The p-value for a hypothesis test turns out to be 0.05872. At a 4% level of significance, what is the proper decision? O Reject Ho O Fail to reject Ho > Next Question
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- If you use a 0.03 level of significance in a (two-tail) hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 650 if you use the Z test? Which of the following decision rules is correct? A. Reject H0 if −1.88<ZSTAT<+1.88. B. Reject H0 if ZSTAT<−1.88 or ZSTAT>+1.88. C. Reject H0 if ZSTAT<−2.17 or ZSTAT>+2.17. D. Reject H0 if −2.17<ZSTAT<+2.17.Suppose 450 subjects are treated with a drug that is used to treat pain and 140 of them developed nausea. Use a 0.05 significance level to test the claim that more than 205% of users develop nausea. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Show word count ( Previous NextSuppose that in a random selection of 100 colored candies, 24% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.05 significance level to test that claim. H,: p>0.29 OC. H, p=0.29 H, p#0.29 O D. Ho p+0.29 H, p=0.29 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O B. Fail to reject H. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to…
- Only 10% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 399 randomly selected registered voters surveyed, 52 of them will vote in the upcoming election. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answerhelp 14Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 6167 patients treated with this drug, 150 developed the adverse reaction of nausea. Use a 010 significance level to test the claim that 3% of users develop nausea. Does nausea appear to be a problematic adverse reaction? Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho p 0.03 H, p=003 O B. H, p=0.03 H p0.03
- Consider a sample of 49 football games, where 28 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. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.5 H₁: p *0.5 B. Ho: p=0.5 H₁: p 0.5 H₁: p=0.5 D. Ho: p=0.5 H₁: p>0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1007 Chevrolet owners and found that 482 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal Chevrolet is more than 47%? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.47; H,: p 0.47 O Ho: p > 0.47; H,: p = 0.47 O Ho: p = 0.47; H1: p + 0.47 (b) What sampling distribution will you use? O The Student's t, since np 5 and ng > 5. O The standard normal, since np 5 and ng > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value.A telephone company claims that more than 15% of its customers have at least two telephone lines. The company selects a random sample of 250 customers and finds that 50 have at least two telephone lines. Does the data support the claim? Use a P- value. Which of the following is correct? a. H0: p = 0.15 versus H1: p = 0.15, reject HO at 0.05 level of significance O b. H0: p ≤ 0.15 versus Hl: p > 0.15, at 0.01 level of reject HO significance c. H0: p ≤ 0.15 versus Hl: p > 0.15, not reject HO at 0.01 level of significance O d. H0: p ≤ 0.15 versus H1: p > 0.15, not reject HO at 0.05 level of significance do do
- A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1300 registered voters and found that 670 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate.We test Ho: p=.5 Ha: p>.5 What is the -statistic for this test? What is the P-value of the test?In a survey, 43% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 210 pet owners and discovered that 84 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the α = 0.05 level of significance. Because npo (1-Po) = 10, the sample size is (Round to one decimal place as needed.) 5% of the population size, and the sample satisfied. the requirements for testing the hypothesisWhen conducting a significance test in practice, how should you choose the alpha level? a) Always use alpha=0.05 since it's the most appropriate for every situation. b) Always use alpha=0.05 since it's the most commonly used one. c) Use a larger alpha when the consequences of mistakenly rejecting the null hypothesis are more serious. d) Use a smaller alpha when the consequences of mistakenly rejecting the null hypothesis are more serious.