(a) State the null hypothesis Ho and the alternative hypothesis H₁. H :O 0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 H |x 5. 0 a S 00 P O<0 D
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- 8/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…A hypothesis test is performed at the 5% significance for a normal population mean u iwth the null and alternative hypotheses given below. Haitl# Ho Orl =r1:0H It is found that the p-value is p = 0.0123. What is the correct decision and interpretation of the hypothesis test? O Inconclusive or not enough information to tell. O Do not reject the null hypothesis. Our data supports the null hypothesis. O Do not reject the null hypothesis. We have proved the null hypothesis is true. O Reject the null hypothesis. We have proved the null hypothesis is false. O Reject the null hypothesis. Our data is statistically insignificant. O Reject the null hypothesis. Our data does not support the null hypothesis.State whether the standardized test statistict indicates that you should reject the null hypothesis. Explain. (a) t=2.242 (b) t= 0 (c) t=2.195 (d) t= -2.254 0. (a) For t 2.242, should you reject or fail to reject the null hypothesis? O A. Reject Ho, because t> 2.219. O B. Reject Ho, because t 2.219. O D. Fail to reject Ho, because t<2.219.
- Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data speeds at airports, the mean is µ = 16.00 Mbps. The sample size is n = 14 and the test statistic is t= -2.653. P-value= (Round to three decimal places as needed.) w an example D F2 W S X H mand # 3 Get more help. 80 F3 E D C $ 4 Q F4 R F O % 5 V e F5 T G ^ 6 B MacBook Air c F6 Y H & 7 N F7 U * 8 M DII FB I ( 9 K DD F9 O < ) O L command F10 P A. : ; Clear all I option F11 ww ? 1 + = 11 Check answer 4) F12 } 1 delete Ip 15 Is sunscreen with an SPF 30 rating more effective at preventing sunburn than sunscreen with an SPF 15 rating? At the alpha = 0.05 level of significance, test the claim that SPF 30 sunscreen is better at preventing sunburn than 15 sunscreen. Let represent the proportion of SPF 15 sunscreen wearers who get a sunburn and represent the proportion of SPF 30 sunscreen wearers who get a sunburn. (Round your results to three decimal places) 1. Which would be correct hypotheses for this test? O O H 0 :p 15 =p 30 , H 1 :p 15 ne p 30 H 0 :p 15 =p 30 , H H 1 :p 15 <p 30 O H 0 :p 15 <p 30 ,H 1 :p 15 >p 30 O H 0 :p 15 =p 30 H 1 :p 15 >p 30 A random sample of 250 beach-goers were given SPF 15 sunscreen and asked to lay in the sun for 1 hour10 of them later reported a sunburn. Another random sample of 250 beach- goers were given SPF 30 sunscreen and asked to lay in the sun for 1 hour. 7 of them later reported a sunburn. 2.Find the test statistic 3. Give the P-value: answer only…Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. H0: p=0.4 versus H1: p>0.4 n=125; x=55, α=0.1
- Tests the claim that pi # p2. Assume the samples are random and independent. T1 = 26 ; r2 = 11 %3D n1 = 58 ; n2 = 39 a. Complete the table (use reduced fractions) P1 P2 Pi The Test Statistic (P1- P2) – (P1 P2) I1 + 22 Z = ni + n2 b. Calculate the Z-test statistic using the standard error from part a. Z = (use 2 decimat places) C. At a 0.04, Use the distribution table to find the critical values for the rejection region Z. =Consider the data. xi 3 12 6 20 14 yi 60 40 65 5 15 Use the t test to test the following hypotheses (? = 0.05): H0: ?1 = 0 Ha: ?1 ≠ 0 Find the value of the test statistic. (Round your answer to three decimal places.) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.3/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…
- P-value is -.055 You are asked to make a decision about whether to reject the null hypothesis that the population value of gamma equals 0 (i.e., that there is no ordinary association in the population between frequency of prayer and health). If alpha = 0.05 and you use a non-directional alternative hypothesis, which of the following is true?) A. Since the p-value is larger than alpha, you do not reject the null hypothesis B. Since the p-value is less than alpha, you do not reject the null hypothesis C. Since the p-value is larger than alpha, you reject the null hypothesis. D. Since the p-value is less than alpha, you reject the null hypothesisState whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a) t= 1.584 (b) t=0 (c) t= - 1.526 (d) t= - 1.604 to = - 1.558 (a) For t= 1.584, should you reject or fail to reject the null hypothesis? O A. Fail to reject Ho, because t> - 1.558. O B. Reject Ho, because t> - 1.558. O C. Reject Ho, because t - 1.558. O B. Fail to reject Ho, because t - 1.558. (c) For t= - 1.526, should you reject or fail to reject the null hypothesis? O A. Reject Ho, because t - 1.558. O C. Fail to reject Ho, because t> - 1.558. O D. Fail to reject Hn, because t< - 1.558.A study by researchers at a university addressed the question of whether the mean body temperature of an animal is 98.2°F.Among other data, the researchers obtained the body temperatures of 97 healthy animals. Suppose you want to use those data to decide whether the mean body temperature of healthy animals is greater than 98.2°F. Complete parts (a) through (c) below. a. Determine the null hypothesis. H0: μ ______ (=, >, < or ≠) ________ ________________ (healthy animals or °F) (Type an integer or a decimal. Do not round.) b. Determine the alternative hypothesis. Ha: μ (=, >, < or ≠) ________ ________________ (healthy animals or °F) (Type an integer or a decimal. Do not round.) c. Classify the hypothesis test as two tailed, left tailed, or right tailed. The hypothesis test is _______________ (right tailed, left tailed or two tailed)