The test statistic of z=−2.07 is obtained when testing the claim that p<0.85. a. Using a significance level of α=0.05, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?
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- produce a CROSSTAB for the variables SEX and FEFAM. Examine the relationship between these variables 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 explaining in full sentences whether there is a statistically significant relationship or not and the strength of the relationship. Also explain any patterns you see in the percentages:Thomas is wanting to know if the amount of time students who got an A studied on their final last term is different than the typical 4 hours. To find out he surveys the students. His hypotheses are: H0:μ=4hr Ha:μ≠4hr He calcullates the average. His latest tesst statistic is 2.27, and his P-value is 0.0232. Using a significance level of α=5 Reject H0 μ is different than 4 hours. Accept Ha μ is not different than 4 hours. Fail to reject H0 μ is different than 4 hours. Accept Ha μ is different than 4 hours.Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=98.34, y=100.45, r=0.940, P-value=0.000, and y=−3.86+1.06x, where x represents the IQ score of the twin born second. Find the best-predicted value of y given that the twin born second has an IQ of 103? Use a significance level of 0.05.
- A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x, be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x, be the empathy score of a father. A random sample of 35 mothers gave a sample mean of x, = 69.38. Another random sample of 34 fathers gave x, = 57.34. Assume that o, = 11.27 and o, = 11.17. (a) Let u, be the population mean of x, and let u, be the population mean of x,. Find a 99% confidence interval for u, - µz. (Round your answers to two decimal places.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% confidence level? O Because the interval contains…According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9 kg of CO2. A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Here are their hypotheses: Ho: = 8.9 kg Ha:H< 8.9 kg (where u is the mean amount of CO2 emitted by burning one gallon of this new gasoline). Under which of the following conditions would the company commit a Type I error?Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x=96.33, y=96.15, r=0.963, P-value=0.000, and y=−23.76+1.24x, where x represents the IQ score of the younger child. Find the best predicted value of y given that the younger child has an IQ of 100? Use a significance level of 0.05. LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is nothing. (Round to two decimal places as needed.)
- . Differences of electric potential occur naturally from point to point on a body’s skin. Researchers used newts to determine if changing the electric field reduces the mean healing rate for all newts. The researchers found in a sample of 14 newts the following data results: ?̅= −5.714 with sd = 10.564. Conduct a paired t-test at α = .01 to determine if there is sufficient evidence to conclude that changing the electric field reduces the mean healing rate for all newts.Cindy is a server at a local restaurant who makes, on average, $58 in tips per daytime shift. Cindy thinks she will make more if she moves to the nighttime shift. Her manager will choose five random nighttime shifts for Cindy to work. Cindy plans to conduct a significance test on the hypotheses H0: mu = 58; Ha: mu > 58 at the alpha = 0.05 level, where is the true mean amount of tips Cindy will make working nighttime shifts. Are the conditions for performing the test met? No, the 10% condition is not met. No, the sample size is too small, and a Normal distribution cannot be assumed. Yes, all conditions are met for performing a significance test about the mean. Yes, only the random condition must be met in order to perform a significance test. No, there is no way the manager could choose a random sample of shifts to work.An automobile manufacturer claims that a particular model car averages 24 miles per gallon. A consumer group feels that the company is overestimating the mean miles per gallon and asks the Consumer Protection Agency to investigate. The CPA plans to take a random sample of 30 cars of this model, find the mean miles per gallon for these cars, and conduct a test to determine whether the mean is significantly less than 24 mpg. The hypotheses for the test are: H₀: µ=24 and Ha: µ < 24.State and describe the Type 1 and 2 errors.
- The following data are heights (in.) of fathers and their first sons from the data "Family Heights", from a journal kept by Francis Galton: n = 10, xa the claim that there is no difference in heights between fathers and their first sons. = 0.02, sa = 1.86. Use a 0.05 significance level to testThe test statistic of z = 1.42 is obtained when testing the claim that p>0.1. A.identify the phyothesis test as being two-tailed, left-tailed, or right-tailed. B.find the p-value. C. Using a significance level of o=0.05, should we reject H0 or should we fail to reject H0?Suppose data is collected to predict y from x. If the size of Sample ✓ Calculate the p-value if the test statistic is t = -1.38