(Solved): Please help thank you! A study was done to determine if there was an association between the am ...

Please help thank you!

A study was done to determine if there was an association between the amount of light in infants' bedrooms (darkness, nightlight, roomlight) and whether or not the child was near-sighted when they were older. It was found that \( 13.6 \% \) of those sleeping in darkness were near-sighted, \( 29.4 \% \) of those sleeping with a nightlight were near-sighted, and \( 33.3 \% \) of those sleeping in roomlight were nearsighted. (See below) a) Write out the null and alternative hypotheses for this study. b) Compute the MAD (mean absolute difference) statistic. c) A null distribution was generated for this example and is shown above. Circle the dots that represent the numerator of the \( p \)-value. d) What is the response variable in this study? Is it categorical or quantitative? e) When this test is run a p-value of about \( 0.03 \) will be obtained. So while there is overall significance, can we conclude ALL the population proportions are different from each other? Answer this by finding appropriate confidence intervals with the Theory-based inference applet. Give the needed confidence interval or intervals and explain your answer. f) Calculate the Chi-square statistics then test the null hypothesis with \( d . f .=2 \)