(a) What is power? (b) Why do researchers wantto maximize power? (c) Is power more importantwhen we reject or when we retain H? Why?(d) Why is a one-tailed test more powerful thana two-tailed test? 14. We ask if visual memory ability for a sample of 25 artmajors (X= 49) is better than that for a populationof engineering majors (u = 45 and ax= 14). Higherscores indicate a better memory. (a) What is the pre-dicted relationship here? (b) Is this a one- or a two-tailed test? (c) In words, state Ho and H. (d) ComputeZab: (e) What is z? (f) What do you conclude aboutdifferences in visual memory ability? (g) Report yourresults using the correct format.crit

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 9E

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Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?
Conditional probability If 40 of the population have completed college, and 85 of college graduates are registered to vote, what percent of the population are both college graduates and registered voters?
Conditional probability About 25 of the population watches the evening television news coverage as well as the soap operas. If 75 of the population watches the news, what percent of those who watch the news also watch the soaps?
A hypothesis test produces a t statistic of t = 2.30. If the researcher is using a two-tailed test with a = .05, how large does the sample have to be in order to reject the null hypothesis?
Significance Levels Test A is described in a journal article as being significant with "P<0.01"; Test B in the same article is described as being significant with "P=0.10". Using only this information, which test would you suspect provides stronger evidence for its alternative hypothesis?
a hypothesis test produces a t statistic of t=2.3. if the researcher is using a two tailed test with a=0.05 how large does the sample have to bw in order to reject the null hypothesis?
How profitable are different sectors of the stock market? One way to answer such a question is to examine profit as a percentage of stockholder equity. A random sample of 32 retail stocks was studied for x1, profit as a percentage of stockholder equity. The result was x1 = 13.2. A random sample of 33 utility (gas and electric) stocks was studied for x2, profit as a percentage of stockholder equity. The result was x2 = 10.0. Assume ?1 = 4.2 and ?2 = 2.6. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some cases, this choice will increase the P-value by a small amount or increase the length of the confidence interval, thereby making the answer slightly more "conservative." (a) Let ?1 represent the population mean profit as a percentage of stockholder equity for retail stocks, and let ?2 represent the population mean profit as a percentage of stockholder equity for utility stocks. Find a 95% confidence interval for ?1 − ?2.…
True or false: If P = 0.02, then a) The result is statistically significant at the 5% level. b) The result is statistically significant at the 1% level. c) The null hypothesis is rejected at the 5% level. d) The null hypothesis is rejected at the 1% level.
3. A recent report stated that the proportion of teens that vape has decreasedfrom the prior year. The authors randomly selected a group of 600 teensfrom the current year and 126 of them vape. They randomly selected 800teens the prior year and 216 of them vaped. Is there significant evidencethat the proportion decreased?a. State the hypotheses to be tested.b. Compute the value of the pooled proportion
How profitable are different sectors of the stock market? One way to answer such a question is to examine profit as a percentage of stockholder equity. A random sample of 32 retail stocks such as Toys 'R' Us, Best Buy, and Gap was studied for x1, profit as a percentage of stockholder equity. The result was x1 = 14.0. A random sample of 36 utility (gas and electric) stocks such as Boston Edison, Wisconsin Energy, and Texas Utilities was studied for x2, profit as a percentage of stockholder equity. The result was x2 = 10.3. Assume that ?1 = 4.5 and ?2 = 3.0. (a) Categorize the problem below according to parameter being estimated, proportion p, mean ?, difference of means ?1 – ?2, or difference of proportions p1 – p2. Then solve the problem. p1 – p2?1 – ?2 ?p (b) Let ?1 represent the population mean profit as a percentage of stockholder equity for retail stocks, and let ?2 represent the population mean profit as a percentage of stockholder equity for utility stocks. Find a 99%…
1. A researcher observed a rat respond for a food reward by pressing one of the three levers in a cage. Pressing the lever to the right (R) produced no food reward. pressing the lever to the left (L) produced a single food pellet, and pressing the lever at the center (C) produced two food pellets. Because the center level produced the largest reward, the researcher hypothesized that the rat would press this lever most often. Each trial ended when the rat produced a level. The researcher recorded lever pressing for 30 trials. L, L, R, L, R, C, R, L, C, L, L, C, C, C, R, C, R, C, L, C, C, L, C, C, C, L, C, C, C, C, C - Create the appropiate graph for this data - Do these data support the hypothesis? Explain. 2. Which scales of measurement are assumed to be discrete? What does this mean? Which scales of measurement are assumed to be continuous? What does this mean? 3. What type of graph should you create to visualize the following frequency data? Explain. -…
Levene’s test of equality of variances shows: 1. The result is significant, so the variances are equal 2. The result is significant, so the variances are unequal 3. The result is nonsignificant, so the variances are equal 4. The result is nonsignificant, so the variances are unequal From the results, what might you conclude about the use of the t test? 1. Since the variances are equal, the assumption of equal variances is met 2. Since the variances are equal, the assumption of equal variances is not met 3. Since the variances are unequal, the assumption of equal variances is met 4. Since the variances are unequal, the assumption of equal variances is not met

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