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Single proportion test According to an October 2019 study by the American Association of Endodontists (AAE)...

Single proportion test

According to an October 2019 study by the American Association of Endodontists (AAE) of 1000 Americans, 53% of survey respondents said that they would rather have a snake in their lap for 15 minutes than get a root canal. You are skeptical of this because snakes are creepy. If you take a survey of 306 people and find that 162 would rather have a snake in their lap for 15 minutes than get a root canal, what is the value of your test statistic? (z subscript t e s t end subscript)

Round your answer to two (2) decimal places

math   Statistics-And-Probability   
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Answer #1

Solution :

\hat p = x / n = 162 / 306 = 0.5294

P0 = 0.53

1 - P0 = 1-0.53 = 0.47

Test statistic = z

= \hat p - P0 / [\sqrtP0 * (1 - P0 ) / n]

=0.5294 - 0.53 / [\sqrt0.53*(0.47) /306 ]

= -0.02

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