For the given scenario, determine the type of error that was made, if any. (Hint:Begin by determining the null and alternative hypotheses.)A pharmaceutical company claims only 2% as the percentage of people taking aparticular drug that experience significant side effects. One researcher claims thatthe percentage of people taking a particular drug that experience significant sideeffects is less than 2%. The researcher conducts a hypothesis test and rejects thenull hypothesis. Assume that in reality, the percentage of people taking a particulardrug that experience significant side effects is 0.5 %. Was an error made? If so,what type? OYes; Type II errorO Yes; Type I errorO No; correct decision

Type 1 error: When the null hypothesis is rejected even when it is true, this is known as a Type I…

Answered: For the given scenario, determine the…

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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For the given scenario, determine the type of error that was made, if any. (Hint: Begin by determining the null and alternative hypotheses.) A pharmaceutical company claims only 2% as the percentage of people taking a particular drug that experience significant side effects. One researcher claims that the percentage of people taking a particular drug that experience significant side effects is less than 2%. The researcher conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the percentage of people taking a particular drug that experience significant side effects is 0.5%. Was an error made? If so, what type?
A paint manufacturer advertises that one gallon of its paint will cover 400 square feet of an interior wall. Some local painters suspect the average coverage is considerably less and decide to conduct an experiment to find out. Which of the following are the correct null and alternative hypotheses to be tested? A construction company has a bid on two large construction projects. The president believes that the chances of winning the first contract is 55% and the chances of winning the second contract is 30% and that winning either contract is independent of winning the other. What are the chances the company will not win either contract? Spelling mistakes in a text are either “nonword errors” or “word errors.” A nonword error produces a string of letters that is not a word, such as “the” typed as “teh.” Word errors produce the wrong word, such as “loose” typed as “lose.” Nonword errors make up 25% of all errors. A human proofreader will catch 80% of nonword errors and 50% of…
An automobile manufacturer claims that the average gas mileage of a new model is 35 miles per gallon (mpg). A consumer group is skeptical of this claim and thinks the manufacturer may be overstating the average gas mileage. If µ represents the true average gas mileage for this new model, which of the following gives the null and alternative hypotheses that the consumer group should test?
Find the quantity (deviance) for testing the hypothesis H0 and the pvalue used
For each of the following scenarios, state the null and alternative hypotheses. Scenario A: You read in a report that preschool-aged children have on average 5.2 books at home. You are concerned that children in your community have fewer books.
When having a baby, assume that the probability of having a boy is 50% and the probability of having a girl is 50%. The Ericsson method is one of several methods claimed to increase the likelihood of having a baby girl. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis (H1) of p>0.5, which corresponds to the claim that the method increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5. 1. State the null hypothesis (H0) involving this proportion. 2. If you have an interest in establishing the success of the method, which of the following P-values would you prefer: 0.999, 0.5, 0.95, 0.5 0.01, 0.001? 3. Why would you prefer that p-value over the others?
Dreamfilms Studios boasts that its summer features are so good that at least half of all tickets sold one summer are for its films. A competing studio claims that less than half of all tickets sold are for Dreamfilms' movies. After the hypothesis test is completed, the conclusion is to fail to reject the null hypothesis. If the true percentage of tickets sold for Dreamfilms Studios' movies that summer was only 48%, was an error committed? If so, what type?
In quality–control applications of hypothesis testing, the null and alternative hypotheses are frequently specified as H0: The production process is performing satisfactorily and Ha: The process is performing in an unsatisfactory manner. Accordingly, α is sometimes referred to as the producer's risk, while β is called the consumer's risk. An injection molder produces plastic golf tees with a mean weight of 0.252 ounce. To investigate whether the injection molder is operating satisfactorily, 40 tees were randomly sampled from the last hour's production. Their weights (in ounces) are listed in the accompanying table. Complete parts a through g. 0.248 0.251 0.249 0.250 0.255 0.251 0.251 0.248 0.248 0.251 0.254 0.252 0.256 0.251 0.252 0.253 0.250 0.254 0.254 0.254 0.251 0.251 0.252 0.249 0.249 0.251 0.252 0.253 0.248 0.252 0.252 0.252 0.249 0.252 0.249 0.253 0.252 0.249 0.249 0.251 b.…
In quality–control applications of hypothesis testing, the null and alternative hypotheses are frequently specified as H0: The production process is performing satisfactorily and Ha: The process is performing in an unsatisfactory manner. Accordingly, α is sometimes referred to as the producer's risk, while β is called the consumer's risk. An injection molder produces plastic golf tees with a mean weight of 0.252 ounce. To investigate whether the injection molder is operating satisfactorily, 40 tees were randomly sampled from the last hour's production. Their weights (in ounces) are listed in the accompanying table a. Write H0 and Ha in terms of the true mean weight of the golf tees, μ. A. H0: μ=0.252 Ha: μ<0.252 B. H0: μ=0.252 Ha: μ≠0.252 C. H0: μ=0.252 Ha: μ>0.252 D. H0: μ≠0.252 Ha: μ=
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 50 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.10. State the null hypothesis H0 and the alternate hypothesis H. np? nq? What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? Interpret your conclusion in the context of the application.
When is a researcher at risk of making a Type II error? a. whenever H1 is rejected b. whenever H0 fails to be rejected c. whenever H0 is rejected d. The risk of a Type II error is independent of the decision from a hypothesis test.
If I conduct a hypothesis testing with Type I error set at 0.05 and a resulting p-value of 0.3, what would my conclusion be?

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