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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- The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.What does it mean for the results of a hypothesis test to be statistically significant?The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monitoring to regulate the water quality of streams in the Commonwealth of Virginia. Of the 85 Eastern Virginia Sites (group 1), 15 do not meet minimum requirements. Of the 80 units sampled in Western Virginia Sites (group 2), 21 do not meet minimum requirements. Assume the data can be treated as independent simple random samples. (a) State the null and alternative hypotheses in order to determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not. (b) Calculate the value of the test statistic z. (c) Determine the P-value associated with this observed value of z and draw the conclusion about the hypotheses using a-0.01.
- (a) A new drug is being compared with a standard drug for treating a particular illness. In a clinical trial, a group of two hundred patients was split into two equal groups receiving either the new drug or the standard drug. The condition improved in 85% of patients who received the new drug and in 72% of patients who received the old drug. Carry out an appropriate hypothesis test at the 5% significance level to investigate whether the new drug is better than the standard drug. Construct a 95% confidence interval for the difference in the two proportions.2. Several years ago, a census of all students enrolled at a large undergraduate university revealed that 19% of the students were seniors, 23% were juniors, 27% were sophomores, and 31% were freshmen. This year, the student senate did a survey to see whether these percentages have remained the same. A random sample of 200 students included 50 senior, 46 juniors, 55 sophomores, and 49 freshmen. Using a 2.5% significance level, test the null hypothesis that the percentages are still 19% seniors, 23% juniors, 27% sophomores, and 31% freshmen. Use the Critical Value Approach.According to a recent report, 46% of college student internships are unpaid. A recent survey of 60 college interns at a local university found that 30 had unpaid internships. a. Use the five-step p-value approach to hypothesis testing and a 0.10 level of significance to determine whether the proportion of college interns that had unpaid internships is different from 0.46. b. Assume that the study found that 38 of the 60 college interns had unpaid internships and repeat (a). Are the conclusions the same? Question content area bottom Part 1 a. Let π be the population proportion. Determine the null hypothesis, H0, and the alternative hypothesis, H1. H0: π ▼ less than< greater than or equals≥ equals= greater than> not equals≠ less than or equals≤ enter your response here H1: π ▼ less than< greater than> not equals≠ less than or equals≤ equals= greater than or equals≥ enter your response here
- 4. Chantix (varenicline) tablets are used as an aid to help people stop smoking. In a clinical trial, 129 subjects were treated with Chantix twice a day for 12 weeks, and 16 subjects experienced abdominal pain (based on data from Pfizer, Inc.)If someone claims that more than 8% of Chantix users experience abdominal pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.18 as an alternative value of P, the power of the test is 0.96. Interpret this value of the power of the test.Since the Hawk-Eye instant replay system for tennis was introduced at the U.S. Open in 2006, men challenged 1412 referee calls, with the result that 421 of the calls were overturned. Women challenged 759 referee calls, and 220 of the calls were overturned. We want to use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Test the claim using a hypothesis test. (There is no data corresponding to this exercise, just solve it in the spreadsheet.)A researcher wanted to know which local brewery had the best IPA. Each participant tried a sample from all three different breweries (Ore Dock, Black Rocks, and Barrel + Beam) and was asked to rate each one on a scale of 0-100. Use the six steps of hypothesis testing to determine if there was a significant effect of brewery on IPA popularity ratings. Participants ore dock blackrocks barrel + beam 1 40 30 53 2 42 45 65 3 30 38 64 4 37 32 43 5 23 28 38 What is the SS within?
- Show your complete solution II. Use an appropriate statistical tool to test the hypothesis. Use the stepwise method of hypothesis testing. 3. A researcher observed that students preferred several online class platforms. For this reason, he performs a survey to know whether or not gender is associated with online class platforms preference and he was able to gathered the following data Zoom Google Meet MS Teams Total Male 110 95 40 245 Female 105 100 50 255 Total 215 195 90 500Use the two-proportions z-test to perform the required hypothesis test. Assume that independent simple random samples have been selected from the two populations. A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 recognized the product while 196 out of 614 Californians recognized the product. At the 5% significance level, do the data provide sufficient evidence to conclude that the recognition rate in New York differs from the recognition rate in California?According to a recent report, 468% of college student internships are unpaid. A recent survey of 80 college interns at a local university found that 53 had unpaid internships. a. Use the five-step p-value approach to hypothesis testing and a 0.01 level of significance to determine whether the proportion of college interns that had unpaid internships is different from 0.48. b. Assume that the study found that 46 of the 80 college interns had unpaid internships and repeat (a). Are the conclusions the same? ZStat=___ p-value=____ What is the final conclusion? The result is ____ part (a). ____ the null hypothesis. There ___ sufficient evidence that the proportion of college interns that had unpaid internships is ____ because the p-value ____ the level of significance.