Complete the following hypothesis test. Ho:o2 = 4.93 %3D Ha:o? + 4.93 (Claim) s = 6.27 , a= 0.01 and n = 11 Find a. The Critical Values X and X %3D %3D b. The Test Statistic x %3D
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- In a local community past data shows that 17% of the residents own a skateboard, and the city is considering building more green lanes to accommodate these skate boarders as a recent survey showed that 63 out of 270 people supported the concept of more green lanes on the city's streets. a) State the null and alternative hypothesis. b) Find a Z and P-value, and state your conclusion using alpha = 5% c) Re-do part (b) using the Chi-square test, also stating your conclusion using alpha = 5%A company specializes in producing bunkers located in places with extremely cold climates under 0°C. A prototype for a new bunker design using different structure design and materials was tested to have the following average interior temperatures: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05. a.What are the hypothesis statements?Suppose that you performed the following hypothesis test: H subscript O colon space p subscript 1 equals 0.4 semicolon space p subscript 2 equals 0.25 semicolon space p subscript 3 equals space 0.35H subscript A colon space NOT thin space H subscript O and that you got a Test Statistic (TS) that. yielded a PValue (PV) = 0.045. If you ran this hypothesis test with a value of alpha = 0.05, which of the following choices gives the correct Decision and Conclusion? A. Since the PV is less than alpha, I Fail to Reject the Null hypothesis and conclude that at least two of the population proportions are significantly different from their null-hypothesized values. B. Since the PV is less than alpha, I Reject the Null hypothesis and conclude that the population proportions are NOT significantly different from their null-hypothesized values. C. Since the PV is less than alpha, I Reject the Null hypothesis and conclude that at least two of the population proportions are significantly different…
- .A sample of 9 measurements, randomly selected from a normally distributed population, resulted in x= 2.6, and s= 0.9 Conduct a hypothesis test to verify the claim that the population mean is greater than 2.5 . Use a=.05Data from the 2014 General Social Survey (GSS) show that out of n=1,606 adult respondents, the proportion who reported having voted for Barack Obama in the 2008 presidential election was 0.61 Q: If I calculate a z test static of 4.84, and my alpha = 0.05, what decision should I make about the hypothesis? (Calculate the p-value for a 2-sided test to make your decision.) Options: A: fail to reject the null hypothesis that the proportion of American adults who voted for Obama in 2008 was 0.55 B: reject the null hypothesis that the proportion of American adults who voted for Obama in 2008 was 0.55 C: Reject the alternative hypothesis that the proportion of American Adults who voted for Obama in 2008 was not equal to 0.55 D: Fail to reject the alternative hypothesis that the proportion of American adults who voted for Obama in 2008 was not equal to 0.55The test statistic of z = 2.22 is obtained when testing the claim that p ne0.492. a . Identify the hypothesis test as being two-tailed, left-tailed, or right- tailed b. Find the P-value. c . Using a significance level of alpha = 0.01 , should we reject H_{0} or should we fail to reject H_{0} ?
- Consider the following null and alternative hypotheses. Ho : μ =20 Ha : μ > 20 At α = 0.025, what is the appropriate rejection region if z-test is to be used? z ≥1.69 z > 1.69 z >1.96 z ≥1.96About half of the police officers in Baltimore, Maryland, have completed a special course in community policing. As Captain of your division, you want to know if the course increased calls from the minority community for assistance from your precinct. Below is the results of before and after training in proportions for calls from the minority community in your precinct. Be sure and state whether you accept or reject the null hypothesis. Alpha is 0.05 for setting your Z critical value. After Training Before training Ps1 = 0.47 Ps2 = 0.43 N1 = 157 N2 = 113A researcher is testing a two-tailed null hypothesis at the p < .01 level with df = 48. What critical value would she or he use? Justify your answer.
- In the tt-test of significance for the hypotheses H0:μ=11 and Ha:μ<11, the value of the test statistic was found to be t = 1.205 using a sample of size 18. Estimate the upper bound for the P-value associated with this test. That is, fill in the blank P <P< _____. Please show work!Match the p-values with the appropriate conclusion: I. 0.00001 II. 0.0189 III. 0.0611 IV. 0.4234(a) The evidence against the null hypothesis is significant, but only at the 10% level. (b) The evidence against the null and in favor of the alternative is very strong. (c) There is not enough evidence to reject the null hypothesis, even at the 10% level. (d) The result is significant at a 5% level but not at a 1% level.The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5?State the appropriate null and alternative hypotheses. H0: ? = 5.5Ha: ? ≠ 5.5H0: ? = 5.5Ha: ? ≥ 5.5 H0: ? = 5.5Ha: ? < 5.5H0: ? = 5.5Ha: ? > 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.Reject the null hypothesis. There is sufficient evidence…