Chi-square goodness-of-fit test for analysis

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Reference no: EM13243369

Question 1

A business researcher wants to compare her observed distribution of frequency data to an expected distribution of data using the chi-square goodness-of-fit test. The data are given below. The observed chi-square value for this test is:

observed

expected

12

9

20

7

38

32

24

38

18

20

11

7

A

34.73

B

41.46

C

47.63

D

33.9

Question 2

A researcher wants to test the following observed distribution of values to determine if the values are uniformly distributed. The researcher is using the chi-square goodness-of-fit test for this analysis.

213, 219, 209, 210, 216, 199, 217, 213

For α = .10, the researcher's decision is to:

A

reject the null hypothesis that the observed distribution is not uniform.

B

fail to reject the null hypothesis that the observed distribution is not uniform.

C

reject the null hypothesis that the observed distribution is uniform.

D

fail to reject the null hypothesis that the observed distribution is uniform.

Question 3

The following percentages come from a national survey of the ages of prerecorded-music shoppers. A local survey produced the observed values. Does the evidence in the observed data indicate that we should reject the national survey distribution for local prerecorded-music shoppers? Use  

Find the observed value of chi-square. Round the answer to 2 decimal places.

Age

Precent from Survey

 fo

10-14

9

22

15-19

23

50

20-24

22

43

25-29

14

29

30-34

10

19

≤  35

22

49

The observed x (squared) =

There is

a) enough

 b) not enough evidence to declare that the distribution of observed frequencies is different from the distribution of expected frequencies.

The tolerance is +/- 0.05.

Reference no: EM13243369

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