In: Statistics and Probability
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
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