Claim: Fewer than 94% of adults have a cell phone. In a reputable poll of 1179 adults, 89% said that they have a cell phone. Find the value of the test statistic.
Solution :
This is a left tailed test .
The null and alternative hypothesis is
H0 : p =0.94
Ha : p < 0.94
= 0.89
n =1179
P0 = 0.94
1 - P0 =1- 0.94 = 0.06
Test statistic = z
=
- P0 / [
P0
* (1 - P0 ) / n]
=0.89- 0.94 / [
0.94*(1-0.94)
/1179 ]
= -7.229
P(z < -7.229) = 0
P-value = 0
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