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STEP BY STEP SOLUTIONS PLEASE 4. The company executives at Company XYZ, believe

ID: 3313693 • Letter: S

Question

STEP BY STEP SOLUTIONS PLEASE

4. The company executives at Company XYZ, believe that only 40% of their 10,000 employees are extremely satisfied with their jobs and have been working to improve this value. Therefore, they just surveyed 200 employees which indicated that 90 employees were extremely happy working for Company XYZ. What is the alternative hypothesis (assuming a 2 sided test) of extremely happy employees?

a. HA: p = 0.45

b. HA: p 0.40

c. HA: p 0.45

d. HA: p 0.90

5. The company executives at Company XYZ, believe that only 40% of their 10,000 employees are extremely satisfied with their jobs and have been working to improve this value. Therefore, they just surveyed 200 employees which indicated that 90 employees were extremely happy working for Company XYZ. What is the standard deviation?

a. 0.0012

b. 0.0346

c. 0.0352

d. 0.0500

6. The company executives at Company XYZ, believe that only 40% of their 10,000 employees are extremely satisfied with their jobs and have been working to improve this value. Therefore, they just surveyed 200 employees which indicated that 90 employees were extremely happy working for Company XYZ. Based on the above z statistic (still using a two-sided alternative) what is the p-value?

a. 0.0749

b. 0.1498

c. 0.8502

d. 0.9251

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.4
HA : p 0.4

Hypothesis test results:

Hence,

4. Alternative hypothesis: HA: p 0.40

Option B is correct.

5. Standard deviation = 0.0346

Option B is correct.

6. p - Value = 0.1489

Option B is correct.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 90 200 0.45 0.034641016 1.4433757 0.1489