I have my stats final tomorrow if someone could help me that would be great!!!!

Question

I have my stats final tomorrow if someone could help me that would be great!!!!

1.) The following table lists the smoking habits of parents for some high school students who smoke based on a survey. The numbers are the numbers of students falling in each category.

Calculate the expected frequency for both parents smoke under H0: p1 = p2 = p3, where p1, p2, p3 are the probabilities for "Both parents smoke", "One parent smokes", "Neither parents smokes", respectively.

Round your answer to the nearest 0.01.

2.)Continue the previous problem. Find the number of degrees of freedom for the test statistic for testing H0: p1 = p2 = p3.

3.)How are the smoking habits of students related to their parents' smoking habits? Here are data from a survey of students in some high schools.

Calculate the expected frequency for students who smoke but neither parent smokes under the independence of student's smoking habit and parents' smoking habit.

Round your answer to the nearest 0.01.

Student smokes Both parents smoke 400 One parent smokes 416 Neither parent smokes 188 Total 1004

Explanation / Answer

1)

Total sample size of the survey = 1004

Under H0: p1 = p2 = p3. That is probabilities for "Both parents smoke", "One parent smokes", "Neither parents smokes" are equal to 1/3

Thus,

Expected frequency for both parents smoke = Sample Size * probability

= 1004 * (1/3) = 334.67

2)

Degrees of freedom for the test statistic for testing H0: p1 = p2 = p3 is number of groups - 1

Degrees of freedom = 3 - 1 = 2

3)

Expected frequency for students who smoke but neither parent smokes

= (Total Students who smoke) * (Total number of parent who neither smokes) / Total Sample

= (1004 * 1356) / 5375

= 253.29

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