The power of a test is influenced by the sample size and the choice of significance level.(a) Explain how increasing the sample size affects the power (when significance level is held fixed).Increasing the sample size will cause the magnitude of the test statistic to ---Select---the null hypothesis. Thus the power of the test will |---Select---This will cause the P-value to ---Select---(b) Explain how increasing the significance level affects the power (when sample size is held fixed).Increasing the significance level makes us [---Select--- ] likely to reject the null hypothesis. Thus the power of the test will ---Select---which makes us ---Select--- likely to reject

The strength of a test is impacted by the size of the sample and the selection of the level of…

Answered: The power of a test is influenced by…

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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Please no programming for the question. Please don’t answer the question with coding.
For a one-tailed hypothesis test (upper tail) the p-value is computed to be 0.037. If the test is being conducted at 99% confidence, the null hypothesis could be rejected or not rejected depending on the sample size could be rejected or not rejected depending on the value of the mean of the sample is not rejected is rejected
A researcher is curious about the average IQ of registered voters in the state of Florida. If this average could be obtained, it would be an example of a (a) parameter (b) population (c) sample (d) statistic (e) None of the above
A SRS of 18 statistics examinations was taken from a large normal population. The average score in the sample was 76.6 with a sample variance (not sample standard deviation) of 51.84. We are interested in determining whether the average grade of the population is significantly different from 70. It can thus be concluded that the average grade of the population is Group of answer choices is exactly 76.6 is exactly 70 significantly different than 70 not significantly different than 70
The following data are the daily number of minutes of smartphone use for a random sample of 8students at your institution: 117, 156, 89, 72, 116, 125, 101, 100.(You may use t(df=7, 0.05) = -1.895) (a) Test the null hypothesis according to which the true mean is greater or equal to 100 minagainst the alternative that it is less than 100. Use a significance level of 5% (state the test statistic and the conclusion).
For a one-tailed hypothesis test (upper tail) the p-value is computed to be 0.008. If the test is being conducted at 99% confidence, the null hypothesis could be rejected or not rejected depending on the sample size could be rejected or not rejected depending on the value of the mean of the sample is not rejected is rejected
A large software company gives job applicants a test of programming ability, and the mean score for the test has been 150 in the past. Twenty-five applicants are randomly selected from one large university and they produce a mean score of 155, with a standard deviation of 12. At a significance level of 0.025, does this indicate that the sample comes from a population with a mean score greater than 150 Interpret the random variable X using the context of the problem Interpret the random variable using the context of the problem Use proper notations to write the Null and Alternative Hypothesis What is the sample size? What is the population standard deviation? What is the sample standard deviation? Calculate the test statistic Find the p-value? Why did you make the decision in 10)?
A random sample of 100 private companies locating in Ankara was asked to rate on a scale from 1 (not important) to 5 (extremely important) for having the practical knowledge of statistics as a good job candidate. The sample mean rating was 4.7. a)Test at the 5% significance level the null hypothesis that the population mean rating is less than or equal to 4.5 against the alternative that it is greater than 4.5. Population variance is known as 0.6. b)Compute p-value and explain what the calculated p-value means.
Suppose the number of observations in a sample is 30, sample mean is 73 and sample standard deviation is 13. Perform a test of null hypothesis is `population mean is equal to 72` and the alternative hypothesis is `population mean is greater than 72`. (Use 5% significance level) a) 0.42: accept the null b) -0.42: reject the null c) 0.25: accept the null d) -0.25: reject the null
The p value for a significance test is 0.0215. What is one correct interpretation of this ? - about 2.2 % of the data are significant, as long as P- value is > alpha - about 2.2 % of all samples are significant, as long as p value is < alpha - there is sufficient evidence to reject the null hypothesis (Ho) - there is sufficient evidence to fail to reject the null hypothesis ( Ho)
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 442 gram setting. Based on a 23 bag sample where the mean is 438 grams and the variance 196, Is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled Assume the population distribution is approximately normal. State the null and alternative hypotheses, the value test statistic, state if it's one or two tailed, determine the decision rule for rejecting null hypothesis, and make rule to reject or fail to reject
The manager of a driving school claims that the mean time taken to learn how to drive a car is 8 hours for all new drivers. A sample of 16 new drivers showed that the mean time taken by them to learn how to drive a car is 9.5 hours with a standard deviation of 1.5 hours. Test at the 1% significance level if the mean time taken to learn how to drive a car by all new drivers is greater than 8 hours. Null Hypothesis [ Choose] Alternative hypothesis Choose ] Critical values [ Choose ] test statistic [Choose] Conclusion [ Choose] Summary statement [Choose]

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