Question

1A) The manager of an assembly process wants to determine whether or not the number of...

1A) The manager of an assembly process wants to determine whether or not the number of defective articles manufactured depends on the day of the week the articles are produced. She collected the following information. Is there sufficient evidence to reject the hypothesis that the number of defective articles is independent of the day of the week on which they are produced? Use α = 0.05.

Day of Week M Tu W Th F
Nondefective 90 93 86 91 88
Defective 6 8 3 14 14

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(b) Find the p-value. (Give your answer bounds exactly.)
____< p < ____

1B) A sample of 200 individuals are tested for their blood type is given in the first table, and the results are used to test the hypothesized distribution of blood types. The observed results are given in the second table. At the .05 level of significance, is there sufficient evidence to show that the stated distribution is incorrect?

Blood Type A B O AB
Percent 0.43 0.09 0.42 0.06
Blood Type A B O AB
Number 74 13 84 29

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(b) Find the p-value. (Give your answer bounds exactly.)
____< p < ____

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