1.2 Conduct and interpret tests of hypotheses comparing two population means using matched-pair samples. 1.3 Analyse, synthesize, and report upon results from tests of hypothesis in both graphic and text formats.
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- What is a sample space?Use the method of hypothesis testing to determine if Ryan should conclude his saplings are growing. Take a 5% significance level.Nancy, an economist, would like to make the claim that the average weekly grocery budget for households in a small U.S. city is less than $253. Nancy samples 18 households in the same city and obtains a sample mean of $229.60 spent on groceries per week. At the 2.5% significance level, should Nancy reject or fail to reject the null hypothesis given the sample data below? H0:μ=$253 per week; Ha:μ<$253 per week α=0.025 (significance level) test statistic=−0.75 Then set the α and the test statistic to find the p-value. Use the results to determine whether to reject or fail to reject the null hypothesis.
- According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? Test at the 5% level. viii) Comparing p-value and α value, which is the correct decision to make for this hypothesis test? A. Reject H B. Fail to reject Ho C. Accept Ho D. Accept HA Enter letter corresponding to correct answer. (ix) Select the statement that most correctly interprets the result of this test: A. The result is statistically significant at .05 level of significance. Evidence supports the claim that the proportion of complaints due to identity theft in Alaska is less than 23%. B. The result is statistically significant at .05 level of significance. There is not…In general, if sample data are such that the null hypothesis is rejected at the ? = 1% level of significance based on a two-tailed test, is H0 also rejected at the ? = 1% level of significance for a corresponding one-tailed test? Explain your answer.The ___________ is a value used in making a decision about the null hypothesis and is found by converting the sample statistic to a score with the assumption that the null hypothesis is true.
- A food services manager wants to know if there is a relationship between gender (male or female) and the preferred condiment on a hot dog. The following table summarizes the results. Test the hypothesis with a significance level of 1%. CONDIMENT Ketchup Mustard Relish Total Male 15 23 10 48 Female 25 19 8 52 Total 40 42 18 100 State the hypotheses. What statistical test should be used to determine if there is a relationship between gender and the preferred hotdog condiment? Determine the appropriate critical value and set up the decision rule. Compute the test statistic. Interpret your results. Give your conclusion.To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Four hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2.(hint - Proportions 2 sample, two tail test) Speeding Tickets Ticketed Not Ticketed Men 21 173 Women 37 169 Group of answer choices Statistic = -5.03, Accept null hypothesis Statistic = -2.03, Reject null hypothesis Statistic = -3.03, Reject null hypothesis Statistic = -2.03, Accept null hypothesisAccording to Emergency Room Statistics, in any 6 month period, 15.2% of asthmatic children not on inhalers will have an asthmatic complication requiring the emergency room. A pharmaceutical firm has developed a new steroidal inhaler. The company believes that the use of this steroidal inhaler will decrease the percentage of asthmatic children requiring emergency room care for asthmatic complications. Because the FDA requires 2-sided hypothesis tests, the company tested the following claim: In any 6 month period, the percentage of asthmatic children using their steroidal inhaler that require emergency room care for asthmatic complications will not be 15.2%. To test their claim, they took a simple random sample of 260 asthmatic children and had them use a steroidal inhaler for 6 months. Of the 260 children, 60 required emergency room care for asthmatic complications at some time in the 6 month period. (c) What is the critical value which represents a boundary between the rejection region…
- According to the National Highway and Traffic Safety Administration, the proportion of fatal traffic accidents in the United States in which the driver had a positive blood alcohol concentration (BAC) is .36. Suppose a random sample of 105 traffic fatalities in the state of Hawaii results in 51 that involved a positive BAC. D) Check whether the conditions for hypothesis testing using the P-value approach are meet.10.30 A Yankelovich, Skelly, and White poll reported upon on November 30, 1984, showed that 54% of 2,207 people surveyed thought the U.S. income tax system was too complicated. Can wez conclude safely, at the 5% significance level, that the majority of Americans think the income tax system is too complicated?For the x and observed significance level (P-Value) pair, indicate whether the bull hypothesis would be rejected.