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Answer with explanation:</h2>
Given : In a restaurant, the proportion of people who order coffee with their dinner is p.
Sample size : n= 144
x= 120
![\hat{p}=\dfrac{x}{n}=\dfrac{120}{144}=0.83333333\approx0.8333](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7Bx%7D%7Bn%7D%3D%5Cdfrac%7B120%7D%7B144%7D%3D0.83333333%5Capprox0.8333)
The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-
Null hypothesis :
[ it takes equality (=, ≤, ≥) ]
Alternative hypothesis :
[its exactly opposite of null hypothesis]
∵Alternative hypothesis is left tailed, so the test is a left tailed test.
Test statistic : ![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
![z=\dfrac{0.83-0.85}{\sqrt{\dfrac{0.85(1-0.85)}{144}}}\\\\=-0.561232257678\approx-0.56](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.83-0.85%7D%7B%5Csqrt%7B%5Cdfrac%7B0.85%281-0.85%29%7D%7B144%7D%7D%7D%5C%5C%5C%5C%3D-0.561232257678%5Capprox-0.56)
Using z-vale table ,
Critical value for 0.05 significance ( left-tailed test)=-1.645
Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.
Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.
Answer:
yes it is a function
Step-by-step explanation:
You have to take the numbers and see if any of them are the same in the X column if their are some of the same numbers you only write the number once. than you connect the numbers to the given output. If any numbers have 2 outputs it is not a function.
Again, decimals and fractions represent all the values in between integers. Decimals are simply one step more of simplification from fractions.
The equation will be made up of the cost of x number of adult tickets at 74 each which is represented by 74x and youth tickets (an unknown number y) at 35 each which is represented by 35y. We add them together and set them equal to Cost. Cost = 74x + 35y
Answer:
What is a mod?
Step-by-step explanation: