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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- Only about 15% of all people can wiggle their ears. Is this percent different for millionaires? Of the 726 millionaires surveyed, 137 could wiggle their ears. What can be concluded at the 0.05 level of significance? H0: p = 0.15 Ha: p [ Select ] [">", "Not Equal To", "<"] 0.15 Test statistic: [ Select ] ["Z", "T"] p-Value = [ Select ] ["0.07", "0.007", "0.14", "0.004"] [ Select ] ["Fail To Reject Ho", "Reject Ho"] Conclusion: There is [ Select ] ["statistically significant", "insufficient"] evidence to make the conclusion that the population proportion of all millionaires who can wiggle their ears is not equal to 0.15. I NEED THE LAST THREE.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?Use 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. Choose the correct answer below. O A. Since the P-value is less than a, reject the null hypothesis. OB. Since the P-value is greater than x, fail to reject the null hypothesis. OC. Since the P-value is less than a, fail to reject the null hypothesis. OD. Since the P-value is greater than a, reject the null hypothesis. ... Z-Test Z-Test Inpt: Data Statsu #50 Ho:50 6:5.75 X:48.75 n:35 H:Ho Ho Ho > Calculate Draw z = -1.2861043 p=0.19840666 x = 48.75 n = 35
- A state biologist is investigating whether the proportion of frogs in a certain area that are bullfrogs has increased in the past ten years. The proportion ten years ago was estimated to be 0.20. From a recent random sample of 150 frogs in the area, 36 are bullfrogs. The biologist will conduct a test of Ho : p= 0.20 versus Ha :p> 0.20. Which of the following is the test statistic for the appropriate test? 0.20 0.24 A (0.24)(0.76) 0.20-0.24 (0.20)(0.80) 0.24 0.20 (0.24)(0.76) 0.24 0.20 (0.20)(0.80) 0.24 0.20 (0.20)(0.80)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.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.Compute the value of the test statistic and conclude.Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H= 8 ppb; H,: H > 8 ppb O Ho: H 8 ppb; H: H = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The Student's t, since the sample size is large and a is unknown. What is…
- Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Họ: u = 8 ppb; H,: u > 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and a is unknown. What is the…Use 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 = 0.10. Choose the correct answer below. O A. Since the P-value is less than a, fail to reject the null hypothesis. O B. Since the P-value is greater than x, reject the null hypothesis. O C. Since the P-value is greater than x, fail to reject the null hypothesis. O D. Since the P-value is less than a, reject the null hypothesis. -C Z-Test Z-Test Inpt: Data Statsu #80 Ho:80 0:5.75 x:78.75 n:35 #μο μο Calculate Draw z 1.2861043 p=0.19840666 x = 78.75 n=35Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 8 ppb; H,: u > 8 ppb O Ho: H = 8 ppb; H,: H + 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb O Ho: H = 8 ppb; H,: µ 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.005 < P-value < 0.010 P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro esc