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yaroslaw [1]
3 years ago
14

Delta Flights: According to the Bureau of Transportation Statistics, 77.4% of Delta Airline’s flights arrived on time in 2010. T

he company is trying to improve on-time arrivals. They test the hypotheses H 0: p = 0.774 versus H a: p > 0.774. They calculate a P‐value of 0.03. Using a significance level of 0.05, which of the following is the best explanation for how to use the P‐value to reach a conclusion in this case? Group of answer choices Since the P‐value is less than the significance level, we reject the null hypothesis. Since the P‐value is less than the significance level, we fail to reject the null hypothesis. Since the P‐value is less than the significance level, we accept the null hypothesis.

Mathematics
1 answer:
Nata [24]3 years ago
8 0

Answer:

<h3>If the p-value is less than the significance level, we reject the null hypothesis.</h3>

Step-by-step explanation:

When we are trying to perform a <em>right-sided hypothesis test</em> (which is the case in this problem), we have a z_0 given by the significance level and a z_a given by the alternative hypothesis.

z_0 is a value such that the area under the normal curve N(0,1) is less than the level of significance, in this case 0.05, which is z_0=1.96

z_a is a value that we find (if the sample size of the data we collet to reject the null hypothesis is big enough) after computing the following formula:

z_a=\frac{\bar x -\mu}{s/\sqrt{n}}

where

\bar x is the mean of the sample

\mu is the mean established in the null hypothesis

s is the standard deviation of the sample

n is the size of the sample

If z_a falls to the right of z_0 then we reject H_0

because the area under the normal curve to the left of z_a is less than 0.05.

But the area under the normal curve to the left of z_a is precisely the p-value (see picture attached).

So, if the p-value is less than the significance level, we reject the null hypothesis.

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3.) mr. smith’s class sold wrapping paper for $3.50 each and mr. davis’ class sold magazines for $2.75 each. together, the class
igor_vitrenko [27]

Answer:

The number of wrapping paper sold was 32 and the number of magazines sold was 40

Step-by-step explanation:

Let

x ----> the number of wrapping paper sold

y ----> the number of magazines sold

we know that

The classes sold 72 items

so

x+y=72 ----> equation A

The classes earned $222 for their school

so

3.50x+2.75y=222 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is (32,40)

see the attached figure

therefore

The number of wrapping paper sold was 32 and the number of magazines sold was 40

7 0
3 years ago
Two numbers are respectively twenty percent and ten percent more than the third number. How many percent is the first number mor
Rasek [7]

Answer:

10%

Step-by-step explanation:

Let the third number is X.

then first number = (100-30)% of X

= 70% of X = 7X/10

Second number is (63X/100)

Difference = 7X/10 - 63X/100 = 7X/10

So required percentage is, difference is what percent of first number

=> (7X/100 * 10/7X * 100 )% = 10%

4 0
3 years ago
The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.
kari74 [83]

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).

5 0
3 years ago
Monthly earnings total $4513. find the social security tax deducted
Mandarinka [93]
4513 * 7.65%=
$345.24
4 0
3 years ago
Which graph does NOT represent a function?
Bas_tet [7]
C (the one that looks like a circle)
6 0
3 years ago
Read 2 more answers
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