Step 1. State hypotheses and alpha level. Step 2. Locate critical region. Step 3. Collect data and calculate test statistic
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A professor at the University of Wisconsin is interested in studying the relationship between officer’s gender and citizen complaints. The professor gathered information on 55 officers randomly sampled from the Chicago Police Department. Using the data collected below apply the five steps of the hypothesis testing process to answer the research question: is there a relationship between gender and citizen complaints. Use a two-tailed test with an alpha level of 0.05
Male Officers |
Female Officer |
n = 35 |
n = 20 |
M = 10.57 |
M = 8.34 |
SS = 901.34 |
SS = 794.34 |
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Step 1. State hypotheses and alpha level. |
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Step 2. Locate critical region. |
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Step 3. Collect data and calculate test statistic. |
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- A psychologist was interested in the effects of time of day on critical thinking. Participants were randomly assigned to one of three groups (Morning, Afternoon, or Night) and given a measure to test for the number of answers correct on a critical thinking ability test. The following data were obtained from the study. Morning Afternoon Night 4 3 8 3 1 4 5 3 6 4 1 6 What would be the reasonable alternative hypothesis for this study?A study was conducted simultaneously in two different communities in New York City to examine an association between variable A and variable B. The resulting analysis yielded two different p-value in the two communities? Study in Community A yielded a p-value of 0.01.Study in Community B yielded a p-value of 0.05. Which of the above values provides a stronger indictment of the null hypothesis? A. 0.01B. 0.05A professor at the University of Wisconsin is interested in studying the relationship between officer’s gender and citizen complaints. The professor gathered information on 55 officers randomly sampled from the Chicago Police Department. Using the data collected below apply the five steps of the hypothesis testing process to answer the research question: is there a relationship between gender and citizen complaints. Use a two-tailed test with an alpha level of 0.05 Male Officers Female Officer n = 35 n = 20 M = 10.57 M = 8.34 SS = 901.34 SS = 794.34 Based on your decision regarding step 4 above what type of error might you be making Compute the 95% confidence interval for mean difference
- For a sample of 400 correctional officers at Lucasville State Prison, a researcher believes there is a relationship between “years on the job” and “willingness to help raise money for adult charities.” Using the following data, test the null hypothesis at the .01 level of significance that willingness to help raise donations does not differ by length of service as a correctional officer. In so doing, identify: (1) the research and null hypothesis, (2) the critical value needed to reject the null, (3) the decision that you made upon analyzing the data, and (4) the conclusion you have drawn based on the decision you have made.The National Sleep Foundation conducted a survey on the sleep habits of randomly sampled transportation workers and a control sample of non-transportation workers. The results of the survey are shown below. Control Pilots Truck Drivers Train Operators Bus/Taxi/Limo Drivers Less than 6 hours of sleep 35 19 35 29 21 6 to 8 hours of sleep 193 132 117 119 131 More than 8 hours 64 51 51 32 58 Total 292 202 203 180 210 Conduct a hypothesis test to evaluate if these data provide evidence of a difference between the proportions of truck drivers and non-transportation workers (the control group) who get less than 6 hours of sleep per day, i.e. are considered sleep deprived.iPad Kindle 9 10 5 9 8 10 7 9 8 12 9 10 11 10 11 Consumer Reports would like to conduct a hypothesis test to determine if the average battery life for an iPad is different from the average life for a Kindle Fire. The data provided here represent the battery life from a random sample of iPads and Kindle Fires in hours. (a) Conduct a two-sample t test to test if the average battery life for an iPad is different from the average life for a Kindle Fire. Provide the output below starting at the Yellow highlighted cell. Use 1% significance level. (b) Compute a 99% confidence interval for the difference in the average battery life for an iPad and the average life for a Kindle Fire. Provide your final anwers in the yellow highlighted cells below. ( Keep 3 or more decimal places) Show your work below those cells. Upper= Lower=
- Independent random samples of 32 people living on the west side of a city and 30 people living on the east side of a city were taken to determine if the income levels of west side residents are significantly different from the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are significantly different from the income levels of east side residents, at the 2% significance level. H0:μw=μeHa:μw≠μe t0=2.364 t0.01=±2.099 Select the correct answer below: No; the test statistic is not between the critical values. No; the test statistic is between the critical values. Yes; the test statistic is not between the critical values. Yes; the test statistic is between the critical values.. The term sample usually refers to a sample that ___ - Consists of people with chemical dependency problems - Uses the same group of individuals with a before/after measurement - Requires a dependent variable for hypothesis testing - Is randomly selected from two dependent populationsIn a study of 786 randomly selected medical malpractice lawsuits, it was found that 484 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p≠0.5 H1: p=0.5 B. H0: p=0.5 H1: p≠0.5 C. H0: p=0.5 H1: p>0.5 D. H0: p<0.5 H1: p=0.5 E. H0: p>0.5 H1: p=0.5 F. H0: p=0.5 H1: p<0.5 What is the test statistic? z= (Round to two decimal places as needed.) What is the P-value? P-value=
- Given a sample of 50 observations with a Pearson's r correlation coefficient of 0.8, what is the p-value for a two-tailed hypothesis test with a significance level of 0.05?Over the past few decades, public health officials have examined the link between weight concerns and teen girls’ smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three said they smoked to stay thin. Is there good evidence that more than thirty percent of the teen girls smoke to stay thin? Solve the following problems using the steps in conducting hypothesis tests.Independent random samples of 31 people living on the west side of a city and 25 people living on the east side of a city were taken to determine if the income levels of west side residents are greater than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are greater than the income levels of east side residents, at the 2% significance level. H0:μw≤μeHa:μw>μe t0=0.511 t0.02=2.104 Select the correct answer below: Yes; the test statistic is greater than the critical value. No; the test statistic is greater than the critical value. No; the test statistic is less than the critical value. Yes; the test statistic is less than the critical value.