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larisa [96]
3 years ago
15

Chicken Delight claims that 87% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 80 or

ders revealed that 61 were delivered within the promised time. At the 0.10 significance level, can we conclude that less than 87% of the orders are delivered in less than 10 minutes?
a.What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)b.Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round the intermediate values and final answer to 2 decimal places.)c.What is your decision regarding the null hypothesis?
Mathematics
1 answer:
jeka57 [31]3 years ago
6 0

Answer:

There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.

Decision rule: Reject the null hypothesis if (P-value < level of significance)

Test statistic z=-2.70

Decision: Reject the null hypothesis (0.003<0.010)

Step-by-step explanation:

In this question we have to test an hypothesis.

The null and alternative hypothesis are:

H_0: \pi\geq0.87\\\\H_a:\pi

The significance level is assumed to be 0.01.

The sample of size n=80 gives a proportion of p=61/80=0.7625.

The standard deviation is:

\sigma=\sqrt{\frac{\pi(1-\pi)}{N} }=\sqrt{\frac{0.87*0.13}{80} }=0.0376

The statistic z is then

z=\frac{p-\pi+0.5/N}{\sigma}=\frac{0.7625-0.87+0.5/80}{0.0376} } =\frac{-10125}{0.0376} =-2.70

The P-value is

P(z

The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.

There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.

Decision rule: Reject the null hypothesis if (P-value < level of significance)

Test statistic z=-2.70

Decision: Reject the null hypothesis (0.003<0.010)

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Answer:

2/3 lbs

Step-by-step explanation:

2 divided by 3=2/3=2/3

Happy learning!

6 0
3 years ago
Vanna is saving for a trip. The hotel room will be $298.17 for 3 nights, and there will be additional fees. What is her daily co
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Answer:

The daily cost is $99.39.

Step-by-step explanation:

In order to find the answer with the information provided, you have to divide the price given for 3 nights by the number of nights to determine the price per night which would be her daily cost:

$298.17/3=$99.39

According to this, the answer is that the daily cost is $99.39.

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2 years ago
For the pair of points, find the slope of the line that passes through both points.
ser-zykov [4K]
5-1/7-1
4/6
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6 0
3 years ago
please help :{ brainliest if you can get it right and I need you to prove why your answer is correct, thanksss​
beks73 [17]

Answer:

The Value of a=\frac{15}{4}.

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

sin\ \theta = \frac{opposite\ side}{Hypotenuse}

sin \ S= \frac{PQ}{QS}

Substituting the given values we get;

sin\ 30\°=\frac{x}{15}

Now we know that;

sin\ 30\° = \frac12

So we can say that;

\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\

Cos\ Q = \frac{QR}{PQ}

Substituting the given values we get;

cos 60\°= \frac{a}{x}

Now we know that;

cos 60\°= \frac12

x=\frac{15}{2}

So substituting the values we get;

\frac{1}{2}=\frac{a}{\frac{15}{2}}

By Using Cross Multiplication we get;

a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}

Hence The Value of a=\frac{15}{4}.

6 0
3 years ago
Use basic identities to simplify the expression.<br> cos θ - cos θ sin2θ
Fynjy0 [20]
Cos Ф - cos Ф.sin² Ф

sin² Ф = 1 - cos² Ф
cos Ф -  cos Ф( 1-cos² Ф) = cos Ф - cos Ф  - cos³ Ф = cos³ Ф

cos Ф - cos Ф.sin² Ф = cos³ Ф
7 0
3 years ago
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