QUESTION 5 5 points Save Answer It is hypothesized that the population mean inco

Question

QUESTION 5 5 points Save Answer It is hypothesized that the population mean income for nurses is $72,500. A sample of 144 reveals a mean of $71,500 with a sample standard deviation of $4,500. Conducting a hypothesis test at the significance level of 0.05 which statement is true? a. The salary of $71,500 is statistically different from $72,500 at a significance of 0.05 because the p-value is.0038. Ob.We should not reject the null hypothesis. . The sample salary of $71,500 is not statistically different from $72,500 at a significance of 0.05 Od. The salary of $71,500 is statistically different from $72,500 at a significance of 0.05 because the p-value is.0076

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
? : Mean of population
H0 : ? = 72500
HA : ? ? 72500
Standard deviation = 4500

Hypothesis test results:

Hence,

Option D is correct.

Mean n Sample Mean Std. Err. Z-Stat P-value ? 144 71500 375 -2.6666667 0.0076

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