Claim: Fewer than 98% of adults have a cell phone. In a reputable poll of 1200 adults, 90% said that they have a cell phone. Find the value of the test statistic.
The value of the test statistic is _______
(Round to two decimal places as needed.)
Solution :
The null and alternative hypothesis is
H0 : p = 0.98
Ha : p < 0.98
= 0.90
1 - P0 = 1 - 0.98 = 0.02
Test statistic = z
=
- P0 / [
P0 * (1 -
P0 ) / n]
= 0.90 - 0.98 /
[
(0.98 * 0.02) / 1200]
= - 0.08 / 0.989941
= - 0.08
The value of test statistic is - 0.08
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