26. A researcher compared the time (in seconds) that children in two classrooms remained seated during a behavioral task. The null hypothesis is that the two classrooms will not differ. She reports a 95% Cl = -2.1 to 32.6 seconds. What would the decision have been
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- A Verizon researcher compared the number of text messages sent by a sample of teenage boys to the population mean for all Verizon users. She found no evidence to conclude that there was a difference. Unfortunately, her conclusion was in error. (a) What type of error did she make? (b) What conclusion should she have reached?GSS 2018 respondents were asked to rate their level of agreement to the statement, “Differences in income in America are too large.” Responses were measured on a 5-point scale: 1 = strongly agree, 2 = agree, 3 = neutral, 4 = disagree, and 5 = strongly disagree. Strong Democrats had an average score of 1.69 (s = 1.04, N = 86) while strong Republicans had an average score of 2.11 (s = 1.05, N = 67). The estimated standard error of the difference between meansis 0.17. What is the appropriate test statistic? Why? Test the null hypothesis with a one-tailed test (strong Democrats are more likely to agree with the statement than strong Republicans); α = .05. What do you conclude about the difference in attitudes for these two political groups? If you conducted a two-tailed test with α = .05, would your decision have been different?In a recent poll six hundred adults were asked a series of questions about the state ofthe economy and their children’s future. One question was, “do you expect your children to have a better life than you have had, a worse life, or a life about the same asyours?” The responses showed 242 better, 310 worse, and 48 about the same. Use thesign test and a =.05 to determine whether there is a difference between the number ofadults who feel their children will have a better life compared to a worse life. What isyour conclusion?
- C, D, GConsider a medical test with a false positive rate of 1% and a false negative rate of 2%. The frequency of the condition in people who take this test is 3% Q4. If this test was given to 100,000 healthy people, how many false diagnoses would there be? Q5. What is the overall percentage of people who test "positive" who are actually negative for the condition? Q6. What is the overall percentage of people who test "negative" who are actually positive for the condition? # wrong diag. = ??? % pos. = ??? % % pos. = ??? %A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n=5 in each sample. One group gets no drug, one group gets s small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below. No drug Small dose Large dose 5, 3 , 1 , 1 , 5 5, 5, 9, 6, 5 10, 12, 9, 6, 8 =3, SS=16 =6, SS=12 =9, SS=20 Do these data indicate any significant differences among the three groups? Test with α=0.05. Compute the effect size and interpret the result.
- What stats test should be used to solve the following? A positive psychologist compares whether levels of gratitude in a random sample of n = 50 students at her college (M = 40) differ from the mean of college students across the US (μ = 45). A sports psychologist tested the reaction time of 320 college athletes. She found their average reaction time in a controlled task to be .77 seconds (s = 21). She wondered if the college athletes had faster reactions times than college students on average, who typically reacted in 1.23 seconds. A school psychologist obtained a sample of 120 fourth-grade kids who engaged in remote learning only during the COVID-19 pandemic. She found their average anxiety score to be M = 168. He compared that mean to the average anxiety score of fourth-grade children before the pandemic, which was μ = 144, with a ?=12σ=12. Did the sample of kids engaged in remote learning have a significantly different level of anxiety?Express the alternative hypothesis in symbolic form. A psychologist claims that the mean amount of time (in hours) that females spend in talk therapy is more than that of men. Assume that two samples are independent. Let the female talk therapy times be the first population and the male talk therapy times be the second population.Can a person train to become better at holding their breath? An experiment was designed to find out. Twelve volunteers were randomly assigned to 1 of 2 groups. The 6 volunteers assigned to group 1 were given breath-holding exercises to perform for 2 weeks. The other group was not given any information about the experiment. At the end of the 2 weeks, all 12 volunteers were individually tested to determine how long they could hold their breath. Here are the data (in seconds). Group 1: 90, 88, 70, 110, 75, 105 Group 2: 40, 48, 35, 50, 55, 62 The researcher would like to determine if these data provide convincing evidence that the true mean amount of time volunteers who were given training held their breath is greater than volunteers without training. Let ₁ = the true mean amount of time that volunteers who were given training held their breath and ₂ = the true mean amount of time that volunteers without training held their breath. What are the appropriate hypotheses? Ho: U1 - U2 = 0, Ha:…
- A research study wanted to examine whether religious belief and gender are related in their state. They selected a representative sample of men and women in their State.Select the null and alternative hypothesis of the test: H0: there is no relationship between gender and belief about human originsHa: there is a relationship between gender and belief about human origins H0: there is a relationship between gender and belief about human originsHa: there is no relationship between gender and belief about human origins Results of the study are summarized in this table for the Belief about human origins: religious texts evolutionary theory total male 30 36 66 female 110 89 199 total 140 125 265 The degrees of freedom for the the ?2 statistic are Round the following numbers to two places after the decimal:The test statistic is ?2 = with a p-value = The conclusion of the test at the 5% significance level is There is not enough statistical evidence to suggest that gender…i.20% of the response times are longer than how many minutes? iI.Find the IQR of the response times. Suppose that another “major city” claimed that its police force response times followed a normal model with a mean of 8 minutes. What is the SD of this model if 95% of the response times were at most 12 minutes? Show all steps in your solution.The wrong alternative. One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average, 6 days. Your friend starts with no expectations as to whether drinking coffee will have any effect on cold duration. After seeing the results of the experiment, in which the average cold duration was less than 6 days, your friend tests a one-sided alternative about the population mean cold duration when drinking coffee, H0: lcoffee = 6 На: Which gives a one-sided P value P = 0.0465. Explain why your friend should have used a two-sided hypothesis. Hcoffee < 6