Question

This question refers to a sweepstakes promotion in which respondents were asked to select what color car they would like to receive if they had the winning number. For a random sample of respondents the choices were 24 blue (B), 34 green(G), 66 red(R), and 36 white(W). Test at the 0.05 level the claim that the population prefers each colour equally. The expected value of chi-square (the test statistics) is

Select one:

a. 7.815

b. 24.600

c. 0

d. 22.412

e. 9.488

Question 2

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Question text

To test whether GENDER (male and female) and NUMBER OF ABSENCES are related, we use the following table.

Assume that the sample data are randomly selected. The null hypothesis for this test is

Select one:

a. p_{male} = p_{female}

b. GENDER and NUMBER OF ABSENCES are related

c. p_0 =0.40, p_{1-2} = 0.30, p_{3-5} = 0.20, p_{6+} = 0.10

d. p_0 = p_{1-2} = p_{3-5} = p_{6+} = 1/4

e. GENDER and NUMBER OF ABSENCES are independent

Answer 1

1)the necessary calculation table be:-

colour	observed frequency(Oi)	expected frequency(Ei)
blue	24	160/4 = 40	(24-40)^2/40=6.4
green	34	40	0.9
red	66	40	16.9
white	36	40	0.4
	sum = 160		sum=24.6

the test statistic be:-

2).the null hypothesis be:-

GENDER and NUMBER OF ABSENCES are independent (e)

[ the alternative hypothesis be , gender and number of absences are dependent]

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