Concept explainers
Two types of medication for hives are being tested to determine if there is a difference in the proportions of adult patient reactions. 20 out of a random sample of 200 adults given medication A still had hives 30 minutes after taking the medication. 12 out of another random sample of 200 adults given medication B still had hives 30 minutes after taking the medication. Test at a 1% level of significance.
Let A and B be the subscripts for medication A and medication B, respectfully. Then pA and pB are the desired population proportions.
What is the question/claim to be tested in symbols
the hypothesis is
Ho:
Ha:
which hypothesis matches the claim
test objective is to reject or support
level of significance a=.05
type of test (left, right, two-tailed)
the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST)
calculate the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST)
calculate the applicable test statistic
z or t=
p-value=
compare p-value to a (eg. p-value greater than or less than a)
decision (reject Ho/Failed to reject)
evidence (enough/not enough)
test objective is to (reject/support):
conclusion:
at ____ level of significance, _____ _____ that there is a difference in the proportions of adult patients who did not react after 30 minutes to medication A and medication B.
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
- Ride services are on the rise, such as Uber and Lyft. You wondered if the recent news reports of crime occurring with these ride services impacted the usage of them, especially with women. You decide to conduct a survey about ride service usage among male and female college students. The results showed that 19 males use ride services and 11 do not. While 12 females use ride services and 18 do not. Calculate the degrees of freedom:arrow_forwardResearchers conducted two surveys about teens are their use of social media. The first survey asked a random sample of 800 U.S. teens about their use of Instagram. A second survey asked the same questions to a random sample of 2253 Canadian teens. In these two studies, 73% of U.S. teens and 88% of Canadian teens said that they use Instagram. Use these results to answer the following questions about the proportion of U.S. and Canadian teens that use Instagram. Is there a statistically significant difference between the use of social media by U.S. teens and Canadian teens? No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values. Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram difference because both…arrow_forwardA poll done for Newsweek found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the Newsweek poll? Use a 1% level of significance.arrow_forward
- In Class Exercise You are asked to evaluate the effect of a fast acting blood pressure medication. You take a random sample of 200 people from the population and assign half of them at random to take the pill. Of the 100 you told to take the pil| 25 refuse and 75 take it. At the end of a week you check the blood pressure of the group assigned to get the pill and it is 120 on average and the blood pressure of the group assigned to control is 127.5 on average. 1. What is Y;, what is Z;, what is D;? 2. What is the first stage? Estimate and interpret 3. What is the reduced form? Estimate and interpret. 4. What is the effect of the drug on blood pressure?arrow_forwarduAde this test. C2. In this chapter, we examined the difference in educational attainment between ce and second-generation Hispanic and Asian Americans based on the proporuon h group Center's 2013 report, measuring the a percentage of each group that owns a honie. percentage group Percentage Owning a Home First-generation Hispanic Americans 43 N= 899 Second-generation Hispanic Americans 50 N= 351 58 First-generation Asian Americans N=2,684 51 Second-generation Asian Americans N=566arrow_forwardA music fan claims that R&B songs and Rap songs differ in terms of their positivity. The individual collected two independent random samples from the population of all songs on Spotify. Fifteen R&B songs and another fifteen Rap songs were collected and their Valence was recorded. Remember, the variable Valence is measured on a 0 to 1 scale. Songs with high valence sound more positive (e.g. happy, cheerful, euphoric), while songs with low valence sound more negative (e.g. sad, depressed, angry). We will subtract (R&B – Rap) and use the 10% significance level. Assume the Central Limit Theorem conditions hold. The data set is called RBRapSample31. Please import the data set into Rguroo or find it in our group. Define the population parameter in context and symbols in one sentence. State the hypotheses you would use to test the claim that a difference exists in the mean Valence between R&B and Rap songs using correct notation.arrow_forward
- I can't understand why the data is the percentage of surveyed parents.arrow_forwardThe correlation between midterm and final grades for 300 students is 0.620. If 5 points are added to each midterm grade, the new r will be: a. 0.124 b. 0.57 c. 0.62 d. 0.744arrow_forwardA student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 313 female factory workers and out of them 48 could not speak English. She then randomly selects 400 male factory workers and out of them 43 could not speak English. Test her claim at a=0.05 to see if she was right. The correct hypotheses are: O Ho:PF Рм (сclaim) O Ho:PF 2 PM HA:PF < PM(claim) O Ho:PF = pM HA:PF + PM(claim) Since the level of significance is 0.10 the critical value is -1.282 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak…arrow_forward
- A health journal conducted a study to see if packaging a healthy food product like junk food would influence children's desire to consume the product. A fictitious brand of a healthy food product-sliced apples-was packaged to appeal to children. The researchers showed the packaging to a sample of 348 school children and asked each whether he or she was willing to eat the product. Willingness to eat was measured on a 5-point scale, with 1 = "not willing at all" and 5 = "very willing." The data are summarized as x = 3.56 and s=2.19. Suppose the researchers knew that the mean willingness to eat an actual brand of sliced apples (which is not packaged for children) is µ = 3. Complete parts a and b below. a. Conduct a test to determine whether the true mean willingness to eat the brand of sliced apples packaged for children exceeded 3. Use α = 0.10 to make your conclusion. State the null and alternative hypotheses. Ho: H₂:arrow_forwardConsider a medical test with a false positive rate of 1% and a false negative rate of 2%. The frequency of the condition in people who take this test is 3% Q4. If this test was given to 100,000 healthy people, how many false diagnoses would there be? Q5. What is the overall percentage of people who test "positive" who are actually negative for the condition? Q6. What is the overall percentage of people who test "negative" who are actually positive for the condition? # wrong diag. = ??? % pos. = ??? % % pos. = ??? %arrow_forwardonly need help with the questions in the second picture attached.arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman