Question

# ​Claim: Fewer than 97​% of adults have a cell phone. In a reputable poll of 1093...

​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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