A sample of 800 truck drivers from Minnesota were interviewed randomly and 316 answered they like tunnels. Determine if the sample evidence shows that less than half of the truck drivers like tunnels. Use α=0.05.
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A sample of 800 truck drivers from Minnesota were interviewed randomly and 316 answered they like tunnels. Determine if the sample evidence shows that less than half of the truck drivers like tunnels. Use α=0.05.
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- 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 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 medical research team conducted a study to test the effect of a cholesterol reducing medication. At the end of the study, the researcher found that out of the 4700 randomly selected subjects who took the medication, 301 died of heart diseases. Of the 4300 randomly selected subjects who took a placebo, 357 died of heart disease. At α = 0.01, can you conclude that the death rate due to heart disease is lower for the subjects who took the medication than those who took the placebo? d. Find the p-value and interpret its meaning? e. Decide whether to reject or fail to reject the null. f. Interpret the results in context of the claim. g. Make an inference of this claim using the Confidence Interval Method.
- 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…A medical research team conducted a study to test the effect of a cholesterol reducing medication. At the end of the study, the researcher found that out of the 4700 randomly selected subjects who took the medication, 301 died of heart diseases. Of the 4300 randomly selected subjects who took a placebo, 357 died of heart disease. At α = 0.01, can you conclude that the death rate due to heart disease is lower for the subjects who took the medication than those who took the placebo?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 drug company claims that 42% of patience with headaches are cured by they medicine. However a lab gives the drug to 60 patience of whom 23 are cured. Can we say the the success rate is significantly lower than the drug company claims? Use =.alpha.10Natalie conducted a study on the effects of triclosan on three algae populations. She collected an algae sample from three different ponds, counted the number of algae cells present in the sample, and then exposed them to a 5 ppm aqueous solution of triclosan and re-counted the number of algae cells in each sample. Using a paired t-test, she obtained a p-value of 0.083 when comparing the original algae population sizes to the population sizes after exposure to triclosan. Natalie concluded that triclosan is toxic to algae because her data for the three samples showed a trend toward a reduction in population size. What could Natalie do to show a statistically significant effect of triclosan on algae population size? Justify your response.In a winter with a flu epidemic, a well-known pharmaceutical company studied 2,000 babies to determine if the company's new drug was effective after two days. Among 120 babies who had the flu and were given the drug, 29 were cured within two days. Among 280 babies who had the flu but were not given the drug, 56 were cured within two days. Is there any significant indication to support the company's claim of the drug's effectiveness? Note:The exercise in the image is the original, it is in Spanish, but it is easy to understand.
- At any age, about 20% of American adults participate in fitness activities at least twice a week. However, these activities change as people get older, and occasionally participants cease to be older as they age. In a local survey of n = 100 adults over 40, a total of 15 people indicated that they participated in these activities at least twice a week. Does this data indicate that the percentage of participation for adults over 40 years of age is considerably less than the 20% figure? Find the p-value and use it to draw the appropriate conclusions.a sample of 4 students was taken and information about daily pocket money in tl (Y) and spending in tl (x) was collected