If 13 of 200 male voters and 9 of 159 female voters favor a certain candidate running for governor of Illinois, find a 99% confidence interval for the difference between the actual proportions of malė and female voters who favor the candidate.
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- A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Illinois and Massachusetts. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of Illinois is greater than the mean annual income of childcare workers in Massachusetts. To see if this is true, the firm selected random sample of 25 childcare workers from Illinois and an independent random sample of 25 childcare workers from Massachusetts and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 45679, 47412, 38478, 44646, 44364, 45265, 41423, 45861, 45936, 34016, 43020, 4960o8, 43710, 45738, 41546, 38681, 34889, 39468, 45463, 53593, 40847, 38255, 45708, 57662, 54356 Illinois 41743, 36349, 44588, 40341, 32544, 38226, 46463, 42255, 38621, 32502, 37378, 40215, 41155, 38509, 47586, 46910, 56502, Massachusetts 48907, 41861, 51211, 55186, 39078, 48263, 48059,…A school district decided to measure the BMI of all 3rd graders and identify the highest 1% and lowest 1% of those students, and those students will be included in a follow up program. If Abby's BMI is converted to a z score of -2.18, would she be included in the program?Suppose that a South African Broadcasting Corporation (SABC) official wants to conduct a survey in Limpopo to estimate, with 95% confidence, a support for the premier's strategies on economy within 3% error. If the official has initial estimate that 70% of the people in Limpopo support the economic strategies of the premier. How many people should SABC survey?
- A recent study looked at the relationship between condom use and the spread of AIDS, by following heterosexual couples in which one partner was infected with HIV. The couples were classified by their condom use. Of the 98 couples who always used condoms, 4 partners became infected with HIV. Of the 67 couples who did not always use condoms, 11 partners became infected. Test whether the proportions of partners who became infected with HIV are different for each group, using a 5% level of significance. Give each of the following: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your workWildlife biologist inspects 153 deer taken by hunters and find 32 of them carrying Lyme disease ticks. 1). If the scientist want to estimate the proportion of the deer that carry Lyme disease ticks within 2% with 90% confidence how many deer should they sample?GMU uses a robot food delivery service which now has been utilized in the City of Fairfax. One of the potential benefits of this service is to help the busiest students eat breakfast. Research has shown that about 80% of college students skip breakfast due to busy schedules and other reasons. Initial data were collected from a random sample of 595 Mason students who utilize the robot food delivery service and are presented in StatCrunch. Show the full calculation of the sample proportion by including the number of students who skipped breakfast, the total number of students sampled, and the value of the sample proportion. Present this sample proportion as a decimal rounded to four decimal places. Frequency table results for Breakfast?Count = 595 Breakfast? Frequency Relative Frequency 0 142 0.23865546 1 453 0.76134454
- A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in New York and Illinois. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of New York is greater than the mean annual income of childcare workers in Illinois. To see if this is true, the firm selected a random sample of 15 childcare workers from New York and an independent random sample of 15 childcare workers from Illinois and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars New York 49378, 44459, 50396, 48428, 53720, 60711, 50900, 49846, 57630, 49813, 52923, 60662, 50060, 45923, 45433 Illinois 47959, 51289, 46467, 42758, 46502, 48032, 40452, 40702, 45428, 33593, 44348, 45763, 54745, 46015, 37396 Send data to calculator Send data to Excel The population standard deviations for the annual incomes of childcare workers in New York and in Illinois are…A local cellular phone company wishes to estimate the proportion of Clinton County people who own a cellular phone. A previous study showed the proportion to be about 25%. What is the minimum number of people that should be randomly selected so the cellular company is 95% confident that the estimate is within 5% of the true proportion of cellular phone users?for a population with a standard deviation of 4.2 and mean of 32.5, draw a bell shaped curve, marking location of the mean and the numbers that correspond with all the standard deviations Type your answer here:
- A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Connecticut and California. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of Connecticut is greater than the mean annual income of childcare workers in California. To see if this is true, the firm selected a random sample of 10 childcare workers from Connecticut and an independent random sample of 10 childcare workers from California and asked them to report their mean annual income. The data obtained were as follows. 80°F Partly sunny Annual income in dollars Connecticut 42438, 52287, 46837, 49334, 52848, 52929, 57111, 51860, 44967, 52174 California 50998, 38334, 56804, 50919, 49446, 41141, 45717, 43963, 55156, 47295 LL D 144Hz Send data to calculator V The population standard deviations for the annual incomes of childcare workers in Connecticut and in California are estimated as 6300 and 6100,…z stat please A survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below. a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05 level of significance? State the null and alternative hypotheses, where π1 is the population proportion of females who said they prefer window tinting as a luxury upgrade and π2 is the population proportion of males who said they prefer window tinting…