At=0.03=0.03, test the claim that there is no significant difference between the average salaries of registered nurses and physician assistants in Ontario. Random samples of 48 registered nurses and 52 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 thezz-distribution can be used for hypothesis testing.

Employees

Sample Meanxx

Population Std. Dev.

Sample Size

Registered Nurses

69,611

6,969

48

Physician Assistants

72,053

9,022

52

Hint: Use the test statistic formula:z=(x1x2)(12)21n1+22n2z=(x1-x2)-(1-2)12n1+22n2

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

H0H0:

Select an answer

- x

x - x

-

x -

p - p

?

=

>

H1H1:

Select an answer

-

- x

x -

p - p

x - x

?

>

=

Which one is the claim:

H0H0

H1

For parts (b), (c) use the POSITIVE sign for thezz-value and test statistic, and round your answers to 3 decimal places.

(b) What is the criticalzz-value?

(c) What is the test statistic?

(d) Is the null hypothesis rejected?

Yes

No

(e) Is the claim supported?

At 3% 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.

At 3% 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 3% 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 3% 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.

None of the above.

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