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In a nationwide survey of n = 500 adults, the sample proportion who answered yes to the question "During the last year did anyone break into or somehow illegally get into your home or apartment?" was .06 (or 6%). Suppose the FBI set of goal of 10% for breakins, and they want to see if the current data show they are below that mark. What is the standard error for a hypothesis test (use 4 decimal places)? .0564 .0106 0 .0134 .0900

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opudodennis

Answer:

0.0134

Step-by-step explanation:

Hypothesis

Null hypothesis: p=0.1

Alternative hypothesis: p<0.1

Sample, n=500

Standard error for proportion= [tex]\sqrt {\frac{ p(1-p)}{n}}[/tex]

Standard error for population=[tex]\sqrt {\frac{ 0.1(1-0.1)}{500[/tex]

Standard error for a hypothesis test=0.0134

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