Claim: Fewer than 95% of adults have a cell phone. In a reputable poll of 1170 adults, 90% said that they have a cell phone. Find the value of the test statistic.

Answer:
From the information given, it is found that the value of the test statistic is z = -11.97.
At the null hypothesis, it is tested if the proportion is of at least 95%, that is:
At the alternative hypothesis, it is tested if the proportion is of less than 95%< that is:
The test statistic is given by:
In which:
is the sample proportion.
p is the value tested at the null hypothesis.
n is the sample size.
In this problem, we have that the parameters are:
.
Thus, the value of the test statistic is:
The value of the test statistic is z = -11.97.
Step-by-step explanation:
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