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- What is meant by the sample space of an experiment?What is a sample space?A meteorologist is concerned about the number of tornadoes in her county. Using data from the past 10 years, she randomly selected 250 days from the peak season and found that a tornado was reported on 22 of these days. She conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of days with a tornado during peak season is greater than 5%. (a) H0:p=0.05; Ha:p>0.05, which is a right-tailed test. (b) Use Excel to test whether the true proportion of days with a tornado during peak season is greater than 5%. Identify the test statistic, z, and p-value from the Excel output, rounding to three decimal places.
- A meteorologist is concerned about the number of tornadoes in her county. Using data from the past 10 years, she randomly selected 250 days from the peak season and found that a tornado was reported on 22 of these days. She conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of days with a tornado during peak season is greater than 5%. (a) H0:p=0.05; Ha:p>0.05, which is a right-tailed test. (b) Use Excel to test whether the true proportion of days with a tornado during peak season is greater than 5%. Identify the test statistic, z, and p-value from the Excel output, rounding to three decimal places. Provide your answer below: test statistic= p-value=The p-value for a left-tail hypothesis test on μ is determined to be .17. Given the .05 level of significance, the null hypothesis a. could be rejected, depending on the sample size. b. should be rejected. c. has been designed incorrectly. d. should not be rejected.A state policeman has a pet theory that people who drive red cars are more likely to drive too fast. Onhis day off, he borrows one of the department’s radar guns, parks his car in a rest area, and measures theproportion of red cars that are driving too fast. (He decides ahead of time to define “driving too fast” asexceeding the speed limit by more than 5 miles per hour.) To produce a random sample, he rolls a dieand only includes a car in his sample if he rolls a 5 or a 6. He finds that 18 of 28 red cars are driving toofast, and 75 of 205 other cars are driving too fast. please run a 4 step process(significance test) and interperet the P-value for ap stats
- In the midst of labor–management negotiations, the president of a company argues that the company’s blue-collar workers, who are paid an average of $30,000 per year, are well paid because the mean annual income of all blue-collar workers in the country is less than $30,000. That figure is disputed by the union, which does not believe that the mean blue-collar income is less than $30,000. To test the company president’s belief, an arbitrator draws a random sample of 350 blue-collar workers from across the country and asks each to report his or her annual income. If the arbitrator assumes that the blue-collar incomes are normally distributed with a standard deviation of $8,000, can it be inferred at the 5% significance level that the company president is correct? ONLY USE EXCEL AND PLEASE SHOW ALL STEPS AND EXCEL COMMANDS. Incomes 29109 21546 30417 10104 19279 27578 23581 26949 35423 12971 37895 31308 28256 31494 31552 34440 33347 26768 25225…Suppose the researcher wants to investigate the mean number of hours worked per week by female in this Caribbean island. It is believed that women work no more than 40 hours per week. Assuming the respondents in the labour force dataset represents a random sample of respondents in this country state null and alternate hypotheses.Do U.S census bureau conducts annual survey to obtain information on the percentage of the voting age population that is registered to vote. Suppose that 385 employed person and 473 unemployed persons are independently and randomly selected, in that 202 of the employed persons and 185 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers (P1), who have registered to vote, exceeds the percentage of an unemployed workers (P2), who have registered to vote? Use a a significance level of a= 0.1 for the test. 1. compute the value of the test statistic. Round to two decimal places. 2. determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to two decimal places. 3. make the decision for the hypothesis test.
- Do U.S census bureau conducts annual survey to obtain information on the percentage of the voting age population that is registered to vote. Suppose that 385 employed person and 473 unemployed persons are independently and randomly selected, in that 202 of the employed persons and 185 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers (P1), who have registered to vote, exceeds the percentage of an unemployed workers (P2), who have registered to vote? Use a a significance level of a= 0.1 for the test. 1.state the knoll and now turn to hypothesis for the test. 2.find the values of the two sample poroportions,p1 and p2.round to three decimal places. 3.compute the weighted estimate of p, p. Round to three decimal places. 4.compute the value of the test statistic. Round to two decimal places. 5.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to two decimal places. 6.make the decision…1. If the significance level α for hypothesis test is fixed at a certain level and the sample size is decreased, holding everything else fixed, what effect will this have on β, the probability of making a type II error? β will also remain fixed β will decrease β will increase β will approach .5 None of the above 2. If the significance level α for hypothesis test is decreased, holding everything else fixed, what effect will this have on β, the probability of making a type II error? β will also remain fixed β will decrease β will increase β will approach .5 None of the above 3. If the underlying variance of the characteristic under study turns out to be larger than what was assumed for a sample size calculation, holding everything else fixed, what effect will this have on β, the probability of making a type II error? β will also remain fixed β will decrease β will increase β will approach .5 None of the aboveIs there a difference between community college statistics students and university statistics students in what technology they use on their homework? Of the randomly selected community college students 55 used a computer, 88 used a calculator with built in statistics functions, and 20 used a table from the textbook. Of the randomly selected university students 47 used a computer, 85 used a calculator with built in statistics functions, and 36 used a table from the textbook. Conduct the appropriate hypothesis test using an αα = 0.10 level of significance. What is the correct statistical test to use? Goodness-of-Fit Paired t-test Homogeneity Independence What are the null and alternative hypotheses?H0:H0: Type of student and type of technology used for statistics homework are dependent. The distribution of the technology that community college statistics students use for their homework is the same as the distribution of the technology that university statistics students use for…