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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- Which of the following values results from the use of a statistical test? 1. The critical value 2. The obtained value 3. Type I error 4. Type II errorUse the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α=0.01. (View the image for the displays) The correct answer is.. A. Since the P-value is greater than α, fail to reject the null hypothesis. B. Since the P-value is greater than α, reject the null hypothesis. C. Since the P-value is less than α, fail to reject the null hypothesis. D. Since the P-value is less than α, reject the null hypothesis.A population of n=7 scores has a mean of u=13. What is the value of EX for this population?
- The mean salary of federal government employees on the general schedule is $59,593. The average salary of 30 state employees who do the similar work is $ 58,800 with α =$1500. At the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees?How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 75 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: X ̅= 63, S = 22. Suppose you are interested in determining whether there is evidence that the mean number of tissues used during a cold is less than 75. state the correct decision rule for α = 0.05.Compute the value of the test statistic and conclude.
- 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.D Listed below are the overhead widths (in cm) of seals measured from photographs and the weights of the seals (in kg). The purpose of the study was to determine if weights of seals could be determined from overhead photographs. Is there sufficient evidence to conclude that there is a correlation between overhead widths and the weights of the seals? Use a significance level of α=0.10. Overhead width (cm) Weight (kg) Click the icon to view the critical values of Spearman's rank correlation coefficient. Ho: Ps H₁: Ps Determine r Determine the null and alternative hypotheses. ▼ A₂ 7.6 141 Ts=(Round to three decimal places as needed.) 7.1 9.5 7.8 8.4 9.1 110 154 170 232 177 Determine the critical values. Critical values are DELL Next 11:25 AM 4/9/2023A 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…
- d. At α=0.05,give the appropriate conclusion. Choose the correct answer below. A. Reject the null hypothesis. There isinsufficientevidence at the α=0.05 level of significance to conclude that the true mean level of support for sustainability is equal 66. B.Do not reject the null hypothesis. There is sufficientevidence at the α=0.05level of significance to conclude that the true mean level of support for sustainability is not equal to 66. C.Reject the null hypothesis. There is sufficientevidence at the α=0.05level of significance to conclude that the true mean level of support for sustainability is not equal to 66. D. Do not reject the null hypothesis. There is sufficientevidence at the α=0.05 level of significance to conclude that the true mean level of support for sustainability is greater than 66.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?The claim that the proportion of accidental deaths of the ederly attribute to resident falls is more than 0.20, and the sample statistics include 60 deaths of the ederly with 15% of them attributable to resident falls. find the value of the test statistic z.