From previous studies, it is concluded that 60% of people support legalizing gay marriage. Aresearcher claims that the proportion is smaller than 60% and decides to survey 300 working adults.Test the researcher's claim at the a 0.05 significance level.Preliminary:a. Is it safe to assume that n ≤ 0.05 of all subjects in the population?NoYesb. Verify np(1 - p) ≥ 10. Round your answer to one decimal place.np(1 - p)Test the claim:=a. The null and alternative hypotheses areHo : μ > 0.6Ha:μ < 0.6Ho:p> 0.6Ha:p < 0.6Ο Ho: μ < 0.6Ηα:μ0.6b. The test isSelect an answerHo:p = 0.6Ha:p 0.6Ho:μ= 0.6Ha: μ # 0.6e. Make a decision.Ho:p ≤ 0.6Ha:p> 0.6c. Based on the sample of 300 people, 58% people support legalizing gay marriage. What is thetest statistic? Round your answer to two decimal places.? îd. What is the p-value? Round your answer to four decimal places.Reject the null hypothesis.Do not reject the null hypothesis.

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Answered: From previous studies, it is concluded…

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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You wish to test the following claim (Ha) at a significance level of a = 0.05. Но : и — 75.4 Ha:µ > 75.4 а You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 8 with mean a 83.4 and a standard deviation of s = 11.9. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a O greater than a
When debating the state appropriation for Penn State, the following question is asked: "Are the majority of students at Penn State from Pennsylvania?" (A majority is anything higher than 0.5). The school claims that there is a majority of students from Pennsylvania. A random sample of 500 students is taken and it is found that 278 of them are from Pennsylvania. Find the test statistic and p-value for this test. Round to two decimal places.
A national survey reports that the average number of screens (TVs, computers, tablets, and smartphones) in a single-family household 9.5. You believe that average may be different in Hartsville. State the null and alternative hypothesis for the claim that the average number of screens per household in Hartsville is not 9.5. Select your answer from one of the following options. a. ?0:?≥9.5??:?<9.5 b. ?0:?=9.5??:?≠9.5 c. ?0:?>9.5??:?≤9.5 d. ?0:?≠9.5??:?=9.5 e. ?0:?≤9.5??:?>9.5
25 of 30 The following graph shows the mean change in mass of two groups of animals fed on different diets over a period of 2 years: Time course of mass change 275 250 225 200 175 150 125 100 0 3 69 12 15 18 21 24 Time (months) Which of these is the most misleading property of this graph? OThe errors vary between data points. O A best fit curve wasn't shown The interpolating lines have different styles. False zero None of these is relevant to this graph. Mass (g) HH H HH HH HH
The null hypothesis and the alternate hypothesis are: H0: The frequencies are equal.H1: The frequencies are not equal. Category f0 A 10 B 10 C 20 D 10 a. State the decision rule, using the 0.01 significance level. (Round your answer to 3 decimal places.) b. Compute the value of chi-square. (Round your answer to 2 decimal place.) c. What is your decision regarding H0?
2. Which one of the following statements is correct? A. If you are told a sample percentage is 25%, you would need to know the sample size in order to convert that percentage to a proportion. B. We always begin a hypothesis test by assuming that the alternative hypothesis is true. C. The test statistic is affected by the size of the sample. D. A small P-value means we have evidence in favor of the null hypothesis. E. The test statistic will be negative if the claimed population proportion is smaller than the sample proportion.
A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 13% chose chocolate pie, and the margin of error was given as ±4 percentage poits. Describe what is meant by the statement that "the margin of error was given as ±4 percentage points." (...) Choose the correct answer below. OA. The statement indicates that the study is only 4% confident that the true population percentage of people that prefer chocolate pie is exactly 13%. OB. The statement indicates that the study is 100% -4% = 96% confident that the true population percentage of people that prefer chocolate pie is 13%. OC. The statement indicates that the interval 13% ± 4% is likely to contain the true population percentage of people that prefer chocolate pie. D. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 13% ± 4%.
The school's newspaper reported that the proportion of students majoring in business is at least 30%. You plan on taking a sample to test the newspaper's claim. The correct set of hypotheses is Oa. Ho:p>.30 Ha: p ≤.30 O b. Ho: p .30 O d. Ho: p 2.30 Ha: p < .30
the decision rule for any kind of test is? A. reject the Ho if the p-value associated with the computed value is greater than 0.05 B. Reject the Ho if the p-value associated with the computed value is less than 0.05 What is the correct answer?
A survey claims that 8 out of 10 Filipino nurses use soap "clean" for handwashing. To verify this claim, a random sample of 100 Filipino nurses is obtained. Out of these 100 nurses, 58 said that they use soap X for handwashing. Test if the claim is accurate. The level of significance is set at 0.05. Ho: The proportion Filipino n v What are the appropriate null and alternative hypotheses for this problem? ( Select ) v What is the appropriate test statistic to be used for this problem? a. z=(p-P)/V(PQ/n) b. t=(7-u)/(s/Vn) C. z=-u)/(a/Vn) d. 7tt s/Vn ( Select ) What is the critical region? ( Select ) If the computed test statistics is -8.5, what is the appropriate conclusion for this problem?
Only about 14% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 400 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? Select an answer V (please enter a decimal) H1: ? v Select an answer V (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest the population proportion is not significantly lower than 14% at a = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 14%. O The data suggest the populaton proportion is significantly lower…
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