A group of teenagers is chosen randomly and asked which of three indoor activities they preferred. Of the 126 teenagers, 36 preferred listening to music, 16 preferred reading, and the rest preferred going online or playing video games. Do these responses indicate a preference among teenagers in general? Write the null and alternative hypotheses in words.
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- Researchers wish to study the effect of daily brain teasers on a person's intelligence. The researchers randomly choose 20 students from their local college campus. Day one of the test, every student is given an IQ test. The students are then randomly divided into Group A and Group B (10 students each). Group A is given daily brain teasers, while Group B were not instructed to participate in anything outside their normal routine. At the end of a 30 day period, each member of the group takes an IQ test. The students are aware of what group they are in, but the researchers have no idea until the results are given. The test given to Group A would be considered the Control Treatment Variable PlaceboPamela, and educational psychologist, is interested in assessing whether there are differences in how college students with different majors might respond to an ethical dilemma. To this end, she performed a study in which undergraduate marketing and finance majors were asked what they would do if they found a $100 bill in a Walton College of Business classroom. Specifically, would they turn in the $100 bill to the Walton College of Business lost and found? Of the 69 marketing majors who were randomly sampled, 52 said yes and of the 131 finance majors who were randomly sampled, 120 said yes (assume alpha equals .05). z-Test: Two Sample for Means t-Test: Two-Sample Assming Equal Variances Marketing Finance Marketing Finance Меan 0.75362 0.91603 Меan 0.75362 0.91603 Known Variance 0.43 0.28 Variance 0.18841 0.07751 Observations 69 131 Observations 69 131 Hypothesized Mean Difference Pooled Variance 0.1156 -1.7753 Hypothesized Mean DifferenCE z P(Z<-z) one-tail z Critical one-tail P(Z<-z)…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?
- In the past, 74% of the tourists who visited Chattanooga went to see Rock City. The management of Rock City recently undertook an extensive promotional campaign. They are interested in determining whether the promotional campaign actually increased the proportion of tourists visiting Rock City. Which of the following is the correct set of hypotheses? Ho: p 0.74 Ha: ps 0.74 O Ho: Ps 0.74 Ha: p > 0.74A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for wives and husbands. Conduct a hypothesis test at the 5% level to see if wife's satisfaction levels are lower than their husband's satisfaction level (meaning that, within the partnership, the husband is happier than the wife). Wife's score 3 2 3 3 4 2 1 1 2 4 Husband's score 2 2 1 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: ?d = 0 H0: ?d > 0 H0: ?d < 0 H0: ?d ≠ 0 Part (b) State the alternative hypothesis. Ha: ?d > 0 Ha:…
- A research paper describes an experiment in which 74 men were assigned at random to one of four treatments. 1. viewed slides of fit, muscular men 2. viewed slides of fit, muscular men accompanied by diet and fitness-related text 3. viewed slides of fit, muscular men accompanied by text not related to diet and fitness 4. did not view any slides The participants then went to a room to complete a questionnaire. In this room, bowls of pretzels were set out on the tables. A research assistant noted how many pretzels were consumed by each participant while completing the questionnaire. Data consistent with summary quantities given in the paper are given in the following table. Treatment 1 9 6 4 13 1 2 5 9 12 5 2 0 7 4 10 6 0 11 Treatment 2 Treatment 3 7 8 0 3 9 8 7 1 6 8 8 5 13 9 0 7 4 11 5 7 10 8 7 1 10 2 5 1 0 3 0 3 4 4 5 5 6 8 4 0 7 3 Treatment 4 5 2 5 7 5 2 0 0 4 3 2 3 1 1 Do these data provide convincing evidence that the means for the numbers of pretzels consumed are not the same for…A group of 100 BSSE girls from Riphah were selected to participate in a survey conducted by HEC to assess the satisfaction of students with online studies provided by the university. 48 % of the girls were high scorers while the rest were average scorers. 51 girls showed a lack of satisfaction with the studies including only 9 high scorers. Construct a 2 way cross tabulation and answer the following questions a. If a randomly selected student is an average score what is the probability that she would be satisfied with the studies b. What is the probability that a randomly picked student is a high scorer not satisfied with the studies c. What is the probability that a randomly picked students who is satisfied with the studies is a high-scorer girlA 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 89 people were asked the voter registration question face to face. Of those sampled, seventy-five respondents gave accurate answers (as verified by city records). Another random sample of 88 people were asked the same question during a telephone interview. Of those sampled, seventy-two respondents gave accurate answers. Assume the samples are representative of the general population. (a) Categorize the problem below according to parameter being estimated, proportion p, mean ?, difference of means ?1 – ?2, or difference of proportions p1 – p2. Then solve the problem. p p1 – p2 ? ?1 – ?2 (b) Let p1 be the population proportion of all people who answer the voter registration question accurately during a face-to-face interview. Let p2 be the…
- The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 267 college graduates surveyed, 106 chose the response "Very important." Of the 113 people surveyed whose highest level of education was high school or less, 59 chose the response "Very important." Based on these data, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p1 of all U.S. college graduates who would answer "Very important" and the proportion p2 of all U.S. adults whose highest level of education was high school or less who would answer "Very important"?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) A. Find the value of the test statistic and round to…Participants in an experiment are asked to flip a fair coin and report the outcome. If they report H, they receive $10. If they report T, they receive $O. The experimenter observes that 70% of 1000 reports are H. How does this experiment provide evidence against or in favour of lying aversion? Please answer in at most three sentences.