Interpreting Z-Test H# 50 := 1.473363499 P=.1406531165 x = 51.62 %3D n=67 Part: 0/5 Part 1 of 5 What are the null and alternate hypotheses? O
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- Refer image to questions -What is the appropriate test to answer this question? -The null and alternative hypotheses are (choose from below) H0: π = 0.7, H1: π ≠ 0.7 H0: β = 0, H1: β ≠ 0 H0: μ = 0, H1: μ ≠ 0 H0: μ = 70, H1: μ ≠ 70 H0: μ1- μ2 = 0, H1: μ1- μ2 ≠ 0 - How can you justify the assumption for this test? (choose from below) -Since nπ and n(1-π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution -The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population -The boxplots indicate that the samples are fairly symmetric and the spreads are similar, so we can assume both sets of data come from normal distributions with the same spread -The points are randomly scattered around a straight line, so the assumptions of linearity and constant spread are satisfied. The shape of the histogram indicates that the…Nonparametric: A small study is conducted to compare birth weight in babies born to mothers who do not smoke to those that smoke more than ½ pack/day. Is there a significant difference between birth weights due to maternal smoking status? Use the Mann-Whitney U test with a 5% level of significance. What is U1 (non-smokers)? Birth weights of infants in two groups of mothers. (Observed data) Nonsmokers Heavy Smokers (≥1/2 pack/day) 8.6 7.0 8.5 5.2 6.3 6.1 9.3 6.7 8.0 6.6 6.8 7.4 4.9 6.3Ages of Homes Whiting, Indiana leads the "Top 100 Cities with the Oldest Houses" list with the average age of houses being 66.4 years. Farther down the list resides Franklin, Pennsylvania, with an average house age of 59.4 years. Researchers selected a random sample of 22 houses from Whiting and 19 houses from Franklin and obtained the following statistics. At α=0.05, can it be concluded that the houses in Whiting are older? Use the P-value method. Assume the variables are normally distributed and the variances are unequal. Whiting Franklin Mean age (in years) 61.6 59.7 Standard deviation (in years) 5.4 3.9 Use μ1 for the average age of houses in Whiting. (a) State the hypotheses and identify the claim. H0: claim/not claim H1: claim/not claim This hypothesis test is a one-tailed/two-tailed test. (b) Compute the test value. Round the answer to at least three decimal places. t= (c) Find the interval for the P-value. The…
- 1/1 75% 16. Ages of College Students The dean of students wants to see whether there is a significant difference in ages of res- ident students and commuting students. She selects a ran- dom sample of 50 students from cach group. The ages are shown here. At a = 0.05, decide if there is enough evi- dence to reject the claim of no difference in the ages of the two groups. Use the P-value method. Assume o = 3.68 and oz = 4.7. Resident students 27 22 25 18 19 26 22 19 25 20 30 19 19 21 23 26 26 18 19 19 23 24 18 29 21 21 26 27 18 19 23 21 28 26 19 22 18 22 26 18 32 18 20 18 24 19 23 22 18 20 Commuter students 18 23 26 19 29 20 20 20 18 30 26 23 21 25 19 23 22 35 21 18 22 28 22 19 36 23 25 25 21 18 27 20 24 20 18 19 27 19 35 24 20 32 20 19 22 22 19 19 19 18Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test Ho:p=0.7 versus H,: p>0.7 n= 125; x = 93, a 0.1 ***** Is npo (1-Po) 2 10? O Yes ON O Use technology to find the P-value. P-value= (Round to three decimal places as needed.) the null hypothesis, because the P-value is than a. Time Remaining: 03:45:30 Next DEC 15 MacBook Air 08 DD F5 F6 F8 * # % 2$ 3. N ommandThe Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. For a random sample of 33 Cadets, each bought "new" two years ago and each sold "used" within the past month, the least-squares regression equation relating the two variables mileage (denoted by x) and used selling price (denoted by y, in dollars) was y = 39.52 – 0.56x . The standard error of the slope of this least-squares regression line was approximately 0.43. Based on this information, test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.10 level of significance, and perform a two-tailed test. Then fill in the table below. (If necessary, consult a list of formulas.) Aa The null hypothesis: H : 0 The alternative hypothesis: H :] O=0 OSO The type of test statistic:…
- Please help!! 5Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 435 of the 672 Republicans surveyed display the flag on the Fourth of July and 515 of the 731 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.05 level of significance? The test statistic z = _________ (please show your answer to 3 decimal places.) The p-value = ____________Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.4 versus H₁: p> 0.4 n = 125; x = 65, α = 0.1 Is npo (1-Po) ² ≥ 10? No Yes ...
- (b) Find the standardized test statistic for u1-u2 t= (Round to three decimal places as needed.) c) Calculate the P.value. P= (Round to four decimal places as needed.) (d State the conclusion ___________ Ho- There ____________ enough evidence at the 1% level of significance to support the researcher's claim.Please Explain SolutionBased on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 458 depressed individuals is selected and treated with Resithan, and 206 find relief from their depression. A random sample of 429 depressed individuals is independently selected from the first sample and treated with Exemor, and 179 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.05 level of significance, that the proportion P, of all depressed individuals taking Resithan who find relief from depression is greater than the proportion P₂ of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in…