In the case of over-identification: а. you can use the F-statistic in a test of overidentifying restrictions. Ob. · you cannot use TSLS for estimation purposes. O c. you must rely on your personal knowledge of the empirical problem at hand to assess whether the instruments are exogenous. O d. OLS and TSLS yield the same estimate. e. All of the above. O f. None of the above.
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- Question 3 A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 500 households in that country, 285 say they own a pet. At α=0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H0 and Ha. (b) Identify the standardized test statistic first then 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.andres asked if there is a relationship between the quality of sneakers worn by a sample of 20 volleyball players and their average number of point scored per game. he computed r= +.21 and immediately claimed he had evidence that better-quality sneakers are related to better performance (a) is his claim correct? why? (b) what are Ho and Ha? (c) with alpha=.05, what is rcrit ?Question 11 A quality-assurance inspector periodically examines the output of a machine to determine whether it is properly adjusted. When set properly, the machine produces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. If the null and alternative hypotheses can be formulated to conclude that the machine is adjusted properly. At 5%% level of significance, find the critical value (s). (-1.43 , 1.43) (-1.435 , 1.435) -1.43 1.435
- QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis#1 Of the following, which one is an observational study? measuring the average strength of a batch of metal by stressing some sample pieces until they deform Asking people for their opinion on the taste of a new cereal tracking the temperature in a city over a five year period Checking the effectiveness of a new headache medicine by giving one group the new medicine and one group acetaminophenQUESTION 16 A survey of 80 men found that an average amount spent on St. Patrick's day of $48 with a standard deviation of $20. A similar survey of 75 women found they spent an average of $42 with a standard deviation of $16. When testing the hypothesis (at the 10% level of significance) that men spend more than women on St. Patrick's day, if the test statistic is 2.07 and the critical value is 1.28 then what is your conclusion concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis
- For each of the following situations, identify whether the appropriate test is a paired t-test (for parameter µd) or a two-sample t-test (for parameter µ1 - µ2). Briefly explain your answer. Sixty students were matched by initial pulse rate, with the two with the highest pulse forming a pair, and so on. Within each pair, one student was randomly chosen to drink a caffeinated beverage, while the other one drank an equivalent amount of water. Their pulse rates were measured 10 minutes later, to test whether caffeine consumption elevates pulse rates. To determine whether lack of sleep increases appetite, researchers recruited 50 volunteers and randomly assigned 25 of them to sleep at least 8 hours a night and the other 25 to sleep at most 5 hours a night, for 3 days. Calorie intake was recorded for all 50 volunteers for the 3-day period.The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5?State the appropriate null and alternative hypotheses. H0: ? = 5.5Ha: ? ≠ 5.5H0: ? = 5.5Ha: ? ≥ 5.5 H0: ? = 5.5Ha: ? < 5.5H0: ? = 5.5Ha: ? > 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.Reject the null hypothesis. There is sufficient evidence…For the situation described below, state the null and alternative hypotheses to be tested. (Enter != for ≠ as needed.) A new variety of pearl millet is expected to provide an increased yield over the variety presently in use, which has a mean yield of about 55 bushels per acre.
- a. Which of the two excel outputs above is the correct result of the data?b. What is the appropriate set of hypotheses for this test?c. From the given results above, which test is appropriate to test the significant difference between the heat-producing capacities of the coal from the mines?d. What is the t- critical value?e. What is the p-value?f. At α=0.05, what is the correct decision?QUESTION 11 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased; what is the critical value? (please round your answer to 2 decimal places)The result below gives the amount (mg/mL) of ephedrine hydrochloride found in pharmaceutical preparations of Ephedrine Elixir B.P. by two different methods: derivative ultraviolet spectroscopy and an official assay method (the nominal amount in each sample was 3 mg/mL). Test whether the results obtained by the two methods differ significantly.