than teen gamers. Yes/ No

Expert Solution

a. The sample count of adult gamers who use consoles is_ 952

b.The sample count of teen gamers who use consoles is ._ 1025

n1= 952

n2= 1025

p1= 0.77

p2 = 0.80

pooled P = (n1p1 +n2p2) / (n1+n2)

P = 1553 / 1977

P= 0.7856

H0 : P1 = P2 , That is adult gamers use a gaming console equal to teen gamers.

H1: P1 < P2 , That is adult gamers less likely to use a gaming console than teen gamers.

significance level = 10% or 0.10

Test statistics Z = ( p1-p2 ) / sqrt { P (1-P) )(1/n1+1/n2)

Z = 0.77 -0.80 / sqrt ( 0.7856*0.2144 * 0.00202603

(c ) The test statistic is = -1.624

p-value = 0.05218

d.The P value is = 0.05218

p-value (0.05218) < 0.10

Reject Ho

f. Should you conclude that adult gamers less likely to use a gaming console than teen gamers: Yes

g.At the 5% significance level: We should (Not Reject ) the null hypothesis. since (0.052 > 0.05)

h. Should you conclude that adult gamers less likely to use a gaming console than teen gamers. No

orchestra answered 2 years ago

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