Distribution of data using the chi-square goodness

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Question 1

A business researcher is testing the following hypotheses using a 10% level of significance.H0: p = .70Ha: p < .70 A sample of 415 is taken and the sample proportion 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.

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 =_______ and we

a) reject the null hypothesis

 b) fail to reject the null hypothesis

The tolerance is +/- 0.05.

Question 3

A business researcher wants to compare her observed distribution of frequency data to an expected distribution of data using the chi-square goodness-of-fit test. The data are given below. The degrees of freedom for this test are:

observed

expected

12

9

20

7

38

32

24

38

18

20

11

7

 

A

10

B

4

C

6

D

5

Reference no: EM13243363

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