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Ear infections A new vaccine was recently tested to see if it could prevent the painful...

Ear infections A new vaccine was recently tested to see if it could prevent the painful and recurrent ear infections that many infants suffer from. The Lancet, a medical journal, reported a study in which babies about a year old were randomly divided into two groups. One group received vaccinations; the other did not. During the following year, only 333 of 2455 vaccinated children had ear infections, compared to 499 of 2452 unvaccinated children in the control group. Does it appear that the new vaccine is more effective?

Does it meet conditions for a 2 prop Z Test (state conditions)

  • State the hypothesis (Ho and Ha)

  • Provide Z statistic and P value

  • Provide conclusion in context of scenario

  • State what type of error you might have committed in previous step, and the consequences

  • What might you do to reduce probability of the error you stated previously

Please be specific and show work!

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