Am I correct? I really need help

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

2 years ago

Jayden buys a game for $10.67 and some batteries for $5.14 he pays with a twenty dollar bill estimate how much change he should

natima [27]

Answer:

4.19

Step-by-step explanation:

If rounded to the nearest dime 4.20

nice

5 0

2 years ago

Marcus has $28 to spend. He spent $3.75 to buy a notebook. He needs to save $11.25 but he wants to buy a snack. Chips cost $1.30

Alborosie

Total money Marcus has = $28

Money spent to buy a notebook = $3.75

Money left now = $28-3.75=24.25$

Money needed to be saved = $11.25

So, the amount of money Marcus can spend = $24.25-11.25=13$

Cost of a packet of chips = $1.30

The inequality to determine the maximum number of chips he can buy is:

Let the number of chips Marcus can buy = x

As he cannot spend more than $13 to buy chips so equation becomes:

$1.30x\leq 13$

Solving this we get

$x\leq 10$

Hence, Marcus can buy a maximum of 10 packs of chips and save $11.25

4 0

2 years ago

: Xem xét 2 nhà đầu tư A và B với đường cầu về cổ phiếu như sau: Nhà đầu tư A: 2P = 300 – 2Q Nhà đầu tư B: P = 150 – 3Q a. Tại m

ycow [4]

Answer:

Step-by-step explanation:

5 0

2 years ago

Please help me for this question

rosijanka [135]

The volume of the given trapezoidal prism is 312 cubic units.

Step-by-step explanation:

Step 1:

To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.

The area of a trapezoidal surface, $A = \frac{a+b}{2} (h).$

a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.

For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.

The area of the trapezoidal surface, $A = \frac{5+8}{2} (4) = 6.5(4) = 26.$

So the area of the trapezoidal surface is 26 square units.

Step 2:

To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.

The area is 26 square units and the height of the prism is 12 units.

The volume of the prism, $V= 26(12) = 312.$

The volume of the given trapezoidal prism is 312 cubic units.

7 0

2 years ago