What is next step in solving this equation 32x+2=40

In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 307 ord

klemol [59]

Answer:

We conclude that the rate of inaccurate orders is greater than 10%.

Step-by-step explanation:

We are given that in a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 307 orders observed.

Let p = population proportion rate of inaccurate orders

So, Null Hypothesis, $H_0$ : p $\leq$ 10% {means that the rate of inaccurate orders is less than or equal to 10%}

Alternate Hypothesis, $H_A$ : p > 10% {means that the rate of inaccurate orders is greater than 10%}

The test statistics that will be used here is One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of inaccurate orders = $\frac{40}{307}$ = 0.13

n = sample of orders = 307

So, the test statistics = $\frac{0.13-0.10}{\sqrt{\frac{0.10(1-0.10)}{307} } }$

= 1.75

The value of z-test statistics is 1.75.

Also, the P-value of the test statistics is given by;

P-value = P(Z > 1.75) = 1 - P(Z $\leq$ 1.75)

= 1 - 0.95994 = 0.04006

Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 1.75 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the rate of inaccurate orders is greater than 10%.

8 0

3 years ago

Question 12(Multiple Choice Worth 5 points)

zubka84 [21]

where is the figure? I can't see it

8 0

2 years ago

Simplify. (Note: x ≠ 0)

mihalych1998 [28]

I think the answer is D! Hope This Helps!

4 0

3 years ago

Read 2 more answers

A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, t

STatiana [176]

Answer:

S(t) = 2 - 0.25*t

Step-by-step explanation:

A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months.

When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate.

S(t) denote the ice sheet's thickness S ( measured in meters) as a function of time (measured in weeks).

Therefore the equation formed will be linear.

The equation will be of the form y = mx + b

Here S(t) = mt + b

Here m is the slope which is the rate at which ice is melting.

Putting t = 0

S(t) = 2

Putting t = 3,

S(t) = 1.25

Therefore, m*0 + b = 2 or, b = 2

and 3m + b = 1.25

or, 3m = 1.25 - 2 = -0.75

or, t = -0.25

Hence, function's formula = S(t) = -0.25*t + 2

i.e. S(t) = 2 - 0.25*t

5 0

3 years ago

8. By one estimate, 3% of all Siberian Husky puppies are born with two different

suter [353]

Answer:

C

Step-by-step explanation:

Mux= np

sigmax= $\sqrt{np(1-p)\\$

Mean = 50(.65)

Standard Deviation = $\sqrt{1.5(1-.03)}$

8 0

3 years ago