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.

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 class=

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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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