I need help with 4, 5 and 6 ### Night OwlsA MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual proportion of MSU students who regularly sleep less than 8 hours each night is **less than** the value reported by the MSU psychologist. She randomly selects 215 students and asks them, “Do you regularly sleep less than 8 hours each night?” She finds that 77 of the 215 students answered “yes” to the question.1. **Which one of the following statements about the number 40% is correct?** - A. It is a sample statistic. - B. It is a standard error. - C. It is a margin of error. - D. It is a claimed parameter.2. **Choose the null and alternative hypotheses Cindy should use to test her theory.** - A. $ H_0 : p = 0.4, \ H_A : p \neq 0.4 $ - B. $ H_0 : p = 0.4, \ H_A : p < 0.4 $ - C. $ H_0 : p = 0.4, \ H_A : \hat{p} < 0.36 $ - D. $ H_0 : p = 0.4, \ H_A : \hat{p} > 0.4 $3. **If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test?** - A. 28 - B. 10 - C. None of the above - D. 20 - E. 77 - F. 26 ### Calculating Test Statistics and p-value4. **Calculate the test statistic.**\[z = \_\_\_\_\_\]5. **Calculate the p-value.**\[p = \_\_\_\_\_\]6. **Which of the following describes the probability represented by the p-value for this test?**- **A.** It is the probability that any random sample of 215 MSU students would have 35.81% saying they regularly sleep less than 8 hours a day.- **B.** It is the probability that a random sample of 215 MSU students would result in 35.81% or fewer who regularly sleep less than 8 hours a day, assuming the null model is valid.- **C.** It is the probability that 40% of all MSU students regularly sleep less than 8 hours a day, assuming the null model is valid.- **D.** It is the probability that less than 40% of MSU students regularly sleep less than 8 hours a day if, in fact, 35.81% actually do.- **E.** None of the above.**Explanation:**- **Test Statistic (z):** This is a value calculated from the sample data that is used to decide whether to reject the null hypothesis. It measures the number of standard deviations the sample proportion is from the null hypothesis population proportion.- **p-value:** This represents the probability of obtaining a test statistic at least as extreme as the one computed, assuming the null hypothesis is true. It helps in assessing the significance of the results.**Choosing the Correct p-value Interpretation:**Option B is typically the correct choice, as it deals with the probability of observing a sample statistic as extreme as the one observed, under the assumption that the null hypothesis is true. **Graphical and Diagram Details:**In this context, the text does not provide any graphs or diagrams. However, if there were a graph, it might typically show a normal distribution curve illustrating the test statistic’s placement on the curve and the area under the curve corresponding to the p-value.

The random variable time follows normal distribution. The population proportion is 40%. We have to…

Night Owls - A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 215 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 77 of the 215 students answered "yes" to the question. 1. Which one of the following statements about the number 40% is correct? OA. It is a sample statistic. OB. It is a standard error. OC. It is a margin of error. OD. It is a claimed parameter. 2. Choose the null and alternative hypotheses Cindy should use to test her theory. OA. Họ : p = 0.4, HA : P + 0.4 ов. Но : р3 0.4, НА : р<0.4 ос. Но : р%3D0.4, На : р<0.36 OD. Ho : р%3 0.4, НА : р> 0.4 3. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? OA. 28 ов. 10 OC. None of the above OD. 20 OE. 77 OF. 26

Night Owls - A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 215 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 77 of the 215 students answered "yes" to the question. 1. Which one of the following statements about the number 40% is correct? OA. It is a sample statistic. OB. It is a standard error. OC. It is a margin of error. OD. It is a claimed parameter. 2. Choose the null and alternative hypotheses Cindy should use to test her theory. OA. Họ : p = 0.4, HA : P + 0.4 ов. Но : р3 0.4, НА : р<0.4 ос. Но : р%3D0.4, На : р<0.36 OD. Ho : р%3 0.4, НА : р> 0.4 3. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? OA. 28 ов. 10 OC. None of the above OD. 20 OE. 77 OF. 26

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Your boss wants you to determine how many more people can get license plates if they make the plates…

Q: Suppose that I want to purchase a tablet computer . I can choose either a large,medium or small…

Q: Brayden has a set of five cube-shaped nesting boxes where each box fits inside the next larger box.…

Q: What is the same space for a family with 3 children?

A: Given that A family with 3 children Children=(B,G) B=boy G=girl Find the sample space for family…

Q: what is 9-9

Q: Find the number of ways to divide 20 people into Group A (8 people), Group B (7 people) and Group C…

Q: Find the mode for the following variables 22,2,4,3,22,22,4,8,9,3,22,22

A: Given the observations: 22, 2, 4, 3, 22, 22, 4, 8, 9, 3, 22, 22 The mode is the value that appears…

Q: What is the LCM of 36 and 3?

Q: 1. 8x+9-6x-7 2. 2y-6+5y+9 3. 3x+8+4x-9 4. 9y+16-12y+24 5. 7g-5-8g+12

A: Given that

Q: Find a . b. a = (5, -5, 2), b =(3, 4, -1)

A: The dot product of a=a1, a2, a3 and b=b1, b2, b3 is: a·b=a1b1+ a2b2+ a3b3

Q: (LCM)of 5 and 2

A: Refer to the question we have to evaluate the LCM of 5 and 2,

Q: r5 xVx + 4dx x+4dx

Q: How many ways can the 9 drummers of a marching band be split into 2 rows of 6 and 3 if order within…

A: Given, There are 9 drummers We have to split into 2 rows of 6 and 3 So,

Q: 6) 5 Vx3у13 4xy 8y10 +

A: Consider the given expression:

Q: Simplify. 3x-1-2y-1 9x-2 - 4y-2 3x-2y-1 9x2 - 4y - 1 -2

Q: Evaluate. 417! 315! Simplify your answer as much as possible.

A: In general denotation, the factorial term, n! implies the product of all non-negative integer values…

Q: Think of the image to the right as a bunch of Skittles candy. iPhone is ready to launch a new way to…

A: Given Information: Total number of candies = 12 ( 2 each colour) Number of candies to be selected…

Q: find the decisative 8x*+ 8X +4

Q: If Snow White polishes the diamonds that the seven dwarves mine and bring home, she gets to keep 1/8…

Q: m²+3m+2 m²+5m+6 m²+5m+4 m²+10m+24

Q: what is 23 divided 3

A: Terms in division: Dividend = The number being divided Divisor = Number that will divide the…

Q: Imagine you can't remember the license plate of your car, but you know it starts with the letters RE…

A: The license plate contains 3 letters followed by 3 digits.

Question

I need help with 4, 5 and 6

### Night Owls

A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual proportion of MSU students who regularly sleep less than 8 hours each night is **less than** the value reported by the MSU psychologist. She randomly selects 215 students and asks them, “Do you regularly sleep less than 8 hours each night?” She finds that 77 of the 215 students answered “yes” to the question.

1. **Which one of the following statements about the number 40% is correct?**

- A. It is a sample statistic.
- B. It is a standard error.
- C. It is a margin of error.
- D. It is a claimed parameter.

2. **Choose the null and alternative hypotheses Cindy should use to test her theory.**

- A. $ H_0 : p = 0.4, \ H_A : p \neq 0.4 $
- B. $ H_0 : p = 0.4, \ H_A : p < 0.4 $
- C. $ H_0 : p = 0.4, \ H_A : \hat{p} < 0.36 $
- D. $ H_0 : p = 0.4, \ H_A : \hat{p} > 0.4 $

3. **If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test?**

- A. 28
- B. 10
- C. None of the above
- D. 20
- E. 77
- F. 26

### Calculating Test Statistics and p-value

4. **Calculate the test statistic.**

\[
z = \_\_\_\_\_
\]

5. **Calculate the p-value.**

\[
p = \_\_\_\_\_
\]

6. **Which of the following describes the probability represented by the p-value for this test?**

- **A.** It is the probability that any random sample of 215 MSU students would have 35.81% saying they regularly sleep less than 8 hours a day.
- **B.** It is the probability that a random sample of 215 MSU students would result in 35.81% or fewer who regularly sleep less than 8 hours a day, assuming the null model is valid.
- **C.** It is the probability that 40% of all MSU students regularly sleep less than 8 hours a day, assuming the null model is valid.
- **D.** It is the probability that less than 40% of MSU students regularly sleep less than 8 hours a day if, in fact, 35.81% actually do.
- **E.** None of the above.

**Explanation:**

- **Test Statistic (z):** This is a value calculated from the sample data that is used to decide whether to reject the null hypothesis. It measures the number of standard deviations the sample proportion is from the null hypothesis population proportion.
- **p-value:** This represents the probability of obtaining a test statistic at least as extreme as the one computed, assuming the null hypothesis is true. It helps in assessing the significance of the results.

**Choosing the Correct p-value Interpretation:**

Option B is typically the correct choice, as it deals with the probability of observing a sample statistic as extreme as the one observed, under the assumption that the null hypothesis is true.

**Graphical and Diagram Details:**

In this context, the text does not provide any graphs or diagrams. However, if there were a graph, it might typically show a normal distribution curve illustrating the test statistic’s placement on the curve and the area under the curve corresponding to the p-value.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2: (4)

Step 3: (5)

Step 4: (6)

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Anova and Design of Experiments$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Find the LCD of 1 4x²y³ and 7 6x²y³z6
-3 -1 6 -7 1 5) -2 3 2,
What is PEMDAS?
2 5x 5x 4.
what is 5-1
The number of words of 3 consonants and 2 vowels can be made from 7 consonants and 4 vowels, if all the letters are different is
2. 8x1 + 2x, - 2x3 = -2 10x1 + 2x, + 4x3 = 4 12x1 + 2x2 + 2x3 = 6
Please number 4.
Find the mode for the following variables 2,12,5,8,5,12,6,3,6,12,12
C(11,8)=
[5thitem]
I need help answering part b and c