(a) A new drug is being compared with a standard drug for treating a particular illness. In a clinical trial, a group of two hundred patients was split into two equal groups receiving either the new drug or the standard drug. The condition improved in 85% of patients who received the new drug and in 72% of patients who received the old drug. Carry out an appropriate hypothesis test at the 5% significance level to investigate whether the new drug is better than the standard drug. Construct a 95% confidence interval for the difference in the two proportions.

(a) A new drug is being compared with a standard drug for treating a particular illness. In a clinical trial, a group of two hundred patients was split into two equal groups receiving either the new drug or the standard drug. The condition improved in 85% of patients who received the new drug and in 72% of patients who received the old drug. Carry out an appropriate hypothesis test at the 5% significance level to investigate whether the new drug is better than the standard drug. Construct a 95% confidence interval for the difference in the two proportions.

Name: (a) A new drug is being compared with a standard drug for treating a
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: (a) A new drug is being compared with a standard drug for treating a particularillness. In a clinical trial, a group of two hundred patients was split into twoequal groups receiving either the new drug or the standard drug. Thecondition improved in

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

Please help me better understand how to properly solve. A randomized controlled experiment in Charlotte, North Carolina, studied three police responses to spousal abuse: advise and possibly separate the couple, issue a citation to the offender, and arrest the offender. The effectiveness of the three responses was determined by re-arrest rates. The photo shows the rates. Research wishes to test null hypothesis that that the proportions of subsequent arrests are the same regardless of the treatment assigned. Under the null hypothesis, determine the expected number of times no subsequent arrest would occur for the treatment “Advise/separate”?
A new shampoo is being test-marketed. A large number of 16 ounce bottles were mailed out at random to potential customers in the hope that the customers will retuen an enclosed questionnaire. Out of tbe 1500 returned questionnaires, 975 indicated that they like the shampoo and will consider buying ir when it becomes available on the market. Perform a hypothesis to determine if the proportion of potential customers is at most 65 percent. Use a level of significance of 0.05.
According to the most recent General Social Survey, 70% of adults watch TV nightly. A researcher believes that the proportion of college students who watch TV nightly is less than this. To test this claim the research samples 400 college students and finds that 276 watch TV nightly. At the 0.05 level of significance does this data provide evidence to suggest that the proportion of college students who watch TV nightly is less than 70%? Select the correct hypothesis test for this problem:
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 310 139 36 Female 335 156 34 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Họ: The sex of the respondent and the choice for the cause of global warming are independent. H1: The sex of the respondent and the choice for the cause of global warming are dependent. Compute the test statistic. 0.422 (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed.…
In a clinical trial of a drug intended to help people stop smoking, 125 subjects were treated with the drug for 12 weeks, and 14 subjects experienced abdominal pain. If someone claims that more than 8% of the drug's users experience abdominal pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.17 as an alternative value of p, the power of the test is 0.95. Interpret this value of the power of the test. The power of 0.95 shows that there is a % chance of rejecting the hypothesis of p = when the true proportion is actually That is, if the proportion of users who experience abdominal pain is actually then there is a % chance of supporting the claim that the proportion of than 0.08. users who experience abdominal pain is (Type integers or decimals. Do not round.)
A manufacturer of laptop computers claims that only 1% of their computers are defective. In a sample of 600 computers, it was found that 3% were defective. If the proportion of defectives were really only 1%, there would be than 1 chance in 1000 of getting such a large proportion of defective laptops in the sample. Is there statistically significant evidence against the manufacturer's claim? Why or Why not?
A psychiatrist hypothesized that patients with schizophrenia who have been in the hospital the longest would score the lowest on a mental orientation test. She collected data for six patients with schizophrenia, which are listed in the table below: Years of Hospitalization Mental Orientation 6 7 12 3 5 3 8 Test the hypothesis at the 5% significance level (a = 0.05) using the 5-step hypothesis testing procedure (show ALL steps). Make sure to clearly state the null and alternative hypotheses in formal symbol notation (or in words if formal symbol notation is not appropriate). Show your work. Show the formula and all steps of the calculations and not just the final answer. Round all values to 2 decimal places. If ANOVA is the appropriate test, you must show the complete ANOVA summary table. 7
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 334 156 48 Female 314 134 44 Click here to view the chi-square distribution table. Но The sex of the respondent and the choice for the cause of global warming are independent. Hy: The sex of the respondent and the choice for the cause of global warming are dependent. Compute the test statistic. (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is…
An advertising agency collected a random sample of 300 businesses targeted with an advertising campaign for a large commercial bank. The sample was used to investigate the efficacy of the advertising campaign. One of the variables measured was whether the business was considering becoming a client of the bank. Of the businesses sampled, 50 of the 300 businesses reported that they were considering becoming a client of the bank. A hypothesis test was conducted to determine if this provides evidence that less than 20% of all businesses were considering becoming a client of the bank. Calculate the test statistic to two decimal places (2dp). Test statistic =
In a poll conducted by The New York Times and CBS News, 44% of Americans approve of the job that the Supreme Court is doing (The New York Times, June 8, 2012). Assume that this percentage was true for the population of Americans at the time of this poll was conducted. A recent poll of 1265 Americans showed that 38% of them approve of the job that the Supreme Court is doing. At a 2% significance level, can you conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is different from 44%?Round your answers to two decimal places.zobserved =zcritical left =zcritical right =We (reject, fail to reject) the null hypothesis. We conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is Choose your answer; We conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is (not different from, different…
A large manufacturing company claims that less than 10% of its customers make a complaint about the company’s products. Test this claim at the 10% significance level, if a survey found that 29 out of a random sample of 320 of the company’s customers made a complaint about the company’s products.