Suppose we want to test the null hypothesis Ho : Pi - P2 = 0 against the alternative hypothesis H1: pi - P2 > 0 at the 5% level of significance. Suppose also that P1 0.8, n1 = 500, P2 = 0.75, n2 = 400. What is the p-value for this test? Select one: a. 0.0367 O b. 0.05 C. 0.0462 O d. 0.0231
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A: The complete solution of the question given in the image uploaded below. Thanks!
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- 14. A hypothesis test was performed to test the null hypothesis Ho: μ = 4 against the alternative Ha: #4. The test statistic is z = 2.57? What is the P-value for this test? a. 0.003 b. 0.0051 C. 0.0102 d. 0.805What is the appropriate conclusion for this test? (Do not reject OR reject) H₀ and conclude that there (is or is not) sufficient evidence that mice with an average life span of 32 months will live to be (less or greater) than 42 months old when 40% of the calories in their diet are replaced by vitamins and protein.Molly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value? If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…
- collected data from 150 surveys ne nanaed out at a busy park located in the region. To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "white collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is Ho: p = 0.26 and the alternative hypothesis is Ha: p<0.26. The researcher collected data from a random sample of 120 adults with "white collar" jobs of which 25 stated that they drank once a week or less in the last month. Assume that the conditions that must be met in order for us to use the N(0, 1) distribution as the sampling distribution are satisfied. Find the values of the sample proportion, p, the test statistic, and the p-value associated with the test statistic. Round all values to the nearest thousandth. P = 0.30, z = 0.803, p-value = 0.041 A P = 0.208, z = -1.290, p-value = 0.098 P = 0.75, z = -1.32, p-value = 0.599 P = 0.208, z =…Suppose you test the null hypothesis Ho : o? = o against the alternative hypothesis Ha:o? + o at a significance level of a about the p-value of your test? 5%. The value of your F-statistic is 2.67. What is true O The p-value is 5%. O The p-value is P(F > 2.67). O The p-value is less than 5%, O The p-value is 2 P(F> 2.67).Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.8 versus H₁: p > 0.8 n = 250; x = 220; α = 0.05 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, Zo. Zo = 3.16 (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.)
- Ex K A 2 Consider a sample of 49 football games, where 30 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. W S Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho: p=0.5 H₁: p>0.5 OB. Ho: p=0.5 H₁: p0.5 H₁: p=0.5 D Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) X mmand дв Monroe's Temp....docx. Removed 3 8.0 E D C $ 4 FA R F W SAMPLE Persuas....pdf % 5 V V T G 6 A B MacBook Air & Y 5373255 (1) (1).docx H & 7 U N * 8 J A DII 1 M ( 9 5373255 (1).docx K O < 1 H O L F 10 Clear all P Л. ... I PR { + Check answer ? command option Show All 1 F12 X L 1 deState the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.What is the critical t score if you are testing a one-tailed hypothesis, α level of .05 with df = 36? a. 1.671 b. 2.026 c. 2.028 d. 1.697
- Generally speaking, would you say that most people can be trusted? A random sample of n1 = 253 people in Chicago ages 18-25 showed that r1 = 41 said yes. Another random sample of n2 = 283 people in Chicago ages 35-45 showed that r2 = 74 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use α = 0.05. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)3. For a z-test we get a test statistic of z=2.05. If our alternative hypothesis is "??:?>13Ha:μ>13", what Excel command would we use to compute the P-value? If our alternative hypothesis is "??:?<13Ha:μ<13", what Excel command would se use to compute the P-value?A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 68%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H that we would use for this test. H: 0 O