Which of the following conditions must be met if you want to use a z-procedure to construct a confidence interval for a population proportion? A) The sample size must be small. B) The population standard deviation must be known. C) The population must be normally distributed. D) The sample must be random and sufficiently large.

Answers

Answer 1

Answer:

To use a z-procedure to construct a confidence interval for a population proportion, the following conditions must be met:

D) The sample must be random and sufficiently large.

This means that the sample should be selected in a way that each individual has an equal chance of being included. Additionally, the sample size should be sufficiently large to ensure that the normal approximation for the sampling distribution of the sample proportion is valid.

It's important to have a random sample because it helps to ensure that the sample is representative of the population, making the results more reliable and generalizable.

As for the sample size, it should be large enough to satisfy the condition of having at least 10 successes and 10 failures. This ensures that the normal approximation can be applied.

The other answer choices, A) The sample size must be small, B) The population standard deviation must be known, and C) The population must be normally distributed, are incorrect and do not apply to the conditions for using a z-procedure to construct a confidence interval for a population proportion.

By meeting the conditions of having a random and sufficiently large sample, you can use a z-procedure to construct a confidence interval for a population proportion.Answer:

Step-by-step explanation:

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5. Factorise: p2 - 11p +30

Answers

Answer:

(p - 5)(p - 6)

Step-by-step explanation:

Given

p² - 11p + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 11)

The factors are - 5 and - 6, since

- 5 × - 6 = + 30 and - 5 - 6 = - 11 , thus

p² - 11p + 30 = (p - 5)(p - 6) ← in factored form

Answer:

(p - 5)(p - 6)

Step-by-step explanation:

p^2 - 11p + 30

find what two numbers added together is -11 but multiplies together is 30, its' -5 and -6 so:

(p - 5)(p - 6)

Under certain conditions, sound travels at approximately 1080 feet per second.If Marsala yells down a canyon and hears her echo 1.7 seconds later, approximately how deep is the canyon?

Answers

The approximate depth of the canyon was 918 feet, and she hears her echo 1.7 seconds later.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Sound travels at approximately 1080 feet per second. Hence:

Marsala hears her echo 1.7 seconds later, hence:

Total distance = 1080 * 1.7 = 1836 feet

Depth of canyon = 1836 / 2 = 918 feet

The approximate depth of the canyon was 918 feet, and she hears her echo 1.7 seconds later.

Find out more on equation at: brainly.com/question/2972832

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As Mifc8 said, one can easily do 1.7*1080=1836 feet.

Find m and b in the following equations.What do m and b represent?
a.
y= 2x +1
b. y=zx-4

Answers

Answer:

Step-

by-step explanation:

58 is 16% of what number

Answers

16% -------- 58

100% ........ x

Cross multiply

100*58 = 16x

5800 = 16x

x= 5800/16

x = 363

I hope that's help !

Find 2 integers whose product is -20

Answers

-2 * 10 or -10 * 2 could be an answer yeah?

The average performance rating of the employees at Company A is 6.5 on a scale from 1 to 10 (10 being highest). The standard deviation is 2.1 The average performance rating of the employees at Company C is 7.4. Company C has a standard deviation of 6.8. It would be better to hire a random employee from Company A. Question 2 options: