Question 1 A business researcher is testing the following hypotheses using a 10% level of significance.?H 0 : p = .70?H a : p A fail to reject the null hypothesis. B not enough information to conduct...

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Answer To: Question 1 A business researcher is testing the following hypotheses using a 10% level of...

Robert answered on Dec 22 2021
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Quiz 1
Question 1
A business researcher is testing the following hypotheses using a 10% level of significance.
H0: p = .70
Ha: p < .70
A sample of 415 is taken and the sample proportio
n is .66. The business researcher's decision from this test is:
    A
    fail to reject the null hypothesis.
    B
    not enough information to conduct the hypothesis test.
    C
    take a larger sample.
    D
    reject the null hypothesis.
Solution:
Null Hypothesis (H0): p = .70

Alternative Hypothesis (Ha): p < .70
Test Statistics
Z = (p’ – p)/ √ p (1 – p)/n
= (0.66 – 0.70)/ √0.70*0.30/415
= -1.78
Using Z-tables, the critical value is
Z (0.10) = -1.28
Since test statistics is less than the critical value, we reject the null hypothesis.
Question 2
A study by Hewitt Associates showed that 79% of companies offer employees flexible scheduling. Suppose a researcher believes that in accounting firms this figure is lower. The researcher randomly selects 415 accounting firms and through interviews determines that 303 of these firms have flexible scheduling. With a 1% level of significance, does the test show enough evidence to conclude that a significantly lower proportion of accounting firms offer employees flexible scheduling?
The value of the test statistic rounded to 2 decimal places is z =__-3.00_____ and we
a) reject the null hypothesis
b) fail to reject the null hypothesis
The tolerance is +/- 0.05.
Solution:
Null Hypothesis (Ho): p = 0.79
Alternative Hypothesis (Ha): p < 0.79
Sample proportion, p’ = X/n = 303/415 = 0.73
Test Statistics
Z = (p’ – p)/ √ p (1 – p)/n
= (0.73 – 0.79)/ √0.79*0.21/415
= -3.00
Using Z-tables, the critical value is
Z (0.01) = -2.33
Since test statistics is less than the critical value, we reject the null hypothesis.
Question 3
A business researcher wants to compare her...
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