Use proportion of Americans with no landline is 042 In a sam

Use proportion of Americans with no landline is 0.42. In a sample of 50 people, 18 had no landline. Does this provide sufficient evidence to conclude that the proportion of Americans without landlines has decreased?

Solution

H0:P=P0

H1:P<P0

Z=P-P0/sqrt(P0Q0)/n

P0=0.42

P=18/50

n=50

since p is greater than 0.05, we accept H0.

Observed Hypothesized
0.36 0.42 p (as decimal)
18/50 21/50 p (as fraction)
18. 21. X
50 50 n
0.0698 std. error
-0.86 z
.1950 p-value (one-tailed, lower)
Use proportion of Americans with no landline is 0.42. In a sample of 50 people, 18 had no landline. Does this provide sufficient evidence to conclude that the p

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