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…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

See similar textbooks

Similar questions

What is meant by the sample space of an experiment?
Do the states that voted for McCain have a different average percent of heavy drinkers than the states that voted for Obama in the 2008 election? 1. To answer the question of whether McCain states and Obama states have different average percent, heavy drinkers, we will use a 2 sample t-test. Why? 2. What should the hypotheses be for this test?
In a recent survey, it was stated that Americans watch television on average four hours per day. Assume that σ = 2. Using 40 students as the sample, conduct a hypothesis test to determine if the average for students at your school is lower:
A national magazine stated that at most, 18% of millennials have a sports club membership. Formulate an appropriate one-sample test of hypothesis to test this.
A private and a public university are located in the same city. For the private university, 1043 alumni were surveyed and 654 said that they attended at least one class reunion. For the public university, 809 out of 1324 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant? (Use α=0.05) a) Reject the null hypothesis which states there is no difference in the proportion of alumni that attended at least one class reunion in favor of the alternate which states there is a difference in the proportions. b) Fail to reject the null hypothesis. There is not enough evidence to conclude that there is a difference in the proportions. c) There is not enough information to make a conclusion.
According to a geographic report, in the United States, 20% of all families renting condos will move during a given year. A random sample of 200 families renting condos in the Seattle Mero region illustrated the fact that 56 families moved during the past year. Does this evidence suggest that a larger proportion of condo owners moved in the Seattle area, at the .01 significance level? State the null and alternate hypotheses. Make the decision rule.

Recommended textbooks for you

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS