At

=

0.01

=

0.01

, test the claim that there is no significant difference between the average salaries of registered nurses and physician assistants in Ontario. Random samples of 36 registered nurses and 41 physician assistants have been selected across the province. The following table contains means for both samples. We also assume that the variability of these numbers didn't change since the last time the study was conducted and the population standard deviations are still available. Assume that thez

z

-distribution can be used for hypothesis testing.

EmployeesSample Mean

x

x

Population Std. Dev.

Sample SizeIn-House69,5435,38636Consultants73,0088,54341

Hint: Use the test statistic formula:z

=

(

x

1

x

2

)

(

1

2

)

2

1

n

1

+

2

2

n

2

z

=

(

x

1

-

x

2

)

-

(

1

-

2

)

1

2

n

1

+

2

2

n

2

(a) State the null and alternative hypotheses, and identify which one is the claim.

H

0

H

0

:Select an answerp - p - x - x - xx - ?=><

H

1

H

1

:Select an answerx - x - xx - - p - p?=<>

Which one is the claim:

• H
• 1
• H
• 1
• H
• 0
• H
• 0

For parts (b), (c) use the POSITIVE sign for thez

z

-value and test statistic, and round your answers to 3 decimal places.

(b) What is the criticalz

z

-value?

(c) What is the test statistic?

• (d) Is the null hypothesis rejected?No
• Yes

• (e) Is the claim supported?At 1% significance level, there is sufficient evidence to warrant rejection of the original claim. It can not be concluded that there is a difference between the average salaries of nurses and physician assistants.
• At 1% significance level, there is not sufficient evidence to warrant rejection of the original claim. It can not be concluded that there is a significant difference between the average salaries of nurses and physician assistants.
• At 1% significance level, there is not sufficient evidence to warrant rejection of the original claim. There is a difference between the average salaries of nurses and physician assistants.
• At 1% significance level, there is sufficient evidence to warrant rejection of the original claim. It can be concluded that there is a significant difference between the average salaries of nurses and physician assistants.
• None of the above.