The scientific community is working to develop an antibody test to detect whether or not a person has had a particular disease A. To authorise the test in the market, the government requires that the test should have a positive detection rate greater than 80%. A random sample of 1000 patients that had the disease A and were discharged from hospital was taken. The results show that the test was positive only for 820 of the patients. Will the government approve the test? At 1% significance level perform an appropriate hypothesis test to support the decision of the government and answer the questions below (provide numerical answers to two decimal places).

The scientific community is working to develop an antibody test to detect whether or not a person has had a particular disease A. To authorise the test in the market, the government requires that the test should have a positive detection rate greater than 80%. A random sample of 1000 patients that had the disease A and were discharged from hospital was taken. The results show that the test was positive only for 820 of the patients. Will the government approve the test? At 1% significance level perform an appropriate hypothesis test to support the decision of the government and answer the questions below (provide numerical answers to two decimal places).

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

A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of Neema Toads. In a sample of 6 Neema Toads of Species I, 0.8% had the mutation while in a sample of 14 Neema Toads of Species II, 0.7% showed the mutation. Is there significant evidence to suggest a difference in the prevalence of the mutation across the two species? Conduct a hypothesis test at a significance level of α=0.01α=0.01.a) The hypotheses for this test are: H0: pI - pII = 0Ha: pI - pII ≠ 0 H0: pI - pII = 0Ha: pI - pII < 0 H0: pII = 0.008Ha: pII ≠ 0.008 H0: pI - pII = 0Ha: pI - pII > 0 What is the test statistic for this test?test statistic = (Report answer accurate to 2 decimal places.)What is the p-value for this test?p-value = (Report answer accurate to 4 decimal places.)The decision reached is Fail to reject H0 Reject H0 and accept Ha As such, the final conclusion is that The prevalence of the mutation is the same for both species. There is…
Migraine and Acupuncture: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 169 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 66 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 103 patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). 24 hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below. Test to see if migraine pain relief is dependent on receiving acupuncture. Use a = .05. Pain Free: Pain Free: Total Yes No Treatment 16 50 66 Control 9 94 103 Total 25 144 169
You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.37. You use a significance level of α=0.002α=0.002. H0:p=0.37H0:p=0.37 H1:p<0.37H1:p<0.37You obtain a sample of size n=155n=155 in which there are 44 successes.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 =
A company produces 1,000 blue crayons every day. A sample of 50 crayons are analyzed, and 3 of them are found to not meet the standards of the company, so they are labeled defective. A simulation is run in which 50 crayons are chosen out of 1,000 so that each crayon chosen has a 6% chance of being defective. The simulation is run 500 times, and the mean proportion of defective crayons is 0.059 with a standard deviation of 0.012. What is a good margin of error based on this simulation? Based on a population proportion estimate and margin of error, is 0.07 a plausible value for the population proportion of crayons that are defective? Explain your reasoning.
A researcher goes to a local park to see how many people are wearing face masks. She counts 37 women in the park, of whom 24 are wearing face masks, while 14 out of 30 men are wearing face masks. Can she say that there is a significant difference of the percent of each gender who wears masks? (Use α = .10) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:
Migraine and Acupuncture: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 164 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 70 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 94 patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). 24 hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below. Test to see if migraine pain relief is dependent on receiving acupuncture. Use a = 0.05. Pain Free: Yes Pain Free: No Total Treatment Control Total 19 51 70 9 85 94 28 136 164 a) What is the correct null hypothesis? O Ho: P1 P2 P3 = P4 O Ho: Migraine pain relief is dependent on…
I need to determine the expected values and find the test statistic and the p value.
You are conducting a study to see if the accuracy rate for fingerprint identification is significantly more than 0.24. You use a significance level of α=0.001α=0.001. H0:p=0.24H0:p=0.24 H1:p>0.24H1:p>0.24You obtain a sample of size n=383n=383 in which there are 100 successes.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 =
Migraine and Acupuncture: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 161 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 65 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 96 patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). 24 hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below. Test to see if migraine pain relief is dependent on receiving acupuncture. Use αα = 0.05. Pain Free: Yes Pain Free: No Total Treatment 13 52 65 Control 5 91 96 Total 18 143 161 b) Fill in the expected values, round answers to at least 4 decimal places.…
A publisher reports that79%of their readers own a personal computer. A marketing executivewants to test the claim that the percentage is actually more than the reported percentage. A randomsample of 100 found that89%of the readers owned a personal computer. Is there sufficient evidence atthe 0.02 level to support the executive’s claim?
Based on past record of a pharmaceutical company, the cure rates for a standardmedication in treating a particular ailment is ten percent. After five years, thecompany has produced a new medication. The hired pharmacist in the companyclaims that the new medication produced by the company is effective in treating aparticular ailment compared to a standard medication. In a simple randomsample of two hundred subjects who took the new medication, it was found thatsixty subjects are uncured. Meanwhile, one hundred and eighty subjects arecompletely cured from three hundred subjects who took the standard medication.Given that the 97.8% confidence interval for the cure rates of the standardmedication is (0.5352, 0.6648). Can we conclude that the cure rates of thestandard medication do not change from the past record?
A survey will be conducted to compare the grade point averages of US high-school students from four different school districts. Students are to be randomly selected from each of the four districts and their grade point averages recorded. The ANOVA model most likely to fit this situation is: O oneway ANOVA based on independent samples. O two-way ANOVA based on independent samples. O one-way ANOVA based on randomised blocks. O random effects ANOVA