In the past, 44% of those taking a public accounting qualifying exam have passed the exam on their first try. Latterly, the availability of exam preparation books and tutoring sessions may have improved the likelihood of an individual’s passing on his first try. In a sample of 250 recent applicants, 130 passed on their first attempt. At the 0.05 level of significance, what is the calculated value of test statistic? (Specify your answer to the 2nd decimal.)

Answers

Answer 1

Answer:

Answer:

The calculated value of test statistic is z=2.48.

This has a P-value of P=0.00657.

If we state the null hypothesis $H_0: \pi\leq0.44$ at a significance level of $\alpha=0.05$ , we would reject this null hypothesis as $P-value<\alpha$ .

Step-by-step explanation:

We have in this problem, a hypothesis test of proportions.

The test statistic for this is the z-value, and is calculated like that:

$z=(p-\pi-0.5/N)/(\sigma)$

Where the term 0.5/N is the correction for continuity and is negative in the cases that p>π.

p: proportion of the sample; π: proportion of the population; σ: standard deviation of the population.

The standard deviation of the population has to be calculated as:

$\sigma=\sqrt{(\pi(1-\pi))/(N) } =\sqrt{(0.44(1-0.44))/(250) }=√(0.0009856)=0.0314$

The proportion of the sample (p) is $p=130/250=0.52$ .

Then, the test statistic z is

$z=(p-\pi-0.5/N)/(\sigma)=(0.52-0.44-0.5/250)/(0.0314) =(0.078)/(0.0314) =2.48$

The P-value of this statistic is P(z>2.48)=0.00657

If we state the null hypothesis $H_0: \pi\leq0.44$ at a significance level of $\alpha=0.05$ , we would reject this null hypothesis as $P-value<\alpha$ .

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Norma and Jane go to the store to buy stocking stuffers. Norma spends $8 more than Jane. Total, Norma and Jane spend $52. How much did each girl spend?

Answers

Answer:

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Add (do not round): 10.6 + 6 + 2.09 =

Help please

Answers

The sum of 10.6, 6, and 2.09 is 18.69. The question asks to add the following numbers: 10.6, 6, and 2.09. Adding them together, you simply line up the decimal points and add each column from right to left.

Step 1: Add the numbers in the hundredths place: there are no hundredths in 10.6 or in 6, and there are 9 hundredths in 2.09. So, we simply write down .09.

Step 2: Add the numbers in the tenths place: there are 6 tenths in 10.6, no tenths in 6, and no tenths in 2.09. Combined, we have .60.

Step 3: Add the numbers in the ones place: there are 0 ones in 10.6, 6 ones in 6, and 2 ones in 2.09. Combined, we have 8.0.

Step 4: Add the tens place: there is 1 ten in 10.6, no tens in 6, and no tens in 2.09. We write down 10.

Finally, adding these components together (0.09+,60+8.0+10) we get the total of 18.69.

Learn more about Addition here:

brainly.com/question/29560851

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Answer:

18.69

Step-by-step explanation:

Hey can you please help me posted picture of question

Answers

Vertical stretching a function means multiplying it by a constant.

So, vertical stretching of F(x) by a factor of 7 will be equal to 7 F(x).

Thus,

G(x) = 7 F(x)

G(x) = 7x²

So, option C gives the correct answer

A function is described by the following ordered pairs: (7, 4.5) (–4, 7.2) (–7.2, –4) (5.2, 3) Which set of ordered pairs represents the inverse of the function? (7, –4), (–7.2, –4), (3, 5.2), (4.5, –4) (7, –4), (–7.2, 5.2), (4.5, 7.2), (–4, 3) (4.5, 7), (7.2, –4), (–4, –7.2), (3, 5.2) (7, 4.5), (–4, 7.2), (–7.2, –4), (5.2, 3)

Answers

Answer: (4,5,7) ,(7.2,-4),(-4,-7.2),(3,5.2)

Step-by-step explanation:

Answer:

it's C

Step-by-step explanation:

At the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to the Shawarma Mediterranean Grill. Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95. Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91. What is the cost of a chicken shawarma wrap? What is the cost of one order of spiced potatoes? If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

Answers

Answer:

a) What is the cost of a chicken shawarma wrap?

$10.99

b) What is the cost of one order of spiced potatoes?

$4.99

c) If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

3x + 2y = $42.95 .............Equation 1

5x + 4y = $74.91 ................Equation 2

Step-by-step explanation:

Let x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes,

Cost of a chicken sharwarma wrap = x

Cost of an order of spiced potatoes = y

Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.

3x + 2y = $42.95 .............Equation 1

Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.

5x + 4y = $74.91 ................Equation 2

Hence, the Equations needed to solve the question is:

3x + 2y = $42.95 .............Equation 1

5x + 4y = $74.91 ................Equation 2

We use Elimination method to solve for this.

Multiply Equation 1 by coefficient of x in Equation 2

Equation 2 by coefficient of x in Equation 1

3x + 2y = $42.95 .............Equation 1 × 5

5x + 4y = $74.91 ................Equation 2 × 3

15x + 10y = 214.75..............Equation 3

15x + 12y = 224.73..............Equation 4

Subtract Equation 3 from Equation 4

2y = 9.98

y = 9.98/2

y = 4.99

Therefore, y = Cost of an order of spiced potatoes = $4.99

Subtitute 4.99 for y in Equation 1

3x + 2y = $42.95 .............Equation 1

3x +2(4.99) = 42.95

3x + 9.98 = 42.95

3x = 42.95 - 9.98

3x = 32.97

x = 32.97/3

x = 10.99

x = Cost of a chicken sharwarma wrap = $10.99

Therefore,

The cost of a chicken sharwarma wrap = $10.99

The cost of an order of spiced potatoes = $4.99

Mark's football team has scored about 24 points each game. They played 12 games this season.What is the best estimate for the total number of points they scored in the season?

Answers

Answer:

Step-by-step explanation:

well you could add 24+12 which equals 36

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