Question

1. A parent believes her child has strep throat. The child does have strep but the test at the doctor's comes back negative. A) Type 1 error B) Type Il error C ) No error, correct decision. 2. A coach believes that the athletes on the team are doing drugs. An athlete who has never used any drugs tests positive for drug use. A) Type I error B) Type Il error C) No error, correct decision. 3. A can of cola advertises a mean weight of 12 oz. A sample of 100 cans taken from a bato has a mean weight of 12.5 oz. This is outside of the confidence interval, so the entire batt is rejected. It is later found that the true mean weight of the batch is within the interval. A) Type I error B) Type Il error C) No error, correct decision. 4. A teacher gives a test to 5 sections of Statistics. She makes the hypothesis that all classe will have the same mean. Upon analysis, she finds that all of the means fall within a 95% confidence interval of the population. A) Type I error B) Type Il error C ) No error, correct decision. 6. True or False: With a Type I error, you reject the null hypothesis when it is true. A) True B) False 6. If the null hypothesis is false, what kind of error can you make? A) Type I error B) Type Il error C ) Both type I and II D) You can't make an erre Calculating the probability of errors as defined on page 353. In this problem you will calculate the probability of different types of errors occurring. a = probability of a type I error = the significance level used for testing B = probability of a type Il error power = probability that a test will reject the null hypothesis when it is, in fact, false = 1-B Directions: For problems 7-10 • Review the situation and question. You may use the TI, Excel or Stat Crunch. I used TI-84 for the screen shots. . Show your work to completely answer the questions.

Answer 1

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Answers

1) option A Type 1 error

Reason : Null Hypothesis is the child has strep throat and Alternative Hypothesis is the child has no strep throat. Here the test Rejected Null hypothesis but actually it is true, so type 1 error

2) option B Type 2 error

Reason : Null hypothesis is athelete use drugs and Alternative hypothesis is athelete not use any drugs. Here Alternative Hypothesis is true . But the test Failed to Reject null hypothesis , So type 2 error

3) option A type 1 error

Reason : Null hypothesis is batch is not bad and Alternative is batch is so bad.. Reality is Null hypothesis is true but we rejected it. So type 1 error

4) option C Correct decision

Reason : Her decision using confidence interval is correct. But still there are 5% of type 1 error is possible and more than 5% type 2 error is possible. WHY I AM SAYING BOTH TYPE ERRORS HERE ? Because we actually don't know which is the real fact here, she hypothesized that all classes have same mean. In reality it may be true or false. So two type of errors are possible... But her decision based on sample and confidence interval is correct..

5) True

Reason : Actual definition of type 1 error

6) option B type 2 error

Reason : if null hypothesis is false the we don't rejected it and rejected alternative hypothesis .. then this is a case of type 2 error