Claim: Fewer than 97% of adults have a cell phone. In a reputable poll of 1093 adults, 90% said that they have a cell phone. Find the value of the test statistic.
Solution:
Given that,
= 0.90
P0 = 0.97
1 - P0 = 0.03
Test statistic = z
= - P0 / [P0 * (1 - P0 ) / n]
= 0.90 - 0.97 / [(0.97 * 0.03) / 1093]
= -13.57
Test statistic = -13.57
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