Part 1 of 7(a) Explain why it is necessary to check that the population is approximately normal before performing a hypothesis test.It is necessary to check that the population is approximately normal because the sample size is small ≤30XPart 2 of 7It is(b) Following is a dotplot of the data. Is it reasonable to assume that the population is approximately normal?Part 3 of 7ŚPart 4 of 7(c) State the appropriate null and alternate hypotheses.H= 15H= 15This hypothesis test is a two-tailed▾ reasonable to assume that the population is approximately normal.Part 5 of 7.test.xD<0 >0 0-05OD μ(d) Compute the value of the test statistic. Round the answer to two decimal places.z = 13X(e) Compute the P-value. Round the answer to four decimal places.P-value = 54$X$Expañol Part 6 of 7(f) Determine whether to reject H. Use the a=0.10 level of significance.Do not reject the null hypothesis HPart: 6/7Part 7 of 7(g) State a conclusion.There is notenough evidence to conclude that the mean lead amount is less than 15 micrograms per liter.X

Given information: μ=15α=0.10

Answered: Part 1 of 7 (a) Explain why it is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Do political “attack ads” work? A congressional candidate who currently has the support of only 44% of the voters runs a television spot that aggressively attacks the character of his opponent. He wants to know if the television spot has changed his support level among voters. (a) Define the parameter and state the null and alternative hypotheses for this test. (b) Suppose his pollsters plan to survey a random sample of 450 voters and conduct a two-sided test ofH0: p = 0.44, using  = 0.05. They determine that the power of this test against the alternative p = 0.40 is 0.36. Explain what this means in the context of the problem. (c) Describe two ways the pollsters can increase the power of the test. (d) The pollsters survey a random sample of 450 voters and find that 186 support the candidate. This produces a 95% confidence interval for the proportion of voters who support him of (0.368, 0.459). Use the confidence interval to determine whether this test would reject or fail to reject…
The mayor of a town believes that over 70% of the residents favor annexation of an adjoining community. Is there sufficient evidence at the 0.05 level to support the mayor's claim? After information is gathered from 130 voters and a hypothesis test is completed, the mayor decides to reject the null hypothesis at the 0.05 level. What is the conclusion regarding the mayor's claim?
A random sample of n₁ = 16 communities in western Kansas gave the following rates of hay fever per 1000 population for people under 25 years of age. 121 115 124 99 134 121 110 116 113 96 116 116 135 96 96 116 A random sample of n₂ = 14 communities in western Kansas gave the following rates of hay fever per 1000 population for people over 50 years old. 113 86 106 102 113 94 94 108 103 99 78 105 88 100 Assume that the hay fever rate in each age group has an approximately normal distribution. Using the method outlined in Brase and Brase, do the data indicate that the age group over 50 has a lower rate of hay fever? Use a = 0,05. Do you reject or fail to reject the null hypothesis? Are the data statistically significant at the α = 0.05 level of significance?
Write out the null and alternative hypotheses (making sure that your notation is understandable) and the distribution of the test statistic (but not the test statistic itself) used to address these questions.
HR department wants to make sure that their hiring practices are independent of gender. In other words, they want to ensure that both men and women have an equal chance of being hired. The observed data related to this survey is summarized in the following table: Observed frequency Male Female Total Hired 45 35 Not Hired 32 28 Total Given Ho = “HR department hired male and female employees equally”, decide whether to reject or fail to reject the null hypothesis (α = 0.05).
Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up rejecting the null hypothesis in error. True False
A group of 250 patients was randomly split into two groups of 125 patients. The first group of 125 patients was given treatment A, and 72 of them improved their condition. The second group of 125 patients was given treatment B, and 60 of them improved their condition. Perform a hypothesis test to investigate whether there is evidence of a difference between the two treatments. What is the p-value of the test?
STEPS IN STATISTICALHYPOTHESIS TESTING 1. Analyze the problem2. Formulate the null and alternative hypothesis3. Determine the tails of the test4. Determine the test to be used5. Compute6. Conclude Instruction:Using the steps in hypothesis testing, test the following hypotheses using the appropriate test statistic. A sports researcher would like to determine if the “wonder wristband” can increase the speed of runners. He took the 100m dash time of 6 runners before wearing the bracelet, their time follows: 9.82, 10.12, 7.89, 8.12, 8.59, 8.49 and then the same runners’ time while wearing the bracelet: 9.99, 10.52, 7.50, 6.54, 8.99, 6.87. Find out if there is a significant difference in time without the bracelet and with the bracelet.
If a hypothesis test rejects the null hypothesis test at a = 0.05 will it also always reject the null at a = 0.01?
A recent Food and Drug Administration (FDA) report states that 65% of all domestically produced food products are pesticide free. Suppose an FDA spokesperson believes that less than 65% of all foreign produced food products are pesticide free. Specify the null and alternative hypotheses that would be used to test the spokesperson’s belief
According to a New York Times/CBS News poll conducted during June 24–28, 2011, 55% of the American adults polled said that owning a home is a very important part of the American Dream (The New York Times, June 30, 2011). Suppose this result was true for the population of all American adults in 2011. In a recent poll of 1780 American adults, 60% said that owning a home is a very important part of the American Dream. Perform a hypothesis test to determine whether it is reasonable to conclude that the percentage of all American adults who currently hold this opinion is higher than 55%. Use a 10% significance level, and use both the p-value and the critical-value approaches. Round your answers for the observed value of z and the critical value of z to two decimal places, and the p-value to four decimal places.zobserved =Enter you answer; z_observed p-value =Enter you answer; p-value Critical value =Enter you answer; Critical value
If the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True False

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