Claim: Fewer than 97% of adults have a cell phone. In a reputable poll of 1235 adults, 91% said that they have a cell phone. Find the value of the test statistic.
The value of the test statistic is
Given :
Number of sample = n = 1235
Sample proportion =
= 0.91
Hypothesis test :
The null and alternative hypothesis is
Ho : p = 0.97
Ha : p < 0.97
Test statistic :
z = (
- p)/[√p(1-p)/n]
= (0.91 - 0.97)/[√0.97(1-0.97)/1235]
= -0.06/0.00485
= -12.36
Therefore the value of test statistic is z = -12.36
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