Question

a) true b) false 42. For a chi-square distributed random variable with 10 degrees of freedom and a level of sigpificanoe computed value of the test statistics is 16.857. This will lead us to reject the null hypothesis. a) true b) false 43. A chi-square goodness-of-fit test is always conducted as: a. a lower-tail test b. an upper-tail test d. either a lower tail or upper tail test e. a two-tail test 44. A left-tailed area in the chi-square distribution equals 0.90. For 7 degrees of freedom, the table value equals: a 1.68987 b 2.8331 c. 12.0170 d 14.0671 45. In a chi-square the chi-square test statistic will lead to rejection of the null hypothesis? a. 8.952 b, 10.78 c. 7.814 d.1761 e.0.25 46. To determine whether a single coin is fair, the coin was tossed 250 times, and heads was square goodness-of- fit test with 5 degrees of freedom and a significance level of the chi-square value from the table is 11.0705. Which of the following computed values of observed 140 times. The value of the test statistic is: a. 140 47. The sampling distribution of the test statistic for a goodness-of-fit test with k categories is: d.30 b.3.6 c.110 a. Student t distribution with k-1 degrees of freedom b. normal distribution c. chi-square distribution with k-1 degrees of freedom d. approximately chi-square distribution with k-1 degrees of freedom e. approximately chi-square distribution with k degrees of freedom 48. Consider the following ANOVA table: MS F Source of Variation S Treatments 42 200.80 Error Total 30 12 2.5 34 14 The number of treatments is: A). 13 B). 5

Answer 1

42. Degree of Freedom: 10 , Level of significance 0.025, Chi square table value : 20.4831, Computed test Static value : 16.857

On Chi square distribution , the acceptance region for null hypothesis goes to the Chi square value of 20.4831. Since the computed test Static value of 16.857 falls with the acceptance . Therefore we accept the null hypothesis.

So the answer is FALSE

43.  The chi-squared test is always a one-sided test. & it's quite possible to be dealing with the upper or lower tails of the chi-square

So the answer is D

44. By checking the Chi-square table the value for 7 degree of freedom is 2.83311

45. Degree of Freedom: 5 , Level of significance 0.05, Chi square table value : 11.0705, Computed test Static value : ?

On Chi square distribution , the acceptance region for null hypothesis goes to the Chi square value of 11.0705. If the computed test Static value falls with the acceptance, we will accept the null hypothesis otherwise reject the null hypothesis.

So the answer is 17.61 as it does not lies in acceptance region.