. What is the test statistic of this test? (a) -0.02 (b) 0.02 (c) 2.46 (d) -2.46 (e) None of the above
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Foreign freshmen are required to take an English placement exam. Over the past several years, 20% of the new students have failed the test and have been placed in remedial classes. In a sample of n = 100 students
from this year’s class, only 12 failed the test.
One proportion z test compares the difference between sample proportion and population proportion. And the formula of test statistic is given by
Where,
is sample proportion
p is the population proportion
n is the sample size
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- Sleep or Caffeine for Memory? Caffeine is often used by adults to replace the need for sleep and to benefit alertness. One study compares students’ ability to recall memorized information after either the consumption of caffeine or a brief sleep. A random sample of 24 adults (between the ages of 18 and 39) were randomly divided into two groups of 12 and verbally given a list of 24 words to memorize. During a break, one of the groups takes a nap for an hour and a half and the other group is kept awake and then given a caffeine pill an hour prior to testing. The response variable of interest is the number of words participants are able to recall following the break. For the sleep group, x1 = 15.25 with n = 12, and for the caffeine group, x2 = 12.25 with n = 12. We are interested in testing whether there is evidence of a difference in average recall ability between the two treatments. (a) Define the relevant parameters and state the null and alternative hypothesis. (b) Using StatKey,…A study considered the question, “Are you a registered voter?” Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 93 people were asked the voter registration question face-to-face. Seventy-nine respondents gave accurate answers. Another random sample of 83 people was asked the same question during a telephone interview. Seventy-four respondents gave accurate answers. Assume that the samples are representative of the general population. Test the claim that there is a difference in the proportion of accurate responses from face-to-face compared with telephone interviews. Use alpha=.05 What is the null hypothesis? What is the alternative hypothesis? What distribution are you using? What test are you running? What is your conclusion?A researcher wants to conduct an experiment to determine which environment is best suited for studying - a library, in one's own room, or outside. A total of 30 university students volunteer to participate in the experiment. The researcher believes that gender has an effect on the results. What are the treatments in the experiment?
- Help with this whole problemDoes grade level matter regarding having a drink of coffee before going to school? To get some insight relating to this question, Professor Jay randomly selected nm = 1142 New York City high school freshmen. Of these, xm = 803 said they had at least one cup of coffee before going to school. Professor Jay also randomly selected nf = 1012 New York City high school seniors. Of these, xf = 760 said they had at least one cup of coffee before going to school. Suppose Pm is the true proportion of New York City high school freshmen who have a drink of coffee before going to school. Suppose pf is the true proportion of New York City high school seniors who have a drink of coffee before going to school. Pm and pf are unknown and we will examine relations between them based upon Professor Jay's samples. Let pmhat be the sample proportion of high school freshmen who said they had at least one cup of coffee before going to school. Let pfhat be the sample proportion of high school seniors who said…Es A census of all the 12,475 current students at the local community college showed that 56.5% want to transfer to a university, their average age is 21.7 years, and 60 of them are pursuing degrees in mathematics. In order to attract more students, the math department organized an "Opportunities in Mathematics" fair for current students of the college. A total of 267 students from those who attended responded to a poll. The poll showed that 83% of those who answered want to transfer to a university, the average poll respondent was 22.3 years old, and 77 them were interested in pursuing a degree in mathematics. (a) For the math fair poll, identify the population and the sample. Population: (Choose one) Sample: (Choose one) (b) Choose whether each number described below is a parameter or a statistic for the math fair poll. Number Parameter Statistic The 60 students pursuing a math degree among all the current students at the community college The 56.5% of all current students at the…
- A high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 meter race. The coach split the 26 boys into two equal sized groups, where Group 1 was given the energy drink and Group 2 was not. The 100 meter race times were recorded during practice and shown in the table below. What inference can be made about the results? Group 1 Group 2 12.2 13 12.5 12.3 13.3 12.8 12.9 13 13 13.8 12.1 13 13 13 13 13 12.1 13 13 13 12.1 13 12.8 13 13 12.6 Mean: 12.7 Mean: 13 Since the simulation shows ( many cases or free cases )? where a mean difference of ( solve for this answer ) or less occurred when the groups were re-randomized, it can be inferred that the mean difference observed in the study was ( very possibly or very unlikely ) ?due to the random assignment of participants into groups, so the results of the study are (…Snoqualmie” is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table. Members Living More Than 25 Miles from the Waterfall Members Living Less Than 25 Miles from the Waterfall Total Low 25 17 42 Medium 8 21 29 High 5 12 17 Total 38 50 88 If the distributions of ratings are the same for those Snoqualmie members living less than 25 miles from the waterfall and those living more than 25 miles from the waterfall, which of the following is equal to the expected count of members living less than 25 miles from the…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…
- A study was performed to test eyewitness accuracy. Ten pairs of participants entered a room believing they would be participating in a gambling experiment. Each participant was given $10 in coins to play poker with. The participants were randomly seated near the door or away from the door. After 15 minutes, an actor dressed in street clothes burst into the room and stole the money from the participant near the door. The “thief” was later caught, and both participants (the victim and the witness) were asked to identify him in a line-up. Eyewitness accuracies from the participants were then compared. The ten victims reported a mean accuracy of 31.5 (SD = 21). The witnesses had a mean accuracy of 52.2 (SD = 19.5). Was there a difference? What was the effect size of eyewitness accuracy? Show the nul and alternative hypthoesis, aplhpa level 0.05 and test the null hypothtesis and draw the rejctin line, conclusion and effect sizeMm2A psychologist wanta to determine the effect of relaxing music on a person's reaction to a stressful event. Participants were randomly assigned to one of three groups. A participant was brought into a room with no windows and only one door. In the background, either soft classical music, or no music at all was playing. After a set amount of time, a fire alarm went off, and smoke started to come from under the door. A hidden video camera records the participants behavior that is later scored by the experimenter for level of panic from 0-100. Which statistical test would be best to determine if there is a significant difference between groups? One sample t test Dependent samples t test Independent t test ANOVA