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.
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?
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
You may need to use the appropriate appendix table or technology to answer this question. In 2012, seventy percent of Canadian households had an internet connection. A sample of 370 households taken in 2013 showed that 76% of them had an internet connection. We are interested in determining whether or not there has been a significant increase in the percentage of the Canadian households that have internet connections. (a) State the null and alternative hypotheses to be tested. (Enter != for as needed. Let p be the proportion of all Canadian households with internet connections.) Ho: на: (b) Compute the test statistic. (Round your answer to two decimal places.) (c) The null hypothesis is to be tested at the 5% level of significance. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic (d) What do you conclude? Do not reject Ho. We can conclude that there has been a…
You come across Professor Cafferty's data set from his Master's thesis and realize that he has data on types of family support that 26 homosexual men had during young adulthood (about 18-25 years old). You come across two questions where the respondent was asked if they would identify their family as religious and whether or not they received financial support from their family. Please complete the appropriate 8-step hypothesis test using the data below. Had Financial Support Did Not Have Financial Support Family Religious 3 12 Family Not Religious 6 5

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