Nationwide, football fans since 2010 on average have been satisfied with their team's draft performance 45%...

Nationwide, football fans since 2010 on average have been satisfied with their team's draft performance 45% of the time. Matt LaFleur wants to know if Packers fans really are less satisfied than the league average. Using the 540 Packers fans sampled in the previous question, LaFleur tests the hypothesis H₀ : p = 0.45, H_a : p < 0.45.

The P-value is:

Expert Solution

Answer:

Ho :   p =    0.45
H1 :   p <   0.45       (Left tail test)

Level of Significance,   α =    0.01
Number of Items of Interest,   x =   215
Sample Size,   n =    540

Sample Proportion ,    p̂ = x/n =    0.3981

Standard Error ,    SE = √( p(1-p)/n ) =    0.0214

Z Test Statistic = ( p̂-p)/SE = (   0.3981   -   0.45   ) /   0.0214   =   -2.4220


p-Value   =   0.0077 [excel function =NORMSDIST(z)]
Decision:   p-value<α , reject null hypothesis
There is enough evidence to say that Packers fans really are less satisfied than the league average

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orchestra answered 2 years ago

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