How do you derive the numbers .99928 and .9943 in part d of this question. I only need help with part d.
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How do you derive the numbers .99928 and .9943 in part d of this question. I only need help with part d.
Thank you.
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- 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?A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 79%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in mot e than 79% of married couples. In a random sample of 225 married couples who completed her program, 194 of them stayed together. is there enougn evidence to suppore che marriage counselor's claim at the 0.10 level of sionificance: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.
- Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. The p-value for the test of whether the proportion of people who trade in their old cars to a car dealer has decreased is 0.0427. If we were to test this hypothesis at the 5% level of signficance, what can you conclude concerning the null hypothesis?A certain training device measures reaction times of users by illuminating lights, one at a time, and measuring the time it takes the user to press each light to turn it off. The makers of the device are marketing it for high-level training, saying that even among professional athletes, the proportion who can score the top ranking of "light speed" is less than 22% . As a fitness trainer who wants to buy the device to attract more customers, you want to feel comfortable that the claim made by the makers is correct. To test the claim, you decide to perform a hypothesis test. To do so, you rent the device and have a random sample of 130 professional athletes use it; 26 score a ranking of "light speed." You confirm that it is appropriate to perform a Z -test. Why is a Z -test appropriate? Find z , the value of the test statistic for your Z -test. Round your answer to three or more decimal places. =zA recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percentage. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: plocal ≠ pnational H0: plocal > pnational H0: plocal = pnational H0: plocal < pnational Part (b) State the alternative hypothesis. Ha: plocal < pnational Ha: plocal = pnational Ha: plocal ≠ pnational Ha: plocal > pnational…
- Historically, Olympic officials have reported testosterone levels, in general, should be µ = 538 ng/dL, with σ = 189, with x being normally distributed. Summer Olympic sprinters (n = 8) from the U.S. were tested for testosterone levels the morning after the opening ceremonies. Their sample mean was x̄=688 ng/dL. Do these data indicate that the sprinters had an overall average testosterone level greater than 538? Use α = .05. State α, Ho, H1, p-value, rejection, or non-rejection, and be certain to interpret your results.A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 67 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them. Conduct a hypothesis test at the 5% level.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Round your answers to four decimal places.) P'local − P'national ~ ,A study of 200 randomly selected occupants in passenger cars and 250 randomly selected occupants in pickup trucks show that 182 of occupants in passenger cars and 208 of occupants in pickup trucks wear seat belts. At α=0.10, can you reject the claim that the proportion of occupants who wear seatbelts is the same for the passenger cars and pickup trucks?
- A greenhouse wants to test the effectiveness of alternative fertilizers on plant growth. One sample of 400 is treated with brand A & another 400 was treated with brand B. After 2 weeks results showed that 150 bloom from brand A and 130 bloom from brand B. What can it conclude at 0.05 level of significance that the 2 brands are not equally effective?. What is the computed value and decision?Many states have attempted to reduce the blood alcohol level at which a driver is declared to be legally drunk. There has been resistance to this change in the law by certain business groups who have argued that the current limit is adequate. A study was conducted to demonstrate the effect on the reaction time of a blood-alcohol level of .1%, the current limit in many states. A random sample of 25 persons of legal driving age had their reaction time recorded in a standard laboratory test procedure before and after drinking a sufficient amount of alcohol to raise their blood alcohol to a .1% level. The difference (After − Before) in their reaction times in seconds was recorded as follows: 0.01 0.02 0.04 0.05 0.07 0.09 0.11 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.30 0.31 0.31 0.32 0.33 0.35 0.36 0.38 0.39 0 .39 0.40 Graph the data and assess whether the population has a normal distribution. Is there…An independent research group is interested to show that the percentage of babies delivered through Cesarean Section is decreasing. Fof the past years, 20% of the babies were delivered through Cesarean Section. The research group randomly inspects the medical records of 144 births and finds that 25 of the births were by Cesarean Section. Can the research group conclude that the percent of births by Cesarean Section has decreased at 5% level of significance?