(a) All four children develop Tay-Sachs disease. (b) Only one child develops Tay-Sachs disease. (c) The third child develops Tay-Sachs disease, given that the first two did not.
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![Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that their offspring will develop the disease is approximately 0.25. Suppose that a husband and wife are both carriers
and that they have four children. If the outcomes of the four pregnancies are mutually independent, what are the probabilities of the following events? (Round your answers to four decimal places.)
(a) All four children develop Tay-Sachs disease.
(b) Only one child develops Tay-Sachs disease.
(c) The third child develops Tay-Sachs disease, given that the first two did not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd8754a6-9838-44f8-ac24-fd52f02bad0b%2F28be27b5-9356-4161-be08-c836a2700709%2Fx2440pu_processed.png&w=3840&q=75)
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- A study was conducted to determine whether a woman's risk of transmitting HIV to her unborn child is different for the younger vs. the older the child. A sample of 100 HIV- infected women who gave birth to two children found that, when only one of the two siblings had HIV, it occurred in 7 of the 100 older siblings and in 15 of the younger siblings, as shown in the table below. Younger sibling HIV? Yes No Yes 7 Older sibling HIV? No 15 76 (a) We are not interested in the case when both siblings are HIV positive or the case when both are not HIV positive. We are only interested in the two cases in which one sibling is HIV positive and the other is not (the 7 and 15). Test Ho: the probability of being HIV positive is the same for older siblings as it is for younger siblings along with the alternative HA: the probabilities are different. Use a = .10. (b) Test the hypothesis if HA is directional, that the younger sibling (15 in the table) is more likely than the older sibling to have HIV.…A research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 19 offspring birthed.They then observe that 13 are female.Use a sign test to test the indicated hypothesis.What is the obtained value?An online clothing retailer is testing a new e-mail campaign by sending one version of the e-mail with the word “free” in the subject line (version A) to a group of 1,500 customers and another version of the e-mail with word “discount” in the subject line (version B) to a different group of 1500 customers. After tracking the responses to the two versions of the e-mail advertising, the retailer finds that 75 responded to version A and 105 responded to version B. At 0.05 significance level, can it be concluded that the response rate for version B is higher than the response rate to version A What is your decision? Enter “R” if your decision is to reject the null hypotheses. Enter “F” if the decision is fail to/do not reject the null hypotheses. Your answer (R/F) is: Which of the followings is the most appropriate conclusion for the hypotheses test? Enter the number corresponding to the most appropriate conclusion in the answer box. For example, if statement number 2 is the most…
- You may need to use the appropriate appendix table or technology to answer this question. In a recent poll six hundred adults were asked a series of questions about the state of the economy and their children's future. One question was, "do you expect your children to have a better life than you have had, a worse life, or a life about the same as yours?" Suppose the responses showed 251 better, 303 worse, and 46 about the same. Use the sign test and a = 0.05 to determine whether there is a difference between the number of adults who feel their children will have a better life compared to a worse life. State the null and alternative hypotheses. (Let p = the proportion of adults who feel their children will have a better life.) OH: P≥ 0.50 H₂: P 0.50 O H₂: P = 0.50 H₂: P = 0.50 O Ho: P < 0.50 H₂: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = -2.21 x Find the p-value. (Round your answer to four decimal places.) p-value = 0.0192 X What is…A research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 13 offspring birthed.They then observe that 11 are female.Use a sign test and a alpha of .05 to test the indicated hypothesis.What is the critical value?We know that SARS-CoV-2 was circulating, perhaps widely, in southern California as early as the beginning of February 2020. Many cases, particularly in young people, are mild or even asymptomatic. Health clinics now provide antibody tests, which are tests for whether your immune system has previously been exposed to the SARS-CoV-2 virus and recovered. People who have these antibodies may have immunity to future exposure. Which of the following is/are synonymous with P(COVID-19)? a. Prevalence b. Specificity c. 1 - Specificity d. Sensitivity
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