Suppose 20 independent hypothesis tests are done, each using a = .05. If Ho is actually true for all 20 of them,what is the probability that at least one of them will incorrectly reject Ho?

the probability of rejecting the null hypothesis when it is actually true (a type I error) the null…

Answered: Suppose 20 independent hypothesis tests…

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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20. Which of the following is a null hypothesis? a. Pregnant women who drink cranberry juice will have lower urine bacterial counts than those who do not drink cranberry juice. b. The urine bacterial count of pregnant women who drink cranberry juice will be lower or equal to that of pregnant women who do not drink the juice. c. There will be a difference between ingestion of cranberry juice and among pregnant women who do and do not have high urine bacterial counts.
Which of the following is a true statement? The p-value is the probability that the null hypothesis is true. O b. A small p-value implies weak evidence against the null hypothesis. O C. None of these. Od. The p-value is the probability that the alternative hypothesis is true. e. To reject the null hypothesis, it must be false.
I. Answer 1 2 3
What number goes in the Null Hypothesis for the following? Fred and Jack have been gambling with a die and Jack is losing. Thus, Jack accuses Fred of having an unfair diethat doesn’t land on Box Cars (six’s) as often as it should. To decide, Jack rolls the die 30 times and it lands on Box Cars only 12% of the time.
A pizza restaurant sells pepperoni on 25.3% of all pizzas it sells. They found that out of 36 pizzas ordered by female callers last Tuesday only 8 (8/36*100=22.2%) had pepperoni. Conduct a hypothesis test to determine if female callers order pepperoni less often.
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Thirty-eight percent of all shoppers at a large department store are holdersof the store’s charge card. If a random sample of 100 shoppers is taken, what is theprobability that at least 30 of them will be found to be holders of the card?
2. A certain health magazine stated * that 14% of men said they used exercise to reduce stress. At a=0.05 test the claim wherein, from a random sample of 100 men who were selected, 10 said that they used exercise to relieve stress. Which of the following is the appropriate null hypothesis of the problem? A. p = 14% B. p ≤ 14% C. p≥ 14% D. p 14% O A. B. D.
In a recent Super Bowl, a TV network predicted that 48 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 103 people who saw the commercials and found that 46 of them said they would watch one of the television shows. Suppose you are have the following null and alternative hypotheses for a test you are running: Но: р 3 0.48 Ha:p + 0.48 (a) Calculate the sample test statistic: (b) Calculate the standardarized test statistic (the z-score). Check Answer M
Suppose a group of 900900 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 356356 patients who received the antidepressant drug, 113113 were not smoking one year later. Of the 544544 patients who received the placebo, 203203 were not smoking one year later. Given the null hypothesis ?0:(?1−?2)=0H0:(p1−p2)=0 and the alternative hypothesis ??:(?1−?2)≠0H, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.01(a) The rejection region is |?|>(b) The test statistic is ?=zThe final conclustion is
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Solve the following: a) A random sample of 400 people is interviewed for a relative position. Suppose that 20% of the population supports the proposition. Find the mean b) If a hypothesis test were conducted using alpha = 0.01 for which of the following P value would the null hypothesis is not rejected?

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Suppose 20 independent hypothesis tests are done, each using a = .05. If Ho is actually true for all 20 of them, what is the probability that at least one of them will incorrectly reject Ho?