Question

In: Statistics and Probability

2.3.10 In Example 1.1, we looked at a study to investigate whether dolphins could communicate. In...

2.3.10 In Example 1.1, we looked at a study to investigate whether dolphins could communicate. In doing so, we tested whether Buzz, one of the dolphins, could push the correct button more than 50% of the time in the long run.

a. Describe what a Type I error would be in this study.

b. Describe what a Type II error would be in this study

Solutions

Expert Solution

We know that the type I error occurs when we reject the null hypothesis when it is true and type II error occurs when we do not reject the null hypothesis when it is not true.

a. Describe what a Type I error would be in this study.

The Type I error for this study occurs when we reject the null hypothesis and conclude that Buzz could push the correct button more than 50% of the time, but actually Buzz push correct button less than or equal to 50% of the time.

b. Describe what a Type II error would be in this study

The Type II error for this study occurs when we do not reject the null hypothesis and conclude that Buzz could push the correct button less than or equal to 50% of the time, but actually Buzz push correct button more than 50% of the time.


Related Solutions

A study was conducted to investigate whether or not exercise is a factor in the overall...
A study was conducted to investigate whether or not exercise is a factor in the overall outlook and positive spirit of Denton County residents. For the study, 400 Denton County residents were selected at random from each of the following two categories: those who exercise on a regular basis and those who do not. For the purpose of this study, the term “regular exercise” was well defined for all participants. A total of 800 people completed a brief telephone survey....
A study is designed to investigate whether there is a difference in response to various treatments...
A study is designed to investigate whether there is a difference in response to various treatments in patients with rheumatoid arthritis. The outcome is patient’s self-reported effect of treatment. The data are shown below. Are symptoms independent of treatment? Conduct a ChiSquare test at a 5% level of significance. 1.df= (2 points) 2.Critical value: (2 points) 3.Computed statistic: (2 points) 4.Based on comparing the computed statistics to the critical value which of the following is (are) true? (4 points) a....
A study is designed to investigate whether there is a difference in response to various treatments...
A study is designed to investigate whether there is a difference in response to various treatments in patients with Rheumatoid arthritis. The outcome is the patient’s self-reported effect of treatment. The data are shown below. Is there a significant difference in effect of treatment? Run the test at a 5% level of significance. Symptoms Worsened No Effect Symptoms Improved Total Treatment 1 22 14 14 50 Treatment 2 14 15 21 50 Treatment 3 9 12 29 50
An investigator conducts a study to investigate whether there is a difference in mean PEF in...
An investigator conducts a study to investigate whether there is a difference in mean PEF in children with chronic bronchitis as compared to those without. Data on PEF are collected and summarized below. Based on the data, is there statistical evidence of a lower mean PEF in children with chronic bronchitis as compared to those without? Run the appropriate test at α=0.05. Make sure to 1. give the null and alternative hypotheses, 2. calculate the test statistic, and 3. give...
investigate whether it is effective. There are 333 subjects in the study. Is there sufficient evidence...
investigate whether it is effective. There are 333 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Step 3 of 8: Find the expected value for the number of subjects who are not vaccinated and are not diseased. Round your answer to one decimal place. Step 4 of 8: Find the value of the test statistic. Round your answer to three decimal places Step 5 of 8: Find the degrees of freedom...
A study was conducted to investigate whether a new diet lowers cholesterol. The researchers took a...
A study was conducted to investigate whether a new diet lowers cholesterol. The researchers took a random sample of 100 subjects with high cholesterol and measured the cholesterol levels for each. Then each subject began the new diet as instructed. After six months, the subjects' cholesterol levels were measured again. The differences in cholesterol level, calculated as After - Before, follow an approximately normal distribution. Suppose a 99% confidence interval for the mean cholesterol difference is (-13.89, -7.66). Which of...
A study was conducted to investigate whether compliance training affected the productivity of the company’s administrative...
A study was conducted to investigate whether compliance training affected the productivity of the company’s administrative staff. A random sample of 30 administrative staff underwent compliance training. Download and open the Accounts.xlsx file in Excel. This file contains the number of accounts processed by each staff member both in the week before compliance training and again in the week after compliance training. Use Excel to carry out a suitable test to address the following research question: Is there a difference...
In a study to investigate whether vitamin C is an effective treatment for colds, volunteers who...
In a study to investigate whether vitamin C is an effective treatment for colds, volunteers who caught a cold after having been exposed to various cold viruses are assigned at random to one of two groups. The 10 volunteers in the experimental group were given tablets containing 1 gram of vitamin C to be taken four times a day. The 12 volunteers in the control group were given placebo tablets. The length of time (in days) the cold lasted for...
Examine the following abstract: “In this study, we investigate the behavior of new nano ZrO2 and...
Examine the following abstract: “In this study, we investigate the behavior of new nano ZrO2 and Al2O3-13 wt.% TiO2 thermal sprayed coatings on commercially pure (cp)-Ti (grade 4) and titanium alloy substrates. Friction and wear tests against Al2O3 balls showed that the wear resistance of Al2O3-13 wt.% TiO2 is better than that ZrO2 coating. Both plasma sprayings have similar abrasive wear behavior; however, the average friction coefficient is higher for alumina-titania coating. Electrochemical tests, open circuit potential monitoring and potentiodynamic...
one method to investigate gene-environment interaction is to study monozygotic twins. identify an example of a...
one method to investigate gene-environment interaction is to study monozygotic twins. identify an example of a twin study ised to examine the gene-environment interraction of a specific disease or condition. briefly sumarize the gene-environment interaction investigated the method and the result. what are other possible methods of studying gene-environment interaction as they relate to improving population health.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT