A goodness of fit test and test of independence

Assignment Help Basic Statistics

Reference no: EM1319088

1. The sampling distribution for a goodness of fit test is?

a. The Poisson distribution

b. the t distribution

c. the normal distribution

d. the chi-square distribution

e. None of the above answers is correct

2. A goodness of fit test and test of independence are always conducted as a?

a. lower-tail test

b. upper-tail test

c. either a or b

d. two-tail test

e. there isn't enough information provided to answer this question

f. None of the above answers is correct

3. The degree of freedom for a contingency table with 12 rows and 12 columns is?

a. 144

b. 12

c. 120

d. 121

e. None of the above

4. Last school year, student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification: freshmen 83, sophomores 68, juniors 85, and seniors 64. The school superintendent is interested in determine whether or not there has been a significant change in the classification between last school year and this school year. The expected number of freshmen is

a.83

b.30

c.90

d.10

e. None of the above answers is right

5. Reference student body problem statement above, which of the following is a correct statement if the hypothesis to be tested at the 5% level of significance?

a. null hypothesis should state that the classification for this school year is independent of last school year classification

b. alternative hypothesis should state that the classification for this school year is independent of last school year classification

c. null hypothesis should be p_freshmen=0.30, p_sophomores=0.24, p_juniors=0.26 , p_seniors=0.20

d. alternative hypothesis should be p_freshmen=0.30, p_sophomores=0.24, p_juniors=0.26, p_seniors=0.20

e. None of the above answers is correct

6. Reference student body problem statement above, what is the critical value(s) from the table if hypothesis to be tested at the 5% level of significance?

a. 1.645

b. 1.96

c. ±2.75

d. ±7.815

e. ±1.96

f. 7.815

g. 5.99

h. None of the above answers is correct

7. Reference student body problem statement above, what specific conclusion must be drawn if the critical value(s) from the table is (are) smaller than the test statistic calculated based on sample data?

a. there isn't enough information provided to answer this question

b. classification for this school year is independent of last school year classification

c. classification for this school year is dependent on last school year classification

d. there has been a significant change in the classification from last school year to this school year

e. there has not been a significant change in the classification from last school year to this school year

8. Reference student body problem statement above and the specific conclusion drawn (the answer to the last multiple choice question), what percentage of times the conclusion drawn is wrong conclusion?

a. there isn't enough information to answer this question

b. 100%

c. 0%

d. 50%

e. 5%

f. 95%

g. None of the above answers is correct

9. 2 can take on any value.

a. true

b. false

10. Brach Manager of NBD bank believes the distribution of random arrivals at Woodward branch is Poisson and collects data to test this hypothesis. The following data represents a distribution of frequency of arrivals during one-minute intervals at the bank.

Number of Arrivals	Observed Frequencies
0	7
1	18
2	25
3	17
4	12
≥5	5

State the appropriate null and alternative of hypotheses.

a.H₀: The frequency distribution is not Poisson

H_a:The frequency distribution is Poisson

b.H₀: The frequency distribution is Poisson

H_a: The frequency distribution is not Poisson

c.H₀: The frequency distribution is Normal

H_a: The frequency distribution is not Normal

d. None of the above answers is correct

11. Is the type if car purchased in Oakland county independent of the age of the driver? A random sample of 309 car purchases at two different new car dealerships in Oakland County is taken, resulting in the following contingency table of observed values.

	Compact	Mid-size	Luxury
21< age < 34	26	95	18
35 < age < 55	41	40	20
age > 55	24	13	32

Use = 0.01 to establish if type of car purchased in Oakland county is independent of the age. Status the null and alternative hypotheses.

a.H0: Type of car purchased in Oakland County is independent of the age of the driver Ha: Type of car purchased in Oakland county is dependent on age of the driver

b.H0: Type of car purchased in Oakland county is dependent on the age of the driver Ha: Type of car purchased in Oakland county is independent of the age of the driver

c.There is not enough information to answer this question

d.None of the above answers is right

Reference no: EM1319088

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