In a flowering plant species, snapdragons, variation in flower color is determined by a single gene. RRgenotype individuals are red, Rr genotype individuals are pink, and rr genotype individuals are white. In a cross between two heterozygous (Rr) individuals, the expected ratio of red:pink:white-flowered offsprings is 1:2:1. Biologists did two cross experiments, and ask whether the results differ significantly from the expected.   (a) The first cross experiment ends up with 40 offsprings, including 10 red, 21 pink, and 9 white.    Write the null and alternative hypothesis for the chi-square test.           Interpret the p-value and state the conclusion from your test.     (b) The second cross experiment ends up with 4000 offsprings, including 1000 red, 2100 pink, and 900 white.               This time, can you reject the null hypothesis? why?       (Bonus question) Do the proportions of observed data in two experiments differ? Did the chi-square test results from these two experiments differ? Why?

Q: as only children (no siblings). However, in the special program for talented and gifted children, 91…

A: According to the given information in this question We need to apply z test for one population…

Q: Question 1 Two independent random samples selected from two normal populations gave the following…

A:

Q: Question 15 To build a 90% CI for the mean of a population, you take a random sample and find these…

A: From the provided information, Sample size (n) = 10 Confidence level = 90%

Q: QUESTION 13 "Compared to an independent-measures design, a repeated-measures study is more likely to…

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: Question 4 Lucille is interested in the effects of alcohol consumption on style of play while…

A: ANOVA is used to check the difference between three or more than three groups and to check the…

Q: The following is a set of hypotheses, some information from one or more samples, and a standard…

A: Given, Hypothesis : H0 : p1 =p2 Ha : p1 < p2 n1 = 170 ,  p^1 = 0.17 n2 = 80 ,  p^2 = 0.23 The…

Q: Question 3 3. We get two random samples from two normal populations. The first sample yields 5.5,…

A: Given, n1 = 6 5.5  8.7  6.8  8.9   7.9  8.5   n2 = 5 15.8    14.3   17. 9   15.6    14.7   First…

Q: If the null and alternative hypotheses can be used to decide whether the new filtration system could…

A: The difference is, Current Filter New Filter Difference 7.6 7.3 0.3 4.1 7.2 -3.1 10.4 6.8…

Q: QUESTION 2 The Centers for Disease Control and Prevention reported in 2012 that 1 in 78 American…

A: We have given that. Probability (p) = 1/78 = 0.0128205 Random sample (n) = 200  And (1-q) = 1-p =…

Q: QUESTION 6 "A researcher is interested in knowing whether fans of "The Office" watch more Netflix…

A: Given that,  A researcher is interested in knowing wheather fans of "The office" Watch more Netflix…

Q: Question 2 In a city, according to a 1990 demographic report based on the census result, the average…

A: Given: The average daily spending on food per person is $75 (μ0). Let n be the sample number of…

Q: QUESTION 5 Any basketball fan knows that Shaquille O'Neal, one of the NBA's most dominant centers of…

A: Overall made free throw percentage represents the population proportion of the distribution. In a…

Q: The table below summarizes baseline characteristics of patients participating in a clinical trial.…

A: Decision criterion: If p-value is less than or equal to level of significance, then there are…

Q: QUESTION 13 "Compared to an independent-measures design, a repeated-measures study is more likely to…

A: Q(13) Hint: We need to know the difference between independent measure study and repeated measure…

Q: QUESTION 12 If a random sample of size 20 is drawn from a normally distributed population with mean…

A: Given  n=20, mu=23,s=6.39 We want to find the P(Xbar>24.898)= ?

Q: QUESTION 28 Most professional health societies recommend that college students should sleep, on…

A:

Q: Question 20. (WHY DOCTORS WEIGH INFANTS) In a hospital, a doctor noted that the weight of 500…

A: Solution: Let X be the weight of  infants born during the year is normally distributed with mean…

Q: QUESTION 3 Researchers conducted two surveys about teens are their use of social media. The first…

A: Given: Formula Used:

Q: The null and alternative hypotheses for a population proportion, as well as the sample results, are…

A: Given: Hypotheses: H0: p=0.5Ha: p<0.5 Sample size n=100 Number of favorable cases X=38 Sample…

Q: A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is…

A: Obtain the 95% confidence interval on variance rod diameter. The 95% confidence interval on variance…

Q: Question 4 In ANOVA, the test statistic (F) represents which of the following? OF=variation among…

A: Solution In ANOVA F statistic is the Ratio of the MST to MSE .

Q: QUESTION 8 Any basketball fan knows that Shaquille O'Neal, one of the NBA's most dominant centers of…

A: Given that Shaquille O' Neal has overall 53.3% free throw over the course of his career and a simple…

Q: QUESTION 7 Any basketball fan knows that Shaquille O'Neal, one of the NBA's most dominant centers of…

A:

Q: Question 20 The table below contains summary statistics about the 2015 annual sales growth (in…

A: ANOVA is a statistical analysis method used to compare among group means.

Q: A trucking firm is considering the installation of a new, low-restriction engine air filter for its…

A: Here, we use paired t test. The null and alternative hypothesis is, H0:μd=0Ha:μd<0 The test…

Q: QUESTION 19 Gueutal et al. (1995) tested the hypothesis that pregnancy would have an effect on…

A: Hypothesis Testing: It is basically a comparison of the statistical measures of the data with one…

Q: QUESTION 12 "In an analysis of variance, differences between participants contribute to which of the…

A: Question 12: The statement is "In an analysis of variance, differences between participants…

Q: In a test of the effectiveness of a new battery design, 16 battery-powered music boxes are randomly…

A: Let x1 and x2 are the random variables representing new battery type and old battery type…

Q: Formulate the null and alternative hypotheses that can be used to decide whether the new filtration…

A: A test is set up in which each of 10 trucks makes the same run twice once with the old filtration…

Q: The Pinelands Perks Coffee Shop at Pinelands General Hospital recently monitored its late morning…

A:

Q: Question 5 If using a within-groups design results in a larger F statistic, this also means: Opower…

A: We have given that,  If using a within-group design results in a larger F statistic, this also mean?…

Q: QUESTION 10 A retail chain would like to test if a difference exists between the variability of…

A: x1¯=16,x2¯=18 s1=∑i=1n1 xi-x1¯2n1-1=2.64575

Q: Question 2 In the spring of 2014, the U.S. Congress considered a bill that would prevent Americans…

A: Note , Since you have posted a question with multiple sub-parts, we will solve first three sub-…

Q: QUESTION 2 Private sector managing directors are of the opinion that 50% of the corporate,…

A: Given : Claim : The proportion of executives that rate cash flow as the most important indicator of…

Q: QUESTION 42 What is the appropriate statistical test to assess whether there is an association…

A: Given: Two variables obesity status and incidence of cardiovascular disease. The counts or…

Q: QUESTION 7 A political analyst interviews three groups of voters, democrats, republicans, and…

A: We have given two different situations and we have to determine the test used for those situations.

Q: Question 1 The students in 3 sections of a statistics class were each taught by 3 different teaching…

A: Hypotheses: Null hypothesis: There is no difference in the average grades for the 3 teaching…

Q: Question 8: A 1991 survey of 1984 graduates of different colleges in the East of the U.S.,…

A: Solution

Q: Question 1 The students in 3 sections of a statistics class were each taught by 3 different teaching…

A: Given: Total sample size N = 6+6+6 = 18 Significance level α = 0.05 Formula used: F-statistic  =…

Q: UESTION 4 PART A- What is the standard error of the correlation coefficient for the association of…

A: Given: n = 17 Formula Used: Correlation coefficient r = n∑XY-∑X∑Yn∑X2-∑X2n∑Y2-∑Y2 Standard error =…

Q: QUESTION 5 Any basketball fan knows that Shaquille OʻNeal, one of the NBA's most dominant centers of…

A: Given: P = 53.3% P = 0.533 n = 39 X = 26 Formula Used:

Q: Question 1. A researcher wonders if the currently-believed global male-births proportion value of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Question 12 In a single-factor ANOVA problem involving five populations or treatments with a random…

A: Given : SSTr = 16.1408  SSE = 37.3801 n = 5*4 = 20 k = 5

Q: QUESTION 47 Suppose that the number of typo errors in a textbook is a Poisson distributed random…

A: Given,A random variable X~Poisson(λ=2/100 pages)P(X=x)=e-λ×λxx! ; x≥0and we know that in poisson…

Q: QUESTION 22 "A psychotherapist investigating whether clients revealed more information while sitting…

A: Given 22) Claim The clients revealed more information while sitting in an easy chair or when lying…

Q: Question 6 A study on a range of automotive lubricants reported the following data on…

A: Given

Q: QUESTION 6 Two machines of the same type are used to produce an item. Machine 1 produces 5%…

A:

Q: QUESTION 22 "A psychotherapist investigating whether clients revealed more information while sitting…

A:

Q: QUESTION 12 'In an analysis of variance, differences caused by treatment effects contribute to which…

A: In an analysis of variance ,differences caused by treatment effects contribute to the, Ans =both…

Q: newspaper published an article about a study in which researchers subjected laboratory gloves to…

A: Given : Pooled​ proportion: 0.37 Test​ statistic, z: 11.9063 Critical​ z: 2.3264 P-value: 0.0000…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.