### Hypothesis Testing: Finding and Interpreting the p-valueIn a test of the hypothesis \( H_0: \mu = 46 \) versus \( H_a: \mu > 46 \), a sample of \( n = 100 \) observations possessed a mean \( \bar{x} = 45.3 \) and standard deviation \( s = 5.2 \). Find and interpret the p-value for this test.#### **Calculating the p-value**The p-value for this test is \_\_\_\_ . (**Round to three decimal places as needed.**)#### **Interpreting the Result**Select the correct choice below and fill in the answer box to complete your choice. (**Round to three decimal places as needed.**)A. The probability (assuming that \( H_a \) is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is \_\_\_\_ .B. The probability (assuming that \( H_0 \) is true) of observing a value of the test statistic that is equal to the null hypothesis is \_\_\_\_ .C. The probability (assuming that \( H_0 \) is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is \_\_\_\_ .**Instructions:**1. Fill in the p-value in the space provided.2. Select the correct interpretation of the p-value from options A, B, or C and fill in the corresponding answer box.#### **Note:** - Ensure values are rounded to three decimal places.- This practice exercise focuses on understanding the significance of the p-value in hypothesis testing, helping clarify its interpretation in statistical inference.

Name: ### Hypothesis Testing: Finding and Interpreting the p-valueIn a test
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### Hypothesis Testing: Finding and Interpreting the p-valueIn a test of the hypothesis \( H_0: \mu = 46 \) versus \( H_a: \mu > 46 \), a sample of \( n = 100 \) observations possessed a mean \( \bar{x} = 45.3 \) and standard deviation \( s = 5.2 \)

Concept of p-value: The p-value in hypothesis testing is the probability of obtaining a test…

Math

Statistics

In a test of the hypothesis Ho:µ= 46 versus H3: µ> 46, a sample of n = 100 observations possessed mean x = 45.3 and standard deviation s = 5.2. Find and interpret the p-value for this test. The p-value for this test is. (Round to three decimal places as needed.) Interpret the result. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The probability (assuming that H, is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is O B. The probability (assuming that Ho is true) of observing a value of the test statistic that is equal to the null hypothesis is O C. The probability (assuming that Ho is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is

In a test of the hypothesis Ho:µ= 46 versus H3: µ> 46, a sample of n = 100 observations possessed mean x = 45.3 and standard deviation s = 5.2. Find and interpret the p-value for this test. The p-value for this test is. (Round to three decimal places as needed.) Interpret the result. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The probability (assuming that H, is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is O B. The probability (assuming that Ho is true) of observing a value of the test statistic that is equal to the null hypothesis is O C. The probability (assuming that Ho is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is

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

Similar questions

Currently patrons at the library speak at an average of 69 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 41 people speaking at the library. Their average decibel level was 67 and their standard deviation was 5. What can be concluded at the the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v| Select an answer v H1: ? v Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean has significantly decreased from 69 at a = 0.01, so there is statistically significant evidence to conclude that the population mean decibel…
Currently patrons at the library speak at an average of 66 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 66 people speaking at the library. Their average decibel level was 63.2 and their standard deviation was 18. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answer v Hị: Select an answer c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... | the null hypothesis. OThe data suggest that the population mean decibal level has not significantly decreased from 66 at a = 0.10, so there is statistically insignificant evidence to conclude that the…
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
The mean number of eggs per person eaten in the United States is 223. Do college students eat a different number of eggs than the average American? The 51 college students surveyed averaged 237 eggs per person and their standard deviation was 39.3. What can be concluded at the a = 0.01 level of significance? %3D a. For this study, we should use Select an answer b. The null and altemative hypotheses would be: H 2 Select an answer v H 2vSelect an answer v c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is | ? v a f. Based on this, we should Select an answer V the null hypothesis. g. Thus, the final conclusion is that... O The data suggest that the populaton mean is significantly different from 223 at a = 0.01, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 223. Toctor O The data…
Consider a set of data in which the sample mean is 27 and the sample standard deviation is 6.2. Calculate the z-score given that x = 28.5. Round your answer to two decimal places. An
Consider a set of data in which the sample mean is 30.230.2 and the sample standard deviation is 7.87.8. Calculate the z-score given that x=31.4x=31.4. Round your answer to two decimal places.
Aims and objectives of gender pay gap report writing in uk
You are conducting an experiment to examine the anxiety level of a group of Design Technology students. The population standard deviation o=4.8. You compute the mean and standard deviation of your sample and find that sample mean = 25.9 and sample standard deviation s = 5.3. What is the standard error of the sample mean if your sample size is 36? Give your answer to 2 decimal places.
Use z scores to compare the given values.Based on sample data , newborn males have weights with a mean of 3242.5 g and a standard deviation of 687.2 g . Newborn females have weights with a mean of 3085.4 and a standard deviation of 829.1 g . Who has the weight that is more extreme relative to the group from which they came : a male who weighs 1500 g or a female who weighs 1500 ?
Suppose a set of data has a sample mean of 112 and a sample standard deviation of 8.3. What is the z-score for the value 127.8? Round the z-score to two decimal places. Your Answer:
A researcher collects data that represents the average number of hours of sleep in the last two nights by 8 depressed patients and 9 non-depressed patients. The researcher is interested in whether the two groups reliably differ in the amount of sleep they get. Use Jamovi to calculate t-obt and the p value.
Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3282.7 g and a standard deviation of 689.7 g. Newborn females have weights with a mean of 3017.5 g and a standard deviation of 722.2 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1500 g or a female who weighs 1500 g? Since the z score for the male is z = more extreme. (Round to two decimal places.) and the z score for the female is z = [ =, the has the weight that is