In a random sample of 100 adults, 27 say they are in favor of outlawing cigarettes. Let p be the proportion of all adults who are in favor of outlawing cigarettes. A researcher wishes to test the following hypotheses: Ho : p = 0.23; Ha :p#0.23. In this scenario, the appropriate test statistic is: p-Po (a) Z = V Po90/n * - Ho (b) Z || 8//n | (c) T = 8/Vn p-Po (d) Z = VPâ/n
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- According to a Pew Research Center study, in May 2011, 33% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is lower among community college students. She selects 352 community college students at random and finds that 122 of them have a smart phone. In testing the hypotheses: Ho: p= 0.33 versus Ha: p < 0.33 Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for #3 and #4. 4. Find the p-value.-- 5. The communication professor should the null hypothesis.OBFW Publishers A state's Division of Motor Vehicles (DMV) claims that 60% of all teens pass their driving test on the first attempt. An investigative reporter examines an SRS of the DMV records for 125 teens; 86 of them passed the test on their first try. A hypothesis test of Ho: P = 0.60 Ha:p # 0.60 where p = the true proportion of teens who pass their driving test on the first attempt using a = 0.05 gives a P-value of 0.0444. A 95% confidence interval for the true proportion of teens who pass the driving test on the first attempt is 0.607 to 0.769. Which is the following statements is not true with regards to the 95% confidence interval provided and the result of the hypothesis test? OA two-sided test only allows us to reject (or fail to reject) a hypothesized value for a particular population parameter. The value 0.60 is not a plausible value because it falls outside the 95% confidence interval. The 95% confidence interval provided gives an approximate set of po's that would not be…According to a Pew Research Center study, in May 2011, 33% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students. She selects 320 community college students at random and finds that 135 of them have a smart phone. In testing the hypotheses: Ho: p = 0.33 versus Ha: p > 0.33 Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for #3 and #4. 1. This is an example of a hypothesis test. 2. Find the standard error. 3. Find the z value. 4. Find the p-value. 5. The communication professor should the null hypothesis.
- A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)A polling company conducted a hypothesis test to see if people are happy with the government, and they did so by conducting a two-sided test for a population ratio. population proportion). They calculated the value of the test statistic and found that it wasz=2.1 .What is the p-value of the test?A recent study of 1000 high school juniors and seniors asked whether or not they felt smartphones are a valuable learning tool. Additional data were gathered on their smartphone plan (unlimited data, additional texting, or standard voice plan) and which class they were in (junior vs. senior). Which of the following is a correct pair of hypotheses the researchers could test? (A) Ho: The proportion of juniors and seniors who feel smartphones are a valuable learning tool is the same for students that have each type of plan. Ha: The proportion of juniors and seniors who feel smartphones are a valuable learning tool is not the same for students that have each type of plan (B) Ho: The proportion of students who feel smartphones are a valuable learning tool is the same for students that have each type of plan. Ha: The proportion of students who feel smartphones are a valuable learning tool is not the same for students that have each type of plan. (C) Ho: There is an association between class…
- An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city that are hybrids. Is it sufficient for him to use a simple random sample of 173 cars if hybrids currently account for 8%of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that?A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.Based on information from Harper's Index, 37 out of a random sample of 100 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of 100 adult Americans who did attend college, 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attend college and who believe in extraterrestrials is higher than the proportion who did not attend college? (a) State the hypotheses in plain language. (b) Fill in the table below, then enter this table in the left side of the Rossman-Chance applet. No college College Total Believe in ETs 84 Did not believe in ETs 116 Total 100 100 200 (c) Compute the point estimate for the difference in the proportion believing in extraterrestrials between those not attending college and those attending college. Pne – Pe = (d) Complete at least 1000 simulations in the Rossman-Chance app 2 and report your findings below. (For help with the applet, refer to the e "Using the…
- Is there an association between daily screen time and exercise habits in high school students? Mia selects a random sample of 123 high school students and categorizes them into 1 of 3 categories of screen time and whether they exercise. She would like to determine if there is convincing evidence of an association. Let = 0.05. What are the hypotheses for this test? H0: There is an association between daily screen time and exercise habits in high school students.Ha: There is no association between daily screen time and exercise habits in high school students.H0: There is no association between daily screen time and exercise habits in high school students.Ha: There is an association between daily screen time and exercise habits in high school students.H0: There is no difference in the distribution of daily screen time and exercise habits in high school students.Ha: There is a difference in the distribution of daily screen time and exercise habits in high school students.H0: There is a…A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1300 registered voters and found that 670 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate.We test Ho: p=.5 Ha: p>.5 What is the -statistic for this test? What is the P-value of the test?An educator believes that the proportion of finance majors seeking to earn an MBA degree equals the proportion of management majors seeking to earn an MBA degree in the population. A random sample of 100 finance majors is taken and 24 indicate that they will seek to earn an MBA degree. Likewise, a random sample of 400 management majors is taken and 65 indicate that they will seek to earn an MBA degree. Using this information, test the educator’s claim at the 0.05 level