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- A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 99 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim atα= 0.05.A city official claims that the proportion of all commuters who are in favor of an expanded public transportation system is 50%. A newspaper conducts a survey to determine whether this proportion is different from 50%. Out of 225 randomly chosen commuters, the survey finds that 99 of them reply yes when asked if they support an expanded public transportation system. Test the official’s claim at α= 0.05.A polling organization has been hired to conduct a survey to determine the proportion of people who are likely to support an upcoming ballot initiative. To help determine the size of the sample required for the main poll, a preliminary poll of 20 people is taken that yields the results below. (Yes indicates that the person will support the initiative, No indicates that they won't.) YesYesNoNoNoYesYesYesYesYesYesNoNoYesYesNoYesYesNoNoYesNoYesNoYesYesYesYesYesYesNoYesYesYesNoNoYesNoNoNo Based on the results of the peliminary poll, how large a sample is required for the main poll, assuming that the main poll should have a margin of error of 3% and a confidence level of 97.8%. Sample Size =
- In an experiment, a dietician tested a diet on seven women and the results are given in the following table. Weight before: 168 138 170 182 210 227 241 Weight After: 159 145 172 162 185 215 221 Find the p-value to test whether the dieting method is effective in reducing the weight.A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 8383 289289 2 116116 290290 3 101101 287287 4 8181 262262 5 110110 288288 6 119119 269269 7 6060 268268 8 6161 280280 Using games won as the explanatory variable xx, do the following: (a) The correlation coefficient is r=r= . (b) The equation of the least squares line is y^=y^=
- There was a compete e^AT partIs the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 9797 269269 2 9595 275275 3 8686 273273 4 9999 261261 5 6464 285285 6 118118 260260 7 8787 274274 8 8888 280280 Using games won as the explanatory variable ?x, compute the correlation coefficientA research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.
- Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 6060 259259 2 120120 277277 3 8989 263263 4 101101 288288 5 8585 287287 6 109109 270270 7 7777 272272 8 106106 290290 Using games won as the explanatory variable xx, do the following: (a) The correlation coefficient is r=r= . (b) The equation of the least squares line is y^=y^= . SpeakTo see if the average number of family-owned daycares per county is greater than the average number of daycare centers per county, a researcher randomly surveys some of the counties in her state and the numbers given below. At α = 0.01, can it be concluded that the average number of family-owned daycares is greater than the average number of daycare centers? Number of family-owned daycares Number of daycare centers 27 56 33 15 13 24 41 23 45 12 20 42 What is the critical value, test statistic, pvalue, and the decision for this hypothesis test?To see if the average number of family-owned daycares per county is greater than the average number of daycare centers per county, a researcher randomly surveys some of the counties in her state and the numbers given below. At α = 0.01, can it be concluded that the average number of family-owned daycares is greater than the average number of daycare centers? Number of family-owned daycares Number of daycare centers 27 56 33 15 13 24 41 23 45 12 20 42 What is the test statistic for this hypothesis test? To see if the average number of family-owned daycares per county is greater than the average number of daycare centers per county, a researcher randomly surveys some of the counties in her state and the numbers given below. At α = 0.01, can it be concluded that the average number of family-owned daycares is greater than the average number of daycare centers? Number of family-owned daycares Number of daycare centers 27 56 33 15…
