IN EXCEL-The accompanying sheet of data represents a survey of 955 children who
ID: 3058018 • Letter: I
Question
IN EXCEL-The accompanying sheet of data represents a survey of 955 children who have been evaluated for autism spectrum disorder. For each subject (they are numbered) the subjects sex is listed in one column and whether or not the subject was diagnosed with autism spectrum disorder is listed in another column. This problem asks you to compare the proportion of boys with autism to the proportion of girls with autism. You can avoid tedious counting by using Excel’s sorting function to arrange the list so that it is easy to see the number of boys, the number of girls, and the number of each group with autism. (a) (4 points) Scientists believe that more boys have autism than girls. State the null and alternative hypotheses relative to this belief. (b) (4 points) Find the z test statistic. (c) (4 points) What is the P-value for your z? (d) (4 points) Do the data give good evidence, for at a signicance level of 0.06, that a smaller proportion of girls have autism than boys?
There are 437 girls and 518 boys. 4 girls have autism and 10 boys have autism.
Explanation / Answer
IN EXCEL-The accompanying sheet of data represents a survey of 955 children who have been evaluated for autism spectrum disorder. For each subject (they are numbered) the subjects sex is listed in one column and whether or not the subject was diagnosed with autism spectrum disorder is listed in another column. This problem asks you to compare the proportion of boys with autism to the proportion of girls with autism. You can avoid tedious counting by using Excel’s sorting function to arrange the list so that it is easy to see the number of boys, the number of girls, and the number of each group with autism. (a) (4 points) Scientists believe that more boys have autism than girls. State the null and alternative hypotheses relative to this belief. (b) (4 points) Find the z test statistic. (c) (4 points) What is the P-value for your z? (d) (4 points) Do the data give good evidence, for at a signicance level of 0.06, that a smaller proportion of girls have autism than boys?
There are 437 girls and 518 boys. 4 girls have autism and 10 boys have autism.