Question 12.           Directors of a company claim that 90% of the workforce supports a new shift           pattern that they have suggested. A random survey of 100 people in the        workforce finds 85 in favour of the new scheme. Test if there is a significant           difference between the survey results and the director's claim. 12.1    What

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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Question 12.

          Directors of a company claim that 90% of the workforce supports a new shift           pattern that they have suggested. A random survey of 100 people in the        workforce finds 85 in favour of the new scheme. Test if there is a significant           difference between the survey results and the director's claim.

12.1    What kind of test will you perform?

          (a) 1 sample z-test                       (b) 1 sample t-test                                            (c) 1 sample proportion t-test       (d)  2 sample t-test

12.2    State the Alternative Hypothesis 

          (a)      H1: mu < 0.9                     (b)      H1: mu > 0.9

          (c)      H1: mu  0.9                     (d)      H1: mu 0.9

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Question 12.
Directors of a company claim that 90% of the workforce supports a new shift
pattern that they have suggested. A random survey of 100 people in the
workforce finds 85 in favour of the new scheme. Test if there is a significant
difference between the survey results and the director's claim.
12.1 What kind of test will you perform?
(a) 1 sample z-test
(c) 1 sample proportion t-test
12.2 State the Alternative Hypothesis
H1: mu < 0.9
H1: mu ≤ 0.9
(a)
(C)
H1: mu > 0.9
H1: mu * 0.9
12.3 At what level of significance will you test the difference between the director's
claim and the survey results?
(a)
alpha = 0.01
(b)
alpha= 0.025
(c)
alpha = 0.05
(d) alpha = 0.975
12.4 What kind of test in terms of the tails will you perform?
Right -tailed
(b)
Left-tailed
(a)
(C)
(b) 1 sample t-test
(d) 2 sample t-test
(b)
(d)
(a)
(c)
Two-tailed
12.5 Which value(s) indicate(s) the rejection region?
(a)
1.96
(b) 1.645
(c)
1.782
12.6 If the test statistic = -1.67, referring to the rejection region and the test
statistic, what will happen to the hypotheses?
Reject HO
Do not reject HO
(b)
(d)
Reject H1
Do not reject H1
Transcribed Image Text:Question 12. Directors of a company claim that 90% of the workforce supports a new shift pattern that they have suggested. A random survey of 100 people in the workforce finds 85 in favour of the new scheme. Test if there is a significant difference between the survey results and the director's claim. 12.1 What kind of test will you perform? (a) 1 sample z-test (c) 1 sample proportion t-test 12.2 State the Alternative Hypothesis H1: mu < 0.9 H1: mu ≤ 0.9 (a) (C) H1: mu > 0.9 H1: mu * 0.9 12.3 At what level of significance will you test the difference between the director's claim and the survey results? (a) alpha = 0.01 (b) alpha= 0.025 (c) alpha = 0.05 (d) alpha = 0.975 12.4 What kind of test in terms of the tails will you perform? Right -tailed (b) Left-tailed (a) (C) (b) 1 sample t-test (d) 2 sample t-test (b) (d) (a) (c) Two-tailed 12.5 Which value(s) indicate(s) the rejection region? (a) 1.96 (b) 1.645 (c) 1.782 12.6 If the test statistic = -1.67, referring to the rejection region and the test statistic, what will happen to the hypotheses? Reject HO Do not reject HO (b) (d) Reject H1 Do not reject H1
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