Assume that a simple random sample has been selected from a normally distributed population and test the given claim.Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses theoriginal claim.A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests,with the measurements given in hic (standard head injury condition units). The safety requirement is that the hicmeasurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from apopulation with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specifiedrequirement?736 758 1375 715 677 521What are the hypotheses?A. Ho: = 1000 hicH₁: ≥1000 hicOC. Ho: <1000 hicH₁: μ ≥1000 hicIdentify the test statistic.t= (Round to three decimal places as needed.)in example Get more help.B. Ho: > 1000 hicH₁: μ<1000 hicD. .Ho: μ= 1000 hicH₁: μ<1000 hicClear allScreen ShotCheck answer40.08 DM20Scree3-0..Screen3-0...3Screen2022-0

x x2 736 541696 758 574564 1375 1890625 715 511225 677 458329 521 271441 ∑x=4782…

Answered: that a simple random sample has been…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The claim is that smokers have a mean cotinine level greater than the level of 2.84 ng/mL found for nonsmokers. (Cotinine is used as a biomarker for exposure to nicotine.) The sample size is n=761 and the test statistic is t=55.668. Use technology to find the P-value. Based on the result, what is the final conclusion? Use a significance level of 0.10. State the null and alternative hypotheses. H₁> 2.84 2.84 (Type integers or decimals. Do not round.) The test statistic is (Round to two decimal places as needed.)
You wish to test the following claim (Ha) at a significance level of a = 0.002. = Ho: P₁ Ha: P1 P2 P2 You obtain a sample from the first population with 594 successes and 78 failures. You obtain a sample from the second population with 558 successes and 44 failures. The test statistic is... O in the critical region not in the critical region critical value = test statistic = This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.
Using the results obtained for a study on website development below, how would we interpret the results of this hypothesis test? The claim is the percent of customers who abandon a web page due to long load times is different from 34%. The significance level is 0.10. The test statistic is 2.50. Select the correct answer below: Reject H0. There is strong evidence to conclude that the percent of customers who abandon a web page due to long load times is greater than 34%. Reject H0. There is NOT strong evidence to conclude that the percentage of customers who abandon a web page due to long load times is greater than 34%. Fail to reject H0. There is strong evidence to conclude that the percent of customers who abandon a web page due to long load times is greater than 34%. Fail to reject H0. There is NOT strong evidence to conclude that the percentage of customers who abandon a web page due to long load times is greater than 34%.
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An article reports that men over 6 feet tall earn more than men under 6 feet, with these numbers: average 6 foot plus male’s salary $55,000, average male’s salary under 6 foot tall of $47,000, with a p-value of 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case? With that p value, the results are not significant. With that p value, the differences are very close, but not statistically significant. The salary differences are not statistically significant. The salary differences are statistically significant.
Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 5973 patients treated with this drug, 153 developed the adverse reaction of nausea. Use a 0.10 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:p0.03 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)
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In a study of the accuracy of fast food drive-through orders, one restaurant had 37 orders that were not accurate among 316 orders observed. Use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.1 H₁: p=0.1 OB. Ho: p=0.1 H₁: p>0.1 ỌC. Hop=0.1 H₁: p<0.1 OD. Ho: p=0.1 k H₁: p=0.1 Identify the test statistic for this hypothesis test.
Consider a drug testing company that provides a test for marijuana usage. Among 294 tested subjects, results from 29 subjects were wrong (either a false positive or a false negative). Use a 0.05 significance level to test the claim that less than 10 percent of the test results are wrong. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.1 H₁: p0.1 OD. Ho: p=0.1 H₁: p=0.1 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.
You wish to test the following daim (Ha) at a significance level of a = 0.005. H.:P1 > P2 Ha:P1 < P2 You obtain a sample from the first population with 303 successes and 238 failures. You obtain a sample from the second population with 155 successes and 79 failures. critical value = [three decimal accuracy] test statistic = [three decimal accuracy] The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis As such, the final condusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. O There is not sufficient evidence to support that the first population proportion is less than the second population proportion.

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