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- Assume that last year in a particular state there were 211 children out of 1990 who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. It is believed that the incident of ASD is more common in that state than nationally. Calculate a 96% confidence interval for the percentage of children in that state diagnosed with ASD.P: Parameter What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? A: Assumptions Since information was collected from each object, what conditions do we need to check? Check all that apply. n≥30n≥30 or normal population. N≥20nN≥20n n(pˆ)≥10n(p̂)≥10 σσ is known. σσ is unknown. n(1−pˆ)≥10n(1-p̂)≥10 Check those assumptions: 1. nˆpnp^= which is 2. n(1−ˆp)n(1-p^)= which is 3. NN= which is If no N is given in the problem, use 1000000N: Name the procedure The…You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 65.8 77.7 105.1 78.6 89.2 69.1 96.7 91.3 105.9 87.5 70.5 93.9 83.4 88.3 79.5 66.7 83.4 91.7 106.7 73 75.7 98.7 76.7 80 53.2 92.1 93 78.2 72.4 79.1 82.1 74.1 78.2 85.5 85.9 99.3 84.2 104.3 88.3 107.6 63.8 99.8 97.7 86.3 74.9 72.7 77.5 93.9 76.1 77.1 81.9 74.1 73.6 78.7 81.9 78.9 81.1 88 85.8 75.3 74.3 77.5 69.1 75.5 72.9 80.1 84.3 73.1 67.3 72.2 76.1 67.8 74.9 67.3 74.7 70.1 65.4 76.9 83.8 79.7 72.9 81.7 74.1 68.2 65.4 80.9 69.4 79.5 96 77.5 77.1 75.9 68.7 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four…Import the data from the Hill City Excel file into Minitab.You are trying to predict Price.Note: Mtn View=1 if there is a mountain view, 0 otherwise. The rest of the variables should be self explanatory. 1.Perform an F Test for overall significance of the model 2.Perform a T test for slope for the age variable 3. Find a 95% confidence interval for the slope of the SqFeet variable4. Create a prediction, CI, and PI for 1 new set of x values (any valid numbers you want), and interpret each.5. Run the residual plots and indicate if they show any problems with the model.
- The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of = 0.05. E Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. OA. OB. Oc. OD. 70- 70- Q 70- 70- ... ++++++ 20 - 20 Best Actress (years) 20- 70 20 Best Actress (years) 20- 20 Best Actress (years) 70 20 Best Actress (years) 70 70 Best Actresses and Best Actors Best Actress 27 29 30 58 33 34 46 30 62 22 44 51 D Best Actor 44 36 38 44 53 46 56 49 41 52 44 3310 .You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:p1=p2Ho:p1=p2 Ha:p1≠p2Ha:p1≠p2You obtain a sample from the first population with 97 successes and 375 failures. You obtain a sample from the second population with 76 successes and 189 failures. test statistic = [three decimal accuracy] p-value = [four decimal accuracy] The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... There is sufficient evidence to support that the first population proportion is not equal to the second population proportion. There is not sufficient evidence to support that the first population proportion is not equal to the second population proportion.7) You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=66.2Ho:μ=66.2 Ha:μ>66.2Ha:μ>66.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=16n=16 with mean M=81.5M=81.5 and a standard deviation of SD=19.1SD=19.1.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... PICK ONE less than (or equal to) αα greater than αα This test statistic leads to a decision to... PICK ONE reject the null accept the null fail to reject the null As such, the final conclusion is that... PICK ONE There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 66.2. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater…
- You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:p1≥p2Ho:p1≥p2 Ha:p1<p2Ha:p1<p2You obtain a sample from the first population with 240 successes and 413 failures. You obtain a sample from the second population with 321 successes and 390 failures. critical value = [three decimal accuracy] test statistic = [three decimal accuracy] The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd<0Ha:μd<0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=16n=16 subjects. The average difference (post - pre) is ¯d=−2.7d¯=-2.7 with a standard deviation of the differences of sd=13.3sd=13.3.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There…You wish to test the following claim (HaHa) at a significance level of α=0.02. Ho:p=0.56 Ha:p<0.56 You obtain a sample of size n=719n=719 in which there are 363 successful observations. What is the test statistic for this sample? (Report answer accurate to three decimal places.) What is the p-value for this sample? (Report answer accurate to three decimal places.)
- You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal. You obtain a sample of size n1=18 with a mean of M1=62.6 and a standard deviation of SD1=13.2 from the first population. You obtain a sample of size n2=17 with a mean of M2=73.1 and a standard deviation of SD2=5.6 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.)20.19- 20.24You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd>0Ha:μd>0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=35n=35 subjects. The average difference (post - pre) is ¯d=5d¯=5 with a standard deviation of the differences of sd=18.6sd=18.6.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is…