Difference between proportion of students of ear infection

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Q1) Many elementary school students in school district presently have ear infections.  Random sample of children in 2 different schools determined that 16 of 42 at one school and 21 of 36 at other had this infection.  At 0.05 level of significance, is there enough evidence to conclude that difference exists between proportion of students who have ear infections at one school and the other?

a) No, there is not enough information to refuse hypothesis that the proportions of students at the two schools who have ear infections are the same because the test value -1.78 is inside the acceptance region (-1.96,1.96).

b)Yes, there is enough information to refuse the hypothesis that the proportions of students at the two schools who have ear infections are the same as the test value -2.34 is outside the acceptance region (-1.96,1.96).

c)Yes, there is enough information to refuse the hypothesis that the proportions of students at the two schools who have ear infections are the same as the test value -8.76 is outside the acceptance region (-1.96,1.96).

d)Yes, there is enough information to refuse the hypothesis that the proportions of students at the two schools who have ear infections are the same as the test value -15.73 is outside acceptance region (-1.96,1.96).

Reference no: EM1318382

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