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- Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 226 numbers from this file and r = 87 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. 1) Test the claim that p is more than 0.301. Use α = 0.10. 2) What is the value of the sample test statistic? (Round your answer to two decimal places.) 3) Find the P-value of the test statistic. (Round your answer to four decimal places.) 4) If p is in fact larger than 0.301, it would seem there are too many numbers in…If chi-square is NOT statistically significant with a sample size of 100 and sample size is increased to 1,000, the new chi-square: a. will have the same likelihood of being statistically significant than the previous chi-square b. cannot tell until the new chi-square is calculated c. will be less likely to be statistically significant d. will be more likely to be statistically signficantShould p be assumed normal?(a) n = 125, π = .04 (b) n = 40, π = .30 (c) n = 200, π = .03
- the 2nd part pleaseWhy is the Chi- square test applicable to the given scenario?At ABC College it is estimated that at most 10% of the students use public transportation to the college. Does it seem to be a valid estimate if, in a random sample of 120 students, 25 students use public transportation. (Use α = .01)
- Several students were tested for reaction times (in thousandths of a second) using their right and left hands. (Each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) Results from five of the students are included in the graph to the right. Use a 0.05 significance level to test the claim that there is no difference between the reaction times of the right and left hands. 240- Click the icon to view the reaction time data table. 190- 140+ 100 200 Reaction time data table 150 Right Hand What are the hypotheses for this test? Right Hand Left Hand Let Ha be the mean of the differences of the right and left hand reaction times. 125 149 115 144 Ho: Hd 159 186 H: d # 0 189 221 195 210 What is the test statistic? t= -8.732 (Round to three decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill the answer box within your choice. (Round to three decimal places as needed.) Print Done O A.…NoneA researcher rejected the null where r(56) = .050, p = .27. Was the researcher correct in rejecting the null? Group of answer choices Yes No
- 7.05 In an experiment at Virginia Tech, 20 northern oak seedlings were exposed to a fungus. Half of the seedlings received 368 ppm of nitrogen (treatment) during planting, and the other half received no nitrogen (control). The stem weights in grams, at the end of 140 days were recorded as follows: Treat ment | .32 .53 .28 .37 .47 .43 .36 .42 .38 .43 Control .26 .43 .47 .49 .52 .75 .79 .86 .62 .46 Construct a 95% confidence interval for the difference in the mean stem weights between the treatment and control groups. Assume that the under- lying populations are normally distributed with equal variances.The proportion of people that own cats is 80%. A veterinarian believes that this proportion is significantly different than 80% and surveys 500 people. Test the veterinarian's claim at the a = 0.05 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? No Yes b. Verify np(1 - p) ≥ 10. Round your answer to one decimal place. np(1 - p) Test the claim: a. The null and alternative hypotheses are O H : }=0.8 Haμ0.8 Ho p≤0.8 Ha p > 0.8 . Ho: p=0.8 Ha: p 0.8 Ο Η : μ 0.8 Η : μ Σ 0.8 Ha : μ < 0.8 Ho: p=0.8 Ha p < 0.8 b. The test is Select an answer c. Based on the sample of 500 people, 75% owned cats. Calculate the test statistic. Round to two decimal places. x = d. Calculate the p-value. Round to four decimal places. e. Make a decision. Fail to reject the null hypothesis Reject the null hypothesis f. Make a conclusion. There is not sufficient evidence that the proportion of people who own cats is significantly different. There is sufficient…Can you please explain and help me do this since I am allowed to on a ti84? Thank you. ex:You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats.You sample 90 men, and 20% own cats.You sample 170 women, and 90% own cats.Find the proportion of the pooled samples, (pcpc), as a decimal, rounded to two decimal places.