Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailedO Two-tailedStep 2: Enter the test statistic.(Round to 3 decimal places.)Step 3: Shade the area represented bythe p-value.Step 4: Enter the p-value.(Round to 3 decimal places.)A02+01+(d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claim madein the school's reports.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enoughevidence to reject the claim that 39% of students will find a match their first time using the site.Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is notenough evidence to reject the claim that 39% of students will find a match their first time using the site.Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidenceto reject the claim that 39% of students will find a match their first time using the site.O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enoughevidence to reject the claim that 39% of students will find a match their first time using the site. At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 39% of students will finda match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample of 160 students who visited the sitelooking for a roommate. Of the students surveyed, 54 said they found a match their first time using the site.Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to reject the claim that theproportion, p, of all students who will find a match their first time using the site is 39%.(a) State the null hypothesis H, and the alternative hypothesis H₁ that you would use for the test.Ho:H₁:0р0<00<0□□ 0=0(b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One standard is that np≥ 10and (1-p) ≥10 under the assumption that the null hypothesis is true.) Here is the sample size and p is the population proportion you are testing.np=0n(1-p) = ||(c) Perform a Z-test and find the p-value.Here is some information to help you with your Z-test.p-p⚫ The value of the test statistic is given byp(1-p)n• The p-value is two times the area under the curve to the left of the value of the test statistic.

Let p be the population proportion of student who found a match their first time using a site.Given…

Answered: (d) Based on your answer to part (c),…

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 231 subjects are treated with a drug that is used to treat pain and 51 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho: p=0.20 H₁: p>0.20 O B. Ho: p=0.20 H₁: p0.20 O C. Ho: p>0.20 H₁: p=0.20 D. Ho: p=0.20 H₁: p<0.20 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.)
It has been found that many first-time interviewees commit errors that could very well affect the outcome of the interview. An astounding 77% are guilty of using their cell phones or texting during the interview. A researcher suspects that the proportion of female offenders is less than the proportion of male offenders. Out of 150 females, 80 used their cell phone and 72 of 120 males did so. At the 0.01 level of significance, is there enough evidence to support the researcher's claim?
In a survey, 45% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 240 pet owners and discovered that 104 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.01 level of significance. Because npo (1- Po) = 59.4 > 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis satisfied, are (Round to one decimal place as needed.) What are the null and alternative hypotheses? |versus H,: Họ: (Type integers or decimals. Do not round.)
Suppose 235 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea.The test statistic for this hypothesis test is .(Round to two decimal places as needed.)
In a survey, 37% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected 170 pet owners and discovered that 59 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.1 level of significance. Because npo (1- Po) =O > 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis satisfied. are (Round to one decimal place as needed.)
You wish to test the following daim (Ha) at a significance level of a = 0.001. H.:P1 P2 You obtain a sample from the first population with 268 successes and 44 failures. You obtain a sample from the second population with 558 successes and 147 failures. test statistic = [three decimal accuracy] p-value = [four decimal accuracy] The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null hypothesis fail to reject the null hypothesis As such, the final condusion is that... O There is sufficient evidence to support that the first population proportion is greater than the second population proportion. There is not sufficient evidence to support that the first population proportion is greater than the second population proportion.
The drug Ritalin is designed to stimulate the central nervous system. In a random sample of 252 boys aged ten-twelve years old, it was found that 44 of the boys were taking Ritalin. It is known that the proportion of all boys aged 13 – 15 who take Ritalin is 24%. A researcher claims that the population proportions of boys who take Ritalin aged 10 – 12 are different than boys aged 13 – 15. Can you support this claim at the 5% significance level? d. Write a complete sentence describing what a Type II error is in context. e. Suppose that we used a 1% significance level. What would your decision and conclusion be?
Test the claim that the proportion of people who own cats is significantly different than 50% at the 0.1 significance level. The null and alternative hypothesis would be: Ho:p 0.5 Ho:p 0.5 H1:p > 0.5 H1: < 0.5 H1:p< 0.5 H:u 0.5 %3D The test is: two-tailed left-tailed right-tailed Based on a sample of 400 people, 57% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
You wish to test the following claim (H.) at a significance level of a = 0.002. H.:p1 – P2 = 0 P2 > 0 You obtain a sample from the first population with 384 successes and 63 failures. You obtain a sample from the second population with 606 successes and 116 failures. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = %3D The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... O There is enough evidence to show that the first population proportion is not greater than the second population proportion. There is not enough evidence to show that the first population proportion is not greater than the second population proportion. There is enough evidence to…
In a survey, 45% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 240 pet owners and discovered that 104 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.01 level of significance. Because npo (1- Po) = 59.4 > 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis satisfied. are (Round to one decimal place as needed.) What are the null and alternative hypotheses? 0.45 versus H,: P Hо: р (Type integers or decimals. Do not round.) 0.45 Find the test statistic, zo. Zo = (Round to two decimal places as needed.)
What is the relationship between the t-test and the sample size? (i.e., when will a t-test be more likely to be significant/you would reject the null)?
USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1008 Chevrolet owners and found that 481 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: p = 0.47; H1: p > 0.47H0: p = 0.47; H1: p < 0.47 H0: p > 0.47; H1: p = 0.47H0: p = 0.47; H1: p ≠ 0.47 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5.The standard normal, since np < 5 and nq < 5. The Student's t, since np > 5 and nq > 5.The Student's t, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.)(c) Find the P-value of the test statistic. (Round your answer to four…

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