Differentiate Between Type I and Type II Errors When Performing a Hypothesis TestQuestionDetermine the Type I error if the null hypothesis, Ho, is: an electrician claims that no more than 10% of homes in the cityare not up to the current electric codes.Select the correct answer below:The electrician thinks that no more than 10% of homes in the citywhen, in fact, there really are no more than 10% that are not up to the current electric codes.are not up to the current electrical codesThe electrician thinks that more than 10% of the homes in the city are not up to the current electrical codeswhen, in fact, there reallyare more than 10% of the homes that do not meet the current electric codes.The electrician thinks that more than 10% of the homes in the city are not up to the current electrical codeswhen, in fact, at most 10% of the homes in the city are not up to the current electric codes.The electrician thinks that no more than 10% of homes in the city are not up to the current electrical codeswhen, in fact, more than 10% of the homes are not up to the current electric codes.SUBMITFEEDBACKMORE INSTRUCTIONoாentambution

Type 1 error:The probability of rejecting H0 when it is true is called type 1 error.

Answered: Differentiate Between Type I and Type…

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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The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P= 0.0158 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0158, is greater than a = 0.01. O B. Fail to reject H, because the P-value, 0.0158, is greater than a = 0.01. O C. Fail to reject Ho because the P-value, 0.0158, is less than a = 0.01. O D. Reject Ho because the P-value, 0.0158, is less than g = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance?
2
Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.10 significance level to test the claim. 1. Identify the null and alternative hypothesis for this test. 2. Identify the test statistic and the P value for this hypothesis test. 3. Identify the conclusion for this hypothesis test.
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P=0.1162 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Reject H, because the P-value, 0.1162, is greater than a = 0.01. O B. Reject H, because the P-value, 0.1162, is less than a= 0.01. O C. Fail to reject Ho because the P-value, 0.1162, is less than a= 0.01. O D. Fail to reject H, because the P-value, 0.1162, 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, 0.1162, is less than a = 0.05. O B. Reject Họ because the P-value, 0.1162, is greater than a = 0.05. O C. Fail to reject Ho because the P-value, 0.1162, is greater than a = 0.05. O D. Reject H, because the P-value, 0.1162, is less than oa = 0.05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance? O A. Reject H,…
Some people claim that they can tell the difference between a diet soda and a regular soda in the first sip. A researcher wanting to test this claim randomly sampled 84 such people. She filled 84 plain white cups with soda, half diet and half regular through random assignment, and asked each person to take one sip from their cup and identify the soda as diet or regular. 51 participants correctly identified the soda. Conduct and interpret a hypothesis test for the following question: are these people any better or worse at telling the difference between diet and regular soda than random guessing (correctly identify soda half of the time)? HINT: what is your hypothesized proportion if you want to test if these participants are right or not half of the time? Use a = .01 significance level. Solve Critical value:
According to a recent study in New York, 15% of shoppers are unfairly being charged sales tax in non-taxable items. Mr. Hypothesis feels this proportion is too low. He tests his belief by conducting a survey of 200 random shoppers. Which of the following is the null hypothesis? a. The percent of shoppers unfairly being charged sales tax on non-taxable items < .15 b. The percent of shoppers unfairly being charged sales tax on non-taxable items > .15 c. The percent of shoppers unfairly being charged sales tax on non-taxable items = .15
A store owner wanted to determine if more than 5% of customers made a purchase after he sent out a text. He sent out 300 texts to 300 randomly selected customers. Out of those 300, 17 made purchases. Is this evidence that if he sent out texts to all of his customers more than 5% would make purchases? What is the appropriate null and alternative hypothesis? Ho: p= 0.05 Ha: p> 0.05 O Ho: phat = 0.05 Ha: phat > 0.05 O Ho: p= 0.056 Ha: p > 0.056 O Ho: mu = 0.05 Hla: mu > 0.05
High School Band - In most US high schools, students can play an instrument in three types of bands. A random sample of high school band students was taken and the results are summarized in the table below. Instrument type Band Woodwind Brass Percussion type Concert 31 25 8 Jazz 10 16 10 Marching 65 65 27 To assess whether there is a relationship between band type and instrument type, we conduct an appropriate hypothesis test. What is the p-value for this hypothesis test? Give your answer to 4 decimal places. Your Answer:
Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p= 0.29 H,: p 0.29 О В. Но: р#0.29 H,:p=0.29 Ос. Но: р30.20 H4:p>0.29 O D. Ho:p=0.29 H:p<0.29 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)
Suppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.29 H1: p>0.29 O B. Ho: p#0.29 H1:p=0.29 O C. Ho: p=0.29 H1:p#0.29 OD. Ho: p=0.29 H1:p<0.29 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is . (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29%
Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 25%. Use a 0.01 significance level to test that claim.The test statistic for this hypothesis test is
You play roulette and observe the ball land in the 1st dozen (i.e., 1-12) 5 times out of 5 spins. You want to perform a test to determine if the wheel is fair. State the null and alternative hypothesis. What is the p-value of this test? For ? α =.05 significance level, what do you conclude?

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