​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 528 randomly selected adults showed that 62​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Respuesta :

Answer:

5.514

Step-by-step explanation:

we have given [tex]\bar{p}[/tex]=62% =0.62

n=528

claim : most of adults erase all their personal information online ([tex]p> 0.5[/tex]

p=0.5 q=1-p=1-0.5=0.5

now test statistic is

[tex]\frac{\bar{p}-p}{\sqrt{\frac{pq}{n}}}=\frac{0.62-0.5}{\sqrt{\frac{0.5\times 0.5}{528}}}=5.514[/tex]

so the test  statistic =5.514

The test statics is [tex]5.514[/tex]

we have given [tex]\bar{p}[/tex]=[tex]62[/tex] % =[tex]0.62[/tex]  and [tex]n=528[/tex]

Claim : Most of adults erase all their personal information online [tex]\therefore p>2[/tex]

Hence, at [tex]p=0.5, q=1-p=1-0.5=0.5[/tex]

Therefore test statistic is

[tex]\frac{\bar{p}-q}{\sqrt{\frac{\bar{p}q}{n}}}=\frac{{0.62}-0.5}{\sqrt{\frac{{0.62}\times 0.5}{528}}}=5.514[/tex]

So the test  statistic =[tex]5.514[/tex]

Learn more about test statics.

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