Question

19. Find the expected count under the null hypothesis. A sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Use a Chi-Square independence test to determine if age and type of movie preferred are independent at the 5% level of significance.

18-23 years old 24-29 years old 3 0-35 years old Totals

Drama 8 15 11 34

Science Fiction 12 10 8 30

Comedy 9 8 12 29

Totals 29 33 31 93

Provided the assumptions of the test are satisfied, find the expected number of 24-29 year-olds who prefer comedies under the null hypothesis.

a) 8

b) 11.56

c) 10.29

d) 7.34

Answer #1

18-23 | 24-29 | 30-35 | Total | |

Drama | 8 | 15 | 11 | 34 |

Science Fiction | 12 | 10 | 8 | 30 |

Comedy | 9 | 88 |
12 | 29 |

Total | 29 | 33 | 31 | 93 |

To calculate the expected value in a chi sqaure under the null hypothesis

Expected value =

is column total

is row total

N is grand total

For 24-29 year-olds who prefer comedies under the null hypothesis.

Expected value =

**Expected value = 10.29**

**c) 10.29**

Mr. Acosta, a sociologist, is doing a study to see if there is a
relationship between the age of a young adult (18 to 35 years old)
and the type of movie preferred. A random sample of 93 adults
revealed the following data. Test if age and type are movie
preferred are independent at the 0.05 level. Person’s AgeMovie
18-23 yr 24-29 yr 30-35 yr Total Musical 8 15 11 34 Science Fiction
12 10 8 30 Comedy 9 8...

Mr. Acosta, a sociologist, is doing a study to see if there is a
relationship between the age of a young adult (18 to 35 years old)
and the type of movie preferred. A random sample of 93 adults
revealed the following data. Test whether age and type of movie
preferred are independent at the 0.05 level.
Person's
Age
Movie
18-23
yr
24-29
yr
30-35
yr
Row
Total
Drama
8
12
14
34
Science Fiction
14
8
8
30
Comedy...

Mr. Acosta, a sociologist, is doing a study to see if there is a
relationship between the age of a young adult (18 to 35 years old)
and the type of movie preferred. A random sample of 93 adults
revealed the following data. Test whether age and type of movie
preferred are independent at the 0.05 level.
Person's
Age
Movie
18-23
yr
24-29
yr
30-35
yr
Row
Total
Drama
7
12
15
34
Science Fiction
14
9
7
30
Comedy...

Mr. Acosta, a sociologist, is doing a study to see if there is a
relationship between the age of a young adult (18 to 35 years old)
and the type of movie preferred. A random sample of 93 adults
revealed the following data. Test whether age and type of movie
preferred are independent at the 0.05 level.
Person's
Age
Movie
18-23
yr
24-29
yr
30-35
yr
Row
Total
Drama
6
14
14
34
Science Fiction
12
9
9
30
Comedy...

Mr. Acosta, a sociologist, is doing a study to see if there is a
relationship between the age of a young adult (18 to 35 years old)
and the type of movie preferred. A random sample of 93 adults
revealed the following data. Test whether age and type of movie
preferred are independent at the 0.05 level.
Person's
Age
Movie
18-23
yr
24-29
yr
30-35
yr
Row
Total
Drama
7
16
11
34
Science Fiction
11
12
7
30
Comedy...

Mr. Acosta, a sociologist, is doing a study to see if there is a
relationship between the age of a young adult (18 to 35 years old)
and the type of movie preferred. A random sample of 93 adults
revealed the following data. Test whether age and type of movie
preferred are independent at the 0.05 level.
Person's
Age
Movie
18-23
yr
24-29
yr
30-35
yr
Row
Total
Drama
9
12
13
34
Science Fiction
14
11
5
30
Comedy...

Mr. Acosta, a sociologist, is doing a study to see if there is a
relationship between the age of a young adult (18 to 35 years old)
and the type of movie preferred. A random sample of 93 adults
revealed the following data. Test whether age and type of movie
preferred are independent at the 0.05 level.
Person's
Age
Movie
18-23
yr
24-29
yr
30-35
yr
Row
Total
Drama
9
15
10
34
Science Fiction
9
10
11
30
Comedy...

A sociologist is studying the age of the population in Blue
Valley. Ten years ago, the population was such that 19% were under
20 years old, 14% were in the 20- to 35-year-old bracket, 29% were
between 36 and 50, 24% were between 51 and 65, and 14% were over
65. A study done this year used a random sample of 210 residents.
This sample is given below. At the 0.01 level of significance, has
the age distribution of the...

A sociologist is studying the age of the population in Blue
Valley. Ten years ago, the population was such that 20% were under
20 years old, 10% were in the 20- to 35-year-old bracket, 32% were
between 36 and 50, 24% were between 51 and 65, and 14% were over
65. A study done this year used a random sample of 210 residents.
This sample is given below. At the 0.01 level of significance, has
the age distribution of the...

A sociologist is studying the age of the population in Blue
Valley. Ten years ago, the population was such that 19% were under
20 years old, 13% were in the 20- to 35-year-old bracket, 32% were
between 36 and 50, 24% were between 51 and 65, and 12% were over
65. A study done this year used a random sample of 210 residents.
This sample is given below. At the 0.01 level of significance, has
the age distribution of the...

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