Are mathematically minded people more likely to be left-handed than those who aren't so interested in maths? In a survey of 85 randomly selected students taking second year mathematics courses, 9 are left-handed. In the general population, about 11% of people are left-handed. Does this provide evidence that second year maths students are more likely to be left-handed than would be expected based on the general population? Let π be the true proportion of people who are left-handed. Then H0: Number and Ha: Number . (Enter your numerical answers as exact values) The test statistic is z= Number . (Enter your answer correct to 3 decimal places) The test statistic comes from a N( Number , Number ) distribution if H0 is true. (Enter the exact values) The P -value is Number . (Enter your answer correct to 3 decimal places) Hence, there is evidence against H0 , that is, there is evidence that mathematically minded people are more likely to be left-handed. What assumptions did you make? Do these assumptions seem reasonable? Tick all answers that apply. The data are normal (Does not seem reasonable, from the normal quantile plot.) The sample mean is normally distributed (Seems reasonable for a sample size of 85, by the Central Limit Theorem, and since data aren't strongly skewed with big outliers.) We have a random sample. (Seems reasonable, from what we know of the study design.) The data are normal (Seems reasonable, from the normal quantile plot.) We have a random sample (Does not seem reasonable.) P^ is approximately normal (Seems reasonable, since nπ0(1−π0)>5 .)

It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 420 students of its 43915 students, 57 were left-handed. Does this provide enough evidence to show that students at this college have a higher percentage of left-handers than the general American population? Use a 8% level of significance.P: PARAMETER     What is the correct parameter symbol for this problem?     Correct     What is the wording of the parameter in the context of this problem?     CorrectH: HYPOTHESES     Fill in the correct null and alternative hypotheses:     𝐻0: Correct Correct .11Correct     𝐻𝐴: Correct Correct .11CorrectA: ASSUMPTIONS     Since Incorrect information was collected from each object, what conditions do we need to check?     Check all that apply.     𝑁≥20𝑛𝑛(1-𝑝̂)≥10𝑛(1-𝑝)≥10𝑛𝑝≥10𝑛≥30 or normal population.𝑛(𝑝̂)≥10σσ is unknown.σσ is known.Partially correct     Check those assumptions:          1. 𝑛𝑝 = 57Incorrect which is Incorrect 10Correct          2. 𝑛(1-𝑝) = 363Incorrect which is Incorrect 10Correct          3. 𝑁 = 1000000Incorrect which is Incorrect 8400Correct              If no N is given in the problem, use 1000000N: NAME THE PROCEDURE     The conditions are met to use a Correct .T: TEST STATISTIC     The symbol and value of the random variable on this problem are as follows:     Leave this answer as a fraction.     Correct = .1357Incorrect     The formula set up of the test statistic is as follows.:       (Leave any values that were given as fractions as fractions) 𝑧=𝑝̂-𝑝𝑝(1-𝑝)𝑛=( - )/(( ⋅(1- )) / )       Final answer for the test statistic from technology.     Round to 2 decimal places:     z = 1.25IncorrectO: OBTAIN THE P-VALUE     Report to 4 decimal places.     It is possible when rounded that a p-value is 0.0000     P-value = .1056IncorrectM: MAKE A DECISION     Since the p-value Incorrect 1.25Incorrect , we Correct .S: STATE A CONCLUSION    There Incorrect significant evidence to conclude Correct Correct

According to previous studies, 16% of the U.S. population is left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S. is 15%.The student is going to take a random sample of 2100 people in the U.S. to try to gather evidence to support the claim. Let p be the proportion of left-handed people in the sample.Answer the following. (If necessary, consult a list of formulas.)(a)Find the mean of p.(b)Find the standard deviation of p.(c)Compute an approximation for P≥p0.15, which is the probability that there will be 15% or more left-handed people in the sample. Round your answer to four decimal places.

Left-handedness occurs in about 12% of all Americans. Males are slightly more likely than females to be left-handed, with 13% of males and 11% of females being left-handed. Suppose a random sample of 80 females and 100 males is chosen.Let X be the number of males (out of the 100) who are left-handed.Let Y be the number of females (out of the 80) who are left-handed.Let Z be the total number of left-handed individuals in the sample (males and females together).Which of the following is true regarding the random variables X and Y? Both X and Y can be well approximated by normal random variables. Only X can be well approximated by a normal random variable. Only Y can be well approximated by a normal random variable. Neither X nor Y can be well approximated by a normal random variable.Question 2Type numbers in the boxes.10 pointsSuppose the time to complete a 200-meter backstroke swim for female competitive swimmers is normally distributed with a mean μ = 141 seconds and a standard deviation σ = 7 seconds. Suppose that to qualify for the Nationals, a woman must complete the 200-meter backstroke in less than 128 seconds. What proportion of competitive female swimmers will qualify for the Nationals? Give your answer to four (4) decimal places.Click here to download the normal table.Question 3Select one answer.10 pointsSuppose the scores on an exam are normally distributed with a mean μ = 75 points and standard deviation σ = 8 points.What is the exam score for an exam whose z-score is 1.25? 65 75 85 0.8944 0.1056

It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 370 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.a) The symbol for the random variable involved in this problem is Incorrect

A hypothesis test is done in which the alternative hypothesis is that more than 10% of the population is left-handed.The p-value for the test is calculated to be 0.18Assume an 85% confidence level, Which statement is correct?