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Is race a factor in the number of times a month a person eats out? The table below shows data that was collected. Asian White

  1. Is race a factor in the number of times a month a person eats out? The table below shows data that was collected.

Asian

White

Black

Hispanic

10

4

1

15

7

4

10

2

13

7

11

1

8

8

7

11

6

7

11

5

13

0

2

0

13

13

13

1

11

11

Assume that all distributions are normal, the four population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of=0.05 H0:1=2=3=4H0:1=2=3=4 H1:At least two of the means differ from each other.

  1. For this study, we should useSelect an answer:

GOF-Test

2-SampTInt

2-PropZTest

2-PropZInt

T-Test

1-PropZTest

-Test

1-PropZInt

Interval

ANOVA

2-SampTTest

  1. The test-statistic for this data =_____(Please show your answer to 3 decimal places.)
  2. The p-value for this sample =_______(Please show your answer to 4 decimal places.)
  3. The p-value isSelect an answer:

less than (or equal to) alphag

greater than alpha

  1. Base on this, we shouldSelect an answer:

reject the null hypothesis

accept the null hypothesis

fail to reject the null hypothesis

  1. As such, the final conclusion is that...
    • There is sufficient evidence to support the claim that race is a factor in the number of times per month people eat out.
    • There is insufficient evidence to support the claim that race is a factor in the number of times per month people eat out.

  1. A hospital wants to determine if the type of treatment for pneumonia is a factor in recovery time? The table below shows the number of days to recovery for several randomly selected pneumonia patients that had various types of treatment.

Overnight Hospital Stay

A Few Hours in the Hospital

Sent Home With Medicine

17

24

26

10

11

24

20

10

28

7

12

19

16

25

14

5

19

25

19

14

14

6

21

8

Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of=0.01 H0:1=2=3H0:1=2=3 H1:At least two of the means differ from each other.

  1. For this study, we should useSelect an answer:

GOF-Test

-Test

2-SampTInt

ANOVA

1-PropZInt

2-SampTTest

1-PropZTest

2-PropZTest

Interval

2-PropZInt

T-Test

  1. The test-statistic for this data =_____(Please show your answer to 3 decimal places.)
  2. The p-value for this sample =________(Please show your answer to 4 decimal places.)
  3. The p-value isSelect an answer:

less than (or equal to) alpha

greater than alpha

  1. Base on this, we shouldSelect an answer:

reject the null hypothesis

accept the null hypothesis

fail to reject the null hypothesis

  1. As such, the final conclusion is that...
    • There is insufficient evidence to support the claim that treatment type is a factor in recovery time for pneumonia.
    • There is sufficient evidence to support the claim that treatment type is a factor in recovery time for pneumonia.

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