1. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis. Alpha = 0.09 for a right-tailed test. (Points : 5) ±1.96 1.34 ±1.34 1.96 2. Find the value of the test statistic z using z = W4Q3 The claim is that the proportion of drowning deaths of children attributable to beaches is more than 0.25, and the sample statistics include n = 681 drowning deaths of children with 30% of them attributable to beaches. (Points : 5) 3.01 2.85 -2.85 -3.01 3. Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). The test statistic in a left-tailed test is z = -1.83. (Points : 5) 0.0672; reject the null hypothesis 0.0336; reject the null hypothesis 0.9664; fail to reject the null hypothesis 0.0672; fail to reject the null hypothesis 4. Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With H1: p < 3/5, the test statistic is z = -1.68. (Points : 5) 0.093; fail to reject the null hypothesis 0.0465; fail to reject the null hypothesis 0.0465; reject the null hypothesis 0.9535; fail to reject the null hypothesis 5. Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The owner of a football team claims that the average attendance at games is over 694, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. (Points : 5) There is not sufficient evidence to support the claim that the mean attendance is less than 694. There is sufficient evidence to support the claim that the mean attendance is greater than 694. There is sufficient evidence to support the claim that the mean attendance is less than 694. There is not sufficient evidence to support the claim that the mean attendance is greater than 694. 6. Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A consumer advocacy group claims that the mean mileage for the Carter Motor Company's new sedan is less than 32 miles per gallon. Identify the type I error for the test. (Points : 5) Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually greater than 32 miles per gallon. Reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles per gallon. Reject the claim that the mean is equal to 32 miles per gallon when it is actually 32 miles per gallon. Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles per gallon. 7. Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%. (Points : 5) 0.2843 -0.2843 0.2157 0.5686 8. Find the P-value for the indicated hypothesis test. An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 225 fathers from Littleton, yielded 97 who did not help with child care. Find the P-value for a test of the researcher's claim. (Points : 5) 0.0019 0.0015 0.0038 0.0529 9. Find the critical value or values of CRitVALX2 based on the given information. H1: sigma > 3.5 n = 14 Alpha= 0.05 (Points : 5) 22.362 5.892 24.736 23.685 10. Find the critical value or values of CritVALX2 b…
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