For cross 2: Total (N) = 583 n= 4 Expected (E) frequency = Total/n = 583/4=145.75 %3D Observed (0) Expected (E) (0-E)^2/E Phenotypes Red Eyes /Normal wings White eyes /Normal wings Red eyes/vertical wings White eyes/Vertical wings (0-E)^2 248 145.75 10455.0625 71.7328 234 145.75 7788.0625 53.4344 57 145.75 7876.5625 54.0416 44 145.75 10353.0625 71.0330 Total (N) 583 Chi-square test statistic (y') = 250.2419
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- A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rates in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The physician uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is computed as t≈5.627, which has 10 degrees of freedom. What range contains the p-value?A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rate in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The test statistic is t≈5.627, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the heart rate in the 75∘F room and the heart rate in the 50∘F room is significantly not equal to…An independent research group is interested in showing that the percentage of babies delivered through the the Cesarian section decreases. For the past years, 20% of the babies were delivered through the Cesarian section. The research group randomly inspects the medical records of 144 births and finds that 25 of the births were by Cesarian section. Can the research group conclude that the percent of births by Cesarian section has decreased at 5% level of significance?
- The variation of Y around its mean can be decomposed into which two parts?A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.A cream with alpha-hydroxy acid, advertises that it can reduce wrinkles and improve the skin. In a study published in Archives of Dermatology (June 1996), 49 middle-aged women used a cream with alpha-hydroxy acid for 22 weeks. At the end of the study period, a dermatologist judged whether each woman exhibited any improvement in the condition of her skin. The results for the 49 women (where I = improved skin and N = no improvement) were: 32 I’s and 17 N’s. (a) Find a 95% confidence interval for p, the true population proportion of middle-aged women with improved skin after using this cream. Interpret the interval. (b) What assumptions are required for the confidence interval of part (a) to be statistically valid? (c) Are the assumptions for part (b) reasonably satisfied? Explain.
- A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.A company specializing in building robots that clean your house has found that the average amount of time kids spend cleaning their houses is about 2 hours per week with a margin error of 15 minutes. Which of the following is the correct window of time t (in minutes) we can expect the population of kids to take cleaning their rooms?The chi square statistics please answer and show work on solving x2 critical value and x2
- What is your conclusion using a one sided z test if you assume α=0.01 and test the hypothesis that the proportion of colic is less among infants of mothers who don’t smoke than among the infants of mothers who smoke?Suppose the relationship between Y and X is given by: Y = 25 - 3X + error By how much does the expected value of Y change if X decreases by 2 units?According to Johns Hopkins Medicine, the healthcare providers consider a fever to be 100.4◦F. Data was acquired in a health center that observed 24 adults with COVID- 19. We want to find out if the sample mean of 104◦F body temperature of adults with COVID-19 is significantly higher than the body temperature of a person with fever. Consider the sample SD of 10.2◦F.