In a recent survey of 90 randomly selected college students, 59 said that they believe in the existence of extraterrestrial life.a) Find p, the sample proportion that believes that there is extraterrestrial life. (Round your answers to three decimal places).=b) A recent report suggests the proportion of general US population who believe in extraterrestrial life is 0.47. Choose the appropriate null and alternative hypothesis that tests whether the proportof college students who believe in extraterrestrial life in greater than the general population?O Ho: P = 0.47H₂: P = 0.47Ho: P = 0.47H₂: p > 0.47O Ho: P = 0.47H₂: > > 0.47Ho: μ = 0.47H₂:μ ‡ 0.47Ho: x = 0.47H₂: x > 0.47c) Calculate the z test statistic and p-value. (Round the test statistic to two decimal places and the p-value four decimal places).Z =p-valued) Based on the p-value, give a conclusion in terms of the alternative.There is no evidence that the proportion of college students who believe in extraterrestrial life is greater than 0.47.There is suggestive, but inconclusive evidence that the proportion of college students who believe in extraterrestrial life is greater than 0.47.There is convincing evidence that the proportion of college students who believe in extraterrestrial life is greater than 0.47.O There is moderately suggestive evidence that the proportion of college students who believe in extraterrestrial life is greater than 0.47.

It is given thatFavourable cases, x=59Sample size, n=90Note: According to Bartleby expert…

Answered: In a recent survey of 90 randomly…

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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Q2)A two sided hypothesis test is performed about a population proportion p.The valid alternative hypothesis is :- (choose the correct option) • p=0.4 ⚫ p0.9 • p0.6
Historically, the percentage of U.S. residents who support stricker gun control laws has been 52%. In order to see if the support for strick gun control laws has decreased, a random sample of 1011 people was interviewed and found that 495 were in favor of stricker gun control laws a) Set up the null and alternative hypothesis in symbols. b) Calculate the sample proportion and of who support stricker gun control laws. c) Find the standard error of the proportion d) Find the value of z statistic. e) Find the P-value f) If the level of significance is 0.05, what is your conclusion about gun control support ( it remains same or changed)
What is the name of this hypothesis test? A state employee wishes to see if there is a significant difference in the number of employees at the interchanges of three state toll roads. Can it be concluded that there is a significant difference in the average number of employees at each interchange? Pennsylvania Turnpike: 7, 14, 32, 19, 10, 11 Greensburg Bypass: 10, 1, 1, 0, 11, 1 Beaver Valley Expressway: 1, 12,1, 9, 1, 11 Two Independent Samples t Test Paired Samples t Test O One Sample z Test Two Proportion z Test Linear Regression t Test Two Proportion z Test O Chi-Square Test for Independence O ANOVA One Proportion z Test O One Samplet Test O Chi-Square Goodness of Fit Test
In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? a) Determine the null and alternative hypotheses. Ho: P = Ha:p Select an answer 2 = b) Determine the test statistic. Round to two decimals. c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. (Put in the correct symbol and value) O Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that the percentage of college students who work is different than 71%.
30
Historically, about 70% of all U.S. adults were married. A sociologist who believes that marriage rates in the United States have declined will take a random sample of U.S. adults and record whether or not they are married. a) State the null and alternative hypotheses in words. b) Let p represent the proportion of all adults in the United States who are married. State the null and alternative hypotheses in terms of this population parameter.
It is a hypothesis which is tested for the purpose of rejection under the assumption that it is true. A. Alternative hypothesis B. Composite hypothesis C. Null hypothesis D. Statistical hypothesis
Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 159 said they decided not to go to college because they could not afford school. A. A newspaper article states that only a minority of the American adults who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. State the null and alternative hypotheses both in symbols and in words. B. State and check the conditions for the hypothesis test.
Past studies have indicated that the percentage of smokers was estimated to be about 34%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1807 people and found that 574 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced. a) Identify the null and alternative hypotheses? Но: ? H1: ? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. f) Do you reject the null hypothesis? O We reject the null hypothesis, since the p-value is less than the significance level. O We reject the null hypothesis,…
6. b. Test statistic = ? c. P-value = ? d. Reject/Accept null hypothesis ? -0.92 is wrong for the test statistic
Past studies have indicated that the percentage of smokers was estimated to be about 33%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1902 people and found that 579 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced. a) Identify the null and alternative hypotheses? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? c) Identify the appropriate significance level. d) Calculate your test statistic (Use ˆpp^ rounded to 4 decimal places). Write the result below, and round your test statistic to 4 decimal places. e) Calculate your p-value. Write the result below, rounded to four decimal places. f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We…

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