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Inessa [10]
3 years ago
14

Help me :}

Mathematics
1 answer:
nadezda [96]3 years ago
7 0
6the answer will be b 

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In a restaurant, the proportion of people who order coffee with their dinner is p. A simple random sample of 144 patrons of the
mote1985 [20]
<h2>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

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 : H_0: p\geq0.85   [ it takes equality (=, ≤, ≥) ]

Alternative hypothesis : H_1: p  [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}}}

z=\dfrac{0.83-0.85}{\sqrt{\dfrac{0.85(1-0.85)}{144}}}\\\\=-0.561232257678\approx-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.

8 0
3 years ago
I don’t understand how to do this at all.
avanturin [10]

Answer:

2m

Step-by-step explanation:

(m+3) (m-1)

We need to FOIL

first m*m = m^2

outer -1*m  = -m

inner = 3m

last 3*-1 = -3

Add these together

m^2 -m +3m -3

m^2 +2m -3

3 0
3 years ago
Express the trig ratios as fractions in simplest terms.
Neporo4naja [7]

Answer:

See below

Step-by-step explanation:

\cos M=\frac{adjacent}{hypotenuse}=\frac{56}{70}=\frac{4}{5}\\\\\sin L=\frac{opposite}{hypotenuse}=\frac{56}{70}=\frac{4}{5}

Hence, both ratios are equal to each other

3 0
2 years ago
When a plane intersects a sphere, what two-dimensional shape describes the cross-section? ​
trasher [3.6K]

Answer:

A Circle

Step-by-step explanation:

4 0
2 years ago
Find the radius of the circle. <br><br>6(x – 3)2 + 6(y + 7)2 = 216​
Fantom [35]

Answer:

radius=6

Step-by-step explanation:

7 0
3 years ago
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