Answer:
Already answered your recent one of the same question
Step-by-step explanation:
Answer:
![Z_{H0} =1.79](https://tex.z-dn.net/?f=Z_%7BH0%7D%20%3D1.79)
p-value: 0.0367
Decision: Reject H₀
Step-by-step explanation:
Hello!
Hypothesis to test:
H₀:ρ₁-ρ₂=0
H₁:ρ₁-ρ₂>0
The statistic to use to test the difference between two population proportions is the approximation of Z
Z=<u> (^ρ₁-^ρ₂)-(ρ₁-ρ₂) </u> ≈N(0;1)
√ (<u>^ρ₁(1-^ρ₁))/n₁)+(^ρ₂(1-^ρ₂)/n₂))</u>
Z=<u> (0.28-0.15)-0 </u>= 1.79
√ (<u>0.28(1-0.28)/200)+(0.15(1-0.15)/300)</u>
p-value
Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).
P(Z>1.79)= 0.0367
Conclusion:
Comparing the p-value against the significance level, you can decide to reject the null hypothesis.
I hope you have a SUPER day!
Answer:
3.69 hours
Step-by-step explanation:
y = 80.25x + 78.75
y = 95.75 + 40
85.25x + 78.75 = 95.75 + 40
-85.25x -40 -85.25x -40
38.75/10.5 = 10.5x/10.5
3.690476190..... = x
rounding
3.69 = x