Question

Elementary Statistics by Mario Triola, 13th edition Chapter 8.1.14

Claim: Fewer than 97% of adults have a cell phone. In a reputable poll of 1056 adults, 87% 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.)

Answer #1

Let p be the proportion of adults who have a cell phone.

In a reputable poll of 1056 adults, 87% said that they have a cell phone.

Therefore,

We want to test the claim that fewer than 97% of adults have a cell phone.

The hypothesis testing problem is:

The test statistic is:

Hence test statistic is:

Elementary Statistics by Mario Triola, 13th edition Chapter
8.1.17
The test statistic of z=2.23 is obtained when testing the claim
that p>0.3
a. Identify the hypothesis test as being two-tailed,
left-tailed, or right-tailed.
b. Find the P-value.
c. Using a significance level of α=0.05, should we reject H0,
or should we fail to reject H0?

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A poll of 2,133 randomly selected adults showed that 94% of
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N
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1996
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