Question

A survey was conducted at a New York high school on the preferred sports of a cohort of students from the options of of football, basketball, athletics or swimming. The results are shown in the table below, with results categorised by gender. Football Basketball Athletics Swimming Boys 165 191 203 101 Girls 133 145 155 78 A ?²-test was performed at the 5% significance level to determine if sport preference is independent of gender. (a) State the null hypothesis for this test, H?. (b) Calculate the expected number of boys who preferred basketball. (c) Use your graphic display calculator to find the p-value for this test. (d) State whether a students preferred sport is independent of their gender. Give a reason for your answer.

          A survey was conducted at a New York high school on the preferred sports of a cohort of students from the options of of football, basketball, athletics or swimming. The results are shown in the table below, with results categorised by gender.

Football Basketball Athletics Swimming
Boys 165 191 203 101
Girls 133 145 155 78

A ?²-test was performed at the 5% significance level to determine if sport preference is independent of gender.

(a) State the null hypothesis for this test, H?.
(b) Calculate the expected number of boys who preferred basketball.
(c) Use your graphic display calculator to find the p-value for this test.
(d) State whether a students preferred sport is independent of their gender. Give a reason for your answer.

A survey was conducted at a New York high school on the preferred sports of a cohort of students from the options of of football, basketball, athletics or swimming. The results are shown in the table below, with results categorised by gender.

Football Basketball Athletics Swimming
Boys 165 191 203 101
Girls 133 145 155 78

A ?²-test was performed at the 5% significance level to determine if sport preference is independent of gender.

(a) State the null hypothesis for this test, H?.
(b) Calculate the expected number of boys who preferred basketball.
(c) Use your graphic display calculator to find the p-value for this test.
(d) State whether a students preferred sport is independent of their gender. Give a reason for your answer.

Added by Kelly B.

Question

Please give Ace some feedback