Answer:
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!
If the lines cross, there is a solution , which means that there is a y and x value which satisfies both equations.
since both the equations start with x+y they shoulddd have the same answer if they had crossed. we can tell straight away these lines do not cross because 6=/=4 6 doesnt equal 4. therefore no solution.
TIP: for the future, if they had crossed, you can use simultaneous equations to find x and y to see if they work in each equation and find a solution ( since they are straight lines there will only be 1 solution, unless they are literally the same line in which case then then they are ALWAYS on top of each other and always have the same values)
Answer:
FALSE
Step-by-step explanation:
Recall that a function f(x) is of exponential order c, if there exists a constant M such that and a real r such that
Now, take a = 2.5 and b = 2
The functions
are both exponential of order 1, since
but a>b
<h2>
Answer:</h2><h2>1970</h2><h2 /><h2>Hope this helps!!</h2>
Answer:
1/4-inch
Step-by-step explanation:
