Chi-square tests are common in genetics. A gene called ACTN3 encodes a protein which functions in fast-twitch muscles. different variants of this gene, classified as RR, RX, or XX. Computer output is shown for testing whether the proportions in categories are 0.25, 0.5, and 0.25, respectively. The observed counts come from a study¹ conducted in Australia. Chi-Square Goodness-of-Fit Test for Observed Counts Test Contribution Category Observed Proportion Expected to Chi-Sq RR 130 0.25 109 RX 226 0.50 218 4.04587 0.29358

A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow. Student Math Writing 1 540 474 2 432 380 3 528 457 4 574 612 5 448 420 6 502 520 7 480 430 8 499 459 9 610 615 10 572 535 11 390 329 12 593 613   Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score − writing score.)   1. Calculate the test statistic. (Round your answer to three decimal places.)   2. Calculate the p-value. (Round your answer to four decimal places.) p-value =

Solve in digital format

A power analysis is a calculation used to estimate the smallest sample size needed for an experiment, given a required significance level, statistical power, and effect size. It helps to determine if a result from an experiment or survey is due to chance, or if it is genuine and significant. Think of an experiment or a survey that you have conducted or will conduct in your field of interest and use it to discuss the following questions: 1. Describe the importance of power analysis in an experiment. 2. How will you determine the appropriate significance level for a power analysis? 3. Explain, in your own words, how you will conduct a power analysis in your experiment or survey.

An unbiased sample is a good representation of the population. True or False

77​% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. What is the mean?   What is the variance?   what is the standard deviation?    Interpret the results

Weights​ (kg) of poplar trees were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the accompanying table. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same mean weight. Is there a treatment that appears to be most​ effective?   LOADING... Click the icon to view the data table of the poplar weights. No Treatment Fertilizer Irrigation Fertilizer and Irrigation   1.24 0.99 0.09 0.93   0.65 0.94 0.63 1.41   0.41 0.55 0.13 1.06   0.15 0.51 0.88 1.49   1.31 1.01 0.84         Determine the null and alternative hypotheses.   H0​: ▼   mu 1 greater than mu 2 greater than mu 3 greater than mu 4μ1>μ2>μ3>μ4 Exactly two of the population means are equal.Exactly two of the population means are equal. Not all of the population means are equal.Not all of the population means…

A clinical trial is conducted to compare a new pain re- liever for arthritis to a placebo. Participants are randomly assigned to receive the new medication or a placebo, and the outcome is pain relief within 30 minutes. The data are shown in Table 7–8. Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance.   Pain Relief No Pain Relief New Medication 44 76 Placebo 21 99   How would I use excel with this?

You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 288 times. The results are displayed in the table below.  Use an αα = 0.10 significance level. outcome frecuency expected frequency spades 48   hearts 72   diamonds 87   clubs 81     The degrees of freedom = ______ The test-statistic for this data =______(3 decimal places) The p-value for this sample =-________( four decimal places.)   The p-value is ______α   Based on this, we should_______   Thus, the final conclusion is... There is insufficient evidence to conclude that the distribution of suits is not uniform. There is insufficient evidence to conclude that suits and cards are dependent. There is sufficient evidence to conclude that the distribution of suits is uniform. There is sufficient evidence to conclude that suits and cards are dependent. There is sufficient evidence to conclude that the…

in studying the occurrence of genetic characteristics, the following sample data were obtained. At a 0.05 significance level, test the claim that the characteristics occur with the same frequency. (12)   Characteristic       A         B         C        D         E         F__ Frequency 28        30       45      48       38      39