If the hypothesis test is performed at a 5 significance level and the resulting

# If the hypothesis test is performed at a 5

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If the hypothesis test is performed at a 5% significance level and the resulting p-value is 0.04. Your conclusion should be:So Cc-mple ex.-J- D a)Fail to reject Ho because the p-value is less than0.05.b)Reject Ho because the p-value is less than 0.05.p—vd.uxc)Accept Ho because the p-value is less than 0.05.d)Fail to accept Ho because the p-value is less than 0.05. Assume that a simple random sample has been selected from a normally distributed A population. Find the test statistic t. 19 A local newspaper reported that for the adult population of a town, the mean annual salary is \$30,000. Test the claim that for the adult population of this town, the mean annual salary is greater than \$30,000. Sample data are summarized as n = 17, sample mean = \$22,298, and s = \$14,200. Use a significance level of alpha = 0.05. Find the test statistic t. 1.1 poo 141200 > 30,060 a) -2.24 = -2.21k

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b) -1.57 d) 2.24 zoo Nok: -+6-4 a Cb-n-h•-zry_ Assume a normal distribution and use a hypothesis test to test the given claim. According to city reports, it was found that the mean age of the prison population in the city was 26 20. years. Marc wants to test the claim that the mean age of the prison population in his city is less than 26 years. He obtains a random sample of 25 prisoners and finds a mean age of 24.4 years and a standard deviation of 9.2 years. At a significance level of 0.05, what should his conclusion be? Note: The p- value = O. 1966. 77.e t/4\$4ta.P arræcA beta.e..4.o.e , a) Do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 26 years. b) Reject the null hypothesis. The evidence suggests that the mean age is less than 26 years. c) There is not enough information to perform the test. d) Do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 24.4 years. e) Reject the null hypothesis. There is sufficient evidence that the mean age is less than 24.4 years. State your conclusion to the hypothesis test. // > e) 0.05 SR 14)
the hypothesis test. 21. A certain academic program claims that their students graduate in less than 4 years on average. A random sample of 50 students is taken and the mean and standard deviation are found. The test statistic is calculated to be -1.69. Using a 5% significance level, the conclusion would be: -Lcf z = .05 — I , a) there is sufficient sample evidence for the program's claim to be considered correct. b) there is insufficient sample evidence for the program's claim to be considered correct. c) there is insufficient sample evidence for the program's claim to be considered incorrect. d) there is sufficient sample evidence for the program's claim to be considered incorrect. State your conclusion to 3 22. A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate E.ao•z-c.hæ

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electricity. Wind speeds must average more than 22 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of n=33 wind speed recordings (taken at random intervals), the wind speed at the site averaged 22.8 mph, with a standard deviation of 4.3 mph. To determine whether the site meets the
• Summer '14
• Null hypothesis, Statistical hypothesis testing

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