Use the following information to answer the question. A janitor at a large office building believes that his supply of light bulbs has a defect rate that is different thanthe defect rate stated by the manufacturer. The janitor's null hypothesis is that the supply of light bulbs has a defect rate of p - 0.09 (the light bulb manufacturer'sstated defect rate). Suppose we do a hypothesis test with a significance level of 0.01. Symbolically, the null and alternative hypothesis are as follows: Ho: p = 0.09 andHa:p > 0.09.The janitor calculates a p-value for the hypothesis test of approximately 0.113. Choose the correct interpretation for the p-value.O The p-value tells us that the true population rate of defective light buibs is approximately 0.113.O The p-value tells us that the probability of concluding that the defect rate is equal to 0.09, when infact it is greater than 0.09, is approximately 0.113.O The p-value tells us that if the defect rate is 0.113, then the probability that the janitor will have 33 defective light bulbs out of 300 is approximately 0,113. At a significance levelof0.01, this would not be an unusual outcome.O None of these

here given p-value = 0.113 and significance level = 0.01 p-value is probability of getting extreme…

Answered: The janitor calculates a p-value for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose you conduct a hypothesis test based on a sample where the sample size is n = 50, and arrive at a p-value of 0.08. You then refer back to your notes and discover that you made a careless mistake, the sample size should have been n = 500. Will your p-value increase, decrease, or stay the same? stay the same increase decrease Answer not here
A shopkeeper wonders if number of their female and male customers are equal or not. They count the customers of each gender for a day, they find that 48 females and 53 males visit the shop. Make a hypothesis test to decide if number of females and males are significantly different from each other or not. Report a p-value for significance.
University X installed a new water fountain in the gym. The machine is designed to dispense 250 ml of water in a medium sze setting The staff suspects that the machine may be dispensing too much in medium bottles. They decided to take a sample of 50 medium bottles to see if the average amount is significantly greater than 250 ml What are appropriate hypotheses for their significance test? Select one O a HO p 250 ml. Ha p- 250 ml. (Where p is proportion of water dispensed on the setting) O b. HO 250 ml Ha. us 250 ml. (Where u is the average water dispensed on this setting) O C HO u 250 ml Ha 250 mi. (Where u is the average water dispensed on the setting) O d HO p 250 ml Ha pe 250 mt. (Where pis the proportion of water dispensed on this setting)
State the null and alternative hypothesis for 24 and 26
In each part, we have given the significance level and the P-value for a hypothesis test. For each case determine if the null hypothesis should be rejected. Write "reject" or "do not reject" (without quotations - if you like use copy and paste to avoid typos). (a) α= 0.01, P = 0.06 answer: (b) a = 0.06, P = 0.001 answer: (c) a = 0.07, P = 0.06 answer:
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H, when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P= 0.0406 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0406, is less than a = 0.01. O B. Fail to reject H, because the P-value, 0.0406, is less than a = 0.01. OC. Reject H, because the P-value, 0.0406, is greater than a = 0.01. O D. Fail to reject H, because the P-value, 0.0406, is greater than a = 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Fail to reject H, because the P-value, 0.0406, is greater than a= 0.05. O B. Reject H, because the P-value, 0.0406, is less than a = 0.05. O C. Reject H, because the P-value, 0.0406, is greater than a = 0.05. O D. Fail to reject H, because the P-value, 0.0406, is less than a = 0.05. (c) Do you reject or fail to reject H, at the 0.10 level of significance? O A. Reject H,…
Test the claim about the population mean, u, at the given level of significance using the given sample statistics. Claim: u= 40; a = 0.06; o = 3.41. Sample statistics: x = 39.9, n = 71 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H>40 О В. Но: н- 40 Hai H= 40 Ha: H 40 Ο F. Ho: μ# 40 Ha:H= 40
Q13. The null Hypothesis is rejected, if the P-value is larger than significance level.a. Trueb. False
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The janitor calculates a p-value for the hypothesis test of approximately 0.113. Choose the correct interpretation for the p-value. The n-value natelu O 11