Calculate the Cramer's V and interpret the result.
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- For Cramer’s V, values close to 0 indicate a strong association.Gaben wants to investigate first if gender is associated with whether the student exhibits excessive hours in playing online games. In his research, a student is said to exhibit excessive gaming if he/she plays for more than 10 hours per week. The following results were obtained. The assumptions of the Chi-square test of independence were __________. Based on the p-value of _______, there is ___________ evidence to say that there is an association between whether the student exhibits excessive gaming or not and his/her gender. Moreover, the Cramer’s V value of _____________ indicates that there is a _________________ association between the two variables.Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 55 clam shells in February and 55 clam shells in March. 14 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months; specifically, if the population proportion in February is higher than March. Let ? = 0.1.Note: Do all calculations as February - MarchA) The point estimate for the true difference in proportion of dark growth bands between February and March is: Note: answer using 4 decimal precisionB) The test statistic, ztest, is: Note: answer using 2 decimal…
- State the properties of the Bassel function.Produce a CROSSTAB for the variables CLASS and RECYCLE. Before conducting your analysis, first reverse code SATJOB so that 1 = Very Dissatisfied; 2=Moderately Dissatisfied; 3=Moderately Satisfied; and 4=Very satisfied. Set all other values (8, 9) to system missing. Then examine the relationship between social class and job satisfaction by testing both statistical significance and strength of association. Use chi-square for significance and choose the appropriate measures for strength of association (Phi, Cramer’s V, Lambda, or Gamma). Set alpha to .05. State the null and research hypotheses: H0: H1: What is the obtained chi-square value? What is the significance level (p-value) for the obtained chi-square? Should we reject or fail to reject the null hypothesis? Is there a statistically significant relationship between these variables? Which measure of association would be most appropriate for these variables? What is the value of the measure of association? Interpret your findings by…A panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in this study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. ******In the sample, 6 of the 30 patients assigned to Brand A were found to have a cavity. The fraction 6/30 should be denoted by which of the following? μ x̄ p p̂ n s σ χ²
- Of all customers purchasing automatic garage door openers, 75% purchase chain-driven model. Let X = the number among the next 15 purchasers who select the chain-driven model.a. What is the frequency function (pmf) of X?b. Compute P(X > 10).c. Compute P( 6 ≤ X ≤ 10).d. Compute µ and σ2e. If the store currently has in stock 10 chain-driven models and 8 shaft-driven models, what is the probability that at least 7 out of the 15 customers select a chain-driven model from this stock?A panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in the study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. What method of data collection was used? Select one: a.Experiment b.Observational StudyA panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in the study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. To test for significance of their findings, which of the following should the dentists use? Select one: a.Paired t-test b.One-sample t-test for a mean c.Linear Regression d.One-sample Z-test for a proportion e.Chi-Square test for independence f.Two-Sample t-test g.One-sample Z-test for a mean
- A 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. A 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. Among 257 trials, the touch therapists were correct 105 times. Use a 0.01 significance level to test the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists are effective?A study was conducted to investigate effects of physical training. Sample data from ten subjects are listed below, with all weights given in kilograms. (See “Effect of Endurance Training on Possible Determinants of VO2 During Heavy Exercise,” by Casaburi et al., Journal of Applied Physiology, Vol. 62, No. 1.)a. Is there sufficient evidence to conclude that there is a difference between the pre-training and post-training weights? What do you conclude about the effect of training on weight?b. Construct a 95% confidence interval for the mean of the differences between pre-training and post-training weights.Pre-training: 99 57 62 69 74 77 59 92 70 85Post-training: 94 57 62 69 66 76 58 88 70 84An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table. y p(x, y) 0 5 10 15 x 0 0.01 0.06 0.02 0.10 5 0.04 0.16 0.20 0.10 10 0.01 0.15 0.14 0.01 (a) Compute the covariance for X and Y. (Round your answer to two decimal places.)Cov(X, Y) = (b) Compute ρ for X and Y. (Round your answer to two decimal places.)ρ =