A large fishing farm with thousands of fish has been treating its fish to stop a spreading fungal infection. A simple random sample of 150 fish is taken and a careful examination determines that 12 of the fish sampled are infected. The infection would be contained if fewer than 10% of the fish were infected. To answer this question, which null hypothesis would we test? Goodness of fit test Homogeneity of distribution of a categorical response Ομ 0.10 O H1 = H2 = H3 = H4 The two categorical variables are independent O p=0.10
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- In their advertisements, a new diet program would like to claim that their methods result in a mean weight loss of more than ten pounds in two weeks. In order to determine if this is a valid claim, they hire an independent testing agency that then selects twenty-five people to be placed on this diet. Which of the following is the correct hypotheses? a Ho: μ- 10 Ha: μ > 10 Ho: u > 10 Ha: u = 10 Ho: U = 10 Ha: u < 10 O d Ho: p = 10 Ha: u+ 10A researcher wanted to determine if car preference was related to city of birth. So, she polled 200 people who were born in either Detroit or Tokyo and asked them which car manufacturer they preferred. The data are below. Conduct the appropriate χ2 statistical test using an alpha level of .05 and the eight steps of hypothesis testing. (NOTE: You do not have to use the correction equation if df=1) Chevy Toyota Detroit 75 25 Tokyo 15 85If I calculate a z test statistic of 4.84, and my α=0.05, what decision should I make about the hypothesis? (Calculate the p-value for a 2-sided test to make your decision.)
- Assume the critical value on the right side of a Z distribution was 1.96. A researcher received a sample mean that he translated into a z score of 2.5. What decision should the researcher make regarding the null hypothesis?A random sample of size 25 from a normal population has a mean of x-bar = 62.8 and s = 3.55. If you were to test the following hypothesis at the .05 level of significance. The value of the test statistic is Họ: H = 60 %3D Họ: H+60 O-3.94 O 0.79 -0.79 O 3.94 O 2.8Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?
- A radio show producer believes that a new proposed format would be preferred by only 25% of their current listeners. A survey of 100 current listeners showed that 17 favored the new format. Find the test statistic z and test the claim. H0:p= 0.25. use the significance level a=.05.Consider testing H,: B1 = 0 and B2 = 0 under the assumption that the individual t- statistics from the individual hypothesis tests are independent of one another. Consider the "one at a time" test, which tests the joint hypothesis by combing the individual null hypotheses using the individual t-statistics. Solve for the size of the "one at a time" test when the significance level a = 0.1. %3DA large cookie company claims the average amount of sodium per cookie is 200 mg. You suspect that the sodium content is different than that, so you take a random sample of 36 cookies and research the nutritional content. You then conduct a hypothesis test that μ = 200 vs. the alternative that μ ≠ 200. (a) The standardized test statistic for your sample is 2.7. The P-value would then be: A) 0.9965 B) 0.4983 C) 0.0070 D) 0.0035 Selection: (b) Which would be the correct decision for your hypothesis test? A) Reject H0 B) Do not reject H0 Selection: (c) A Type I Error in this situation would be: A) Concluding that μ ≠ 200 when in fact μ = 200 is true. B) Concluding that μ = 200 when in fact μ ≠ 200 is true. C) Concluding that μ = 200 when in fact μ = 200 is true. D) Concluding that μ ≠ 200 when in fact μ ≠ 200 is true. Selection:
- A marketing researcher would like to compare the mean amounts that men and women spend on Christmas gifts. Independent random samples were taken from each group. He would like to conduct a test to determine if women spend more on average. If the null hypothesis is Ho : µM - µf = 0, what is the alternative hypothesis? ge 2: ge 3: OH1 : µM – HF 0 4 OH1 : µM – HF # 0 Page 5: Next Page Dege 10of15The Kyoto Protocol was signed in 1997, and required countries to start reducing their carbon emissions. The protocol became enforceable in February 2005. In 2004, the mean CO2 emission was 4.87 metric tons per capita. In 2010, the CO2 emissions for a random sample of 31 countries were collected. Is there enough evidence to show that the mean CO2 emission is lower in 2010 than in 2004? State the random variable, population parameter, and hypotheses. The symbol for the random variable involved in this problem is The wording for the random variable in context is as follows: The symbol for the parameter involved in this problem is The wording for the parameter in context is as follows: Fill in the correct null and alternative hypotheses:�0: ��: A Type I error in the context of this problem would be A Type II error in the context of this problem would beProvide an appropriate response. Test the hypothesis that p1 = P2. Use a = 0.05. The sample statistics listed below are from independent samples. Sample statistics: n1 = 50, x1 35, and n2 = 60, x2 = 40 Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis: Step 5) Write the conclusion. HTML Editor BIUA A、IE三= Ex x E 曲。 12pt Pa SAMSUNG 10