The standard treatment for a disease works in 0.65 of all patients.A new treatment ispatients (of similar general health) isproposed. Is it better? An initial clinical trial of n = 100conducted: 73 people are cured. Assume the selection of patients is random(a) Perform a significance test to test whether the treatment is better at a 10% significance level.lp Z-=l.v5.= 73 = .731 oowe are go corfident that the populaticr.9rofortienlbe be(b) Find the power of the test under the alternative ofHa 0.810 ,812-neu PP.(I-PtoYl

Answered: The standard treatment for a disease…

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?

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What is meant by the sample space of an experiment?
A scrap metal dealer claims that the mean of his cash is 'no more than R80', but an Internal Revenue Service agent believes that the dealer is untruthful. The agent randomly selects a sample of 20 cash customers and find the mean purchase to be R91, with a variance of R441. What is The correct conclusion at 5% significance level if the test statistic value is 2,3425?
A researcher was interested in the relationship between a swimmer’s hand length and corresponding time to complete the 100-meter freestyle. The researcher selected a random sample of twenty swimmers from all participants in a swim competition. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle?
A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. 1.Compute the p-value. 2. Does the evidence support the computer manufacturer's claim at the 10% significance level?
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 577577 women and 496496 men were independently and randomly selected, and that 283283 women and 186186 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p1p1 ), choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p2p2 )? Use a significance level of α=0.05α=0.05 for the test. Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places.
A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 30% owned cats. In the second sample of 60 women, 55% owned cats. Test the veterinarian's belief at the α=0.05α=0.05 significance level. Preliminary: Is it safe to assume that nmen≤5%nmen≤5% of all men and nwomen≤5%nwomen≤5% of all women? Yes No Verify nˆp(1−ˆp)≥10.np^(1-p^)≥10. Round your answer to one decimal place.nmenˆp(1−ˆp)=nmenp^(1-p^)= nwomenˆp(1−ˆp)=nwomenp^(1-p^)= Test the claim: Determine the null and alternative hypotheses. H0H0: pmenpmen pwomenpwomen HaHa: pmenpmen pwomenpwomen The hypothesis test is left-tailed two-tailed right-tailed Determine the test statistic. Round to two decimal places.x=x= Find the pp-value.…
In the previous year, 40% of women over the age of fifty had regularly scheduled mammograms. Following last year's test, a campaign was initiated to encourage women to be tested regularly. This year, a cancer research group surveys a random sample of 450 women, and 195 respond affirmatively. With a 5% significance level, test to see if the campaign was effective. What is the decision rule? Question 9 options: Reject H0 if the p-value > 0.05. Reject H0 if the p-value < 0.05. Accept HA if the p-value > 0.05. Reject HA if the p-value < 0.05. None of these. Reject H0 if the p-value ≠ 0.05.
A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A. A two-sample t-test for a difference between means B. A chi-square test of independence C. A linear regression t-test for slope D. A two-sample z-test for a difference between proportions E. A matched pairs t-test for a mean difference

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