If a significance level of 0.01 is used in testing the null hypothesis that ? =...
If a significance level of 0.01 is used in testing the null
hypothesis that ? = 0.30 against the alternative that 
, based on a
random sample of size n = 15, then the relevant tabled
value is
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.Homework Answers
For right tailed test ,
Critical value : 
For left tailed test ,
Critical value : 
For two tailed test ,
Critical values : i ) Lower critical value --------- 
ii ) Upper critical value
------------------- 
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If a significance level of 0.01 is used in testing the null
hypothesis that ? =...
1. a) For a test at a fixed significance level, and with given null and alternative...
1. a) For a test at a fixed significance level, and with given null and alternative hypotheses, what will happen to the power as the sample size increases? b) For a test of a given null hypothesis against a given alternative hypothesis, and with a given sample size, describe what would happen to the power of the test if the significance level was changed from 5% to 1%. c) A test of a given null hypothesis against a given alternative...
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ =...
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ = 500 , and the significance level for this testing is 0.05. The population in question is normally distributed with standard deviation 100. A random sample of size n=25 will be used. If the true alternative mean is 550, then the probability of committing the type II error is ____.
In hypothesis testing, the level of significance (a) is also known as the size of the...
In hypothesis testing, the level of significance (a) is also known as the size of the rejection region or size of the critical region. True False In a hypothesis test, the probability of obtaining a value of the test statistic equal to or even more extreme than the value observed, given that the null hypothesis is true, is referred to as what? The p-value The level of significance The statistical power What is the requirement for a large sample to...
QUESTION 4 a) What is meant by critical region and significance level in hypothesis testing? (2...
QUESTION 4 a) What is meant by critical region and significance level in hypothesis testing? (2 marks) b) A random sample X1, X2...., X, of size n is obtained from a normal distribution with mean, u and variance, 81. We are interested to test Ho : 4 = 100 against H, : x = 104. 1) Show that a best critical region according to Neyman-Pearson lemma is 82c. (8 marks) ii) Find the sample size, n given that the significance...
1. In hypothesis testing, the hypothesis that is assumed to be true for the purpose of...
1. In hypothesis testing, the hypothesis that is assumed to be true for the purpose of testing is called the hypothesis 2. (Circle the correct response) In hypothesis testing, critical values used to make a rejection decision regarding the null hypothesis are determined by the nature of the hypothesis test (two-tail vs. one-tail) and the d. significance level a. sample size b. population parameter c. target value 3. (Circle the correct response) In the process of hypothesis testing, the test...
Conduct a test at the a=0.01 level of significance by determining (a) the null and alternative...
Conduct a test at the a=0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether P1 >P2. The sample data are x1 = 116, n1 = 243, X2 = 139, and n2 = 302.
Suppose a random sample of 150 universities is used to test the null hypothesis that the...
Suppose a random sample of 150 universities is used to test the null hypothesis that the average number of spam emails economics graduate students receive in a month is 46.92. The value of the test statistic is found to be 2.06. If the nullis tested against the alternative hypothesis that the number of spam emails is not 46.92, the smallest significance level at which you can reject the null hypothesis is (Round your answer to four decimal places.)
Suppose a random sample of 150 universities is used to test the null hypothesis that the...
Suppose a random sample of 150 universities is used to test the null hypothesis that the average number of spam emails economics graduate students receive in a month is 46.92. The value of the test statistic is found to be 2.54 if the nullis tested against the alternative hypothesis that the number of spam emails is not 46.92, the smallest significance level at which you can reject the null hypothesis is (Round your answer to four decimal places.)
The null hypothesis must be rejected at a 5% level of significance. The null hypothesis must...
The null hypothesis must be rejected at a 5% level of significance. The null hypothesis must be rejected at a 1% level of significance. The null hypothesis must be rejected at both a 5% and a 1% level of significance. None of the above. same set For a hypothesis testing problem with a given data set, you have rejected the null hypothesis at a 10% level of significance. For the same data set,
a) A significance level of = 0.01 is used in testing a researcher's claim that μ...
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In hypothesis testing, the level of significance (a) is also known as the size of the rejection region or size of the critical region. True False In a hypothesis test, the probability of obtaining a value of the test statistic equal to or even more extreme than the value observed, given that the null hypothesis is true, is referred to as what? The p-value The level of significance The statistical power What is the requirement for a large sample to...
QUESTION 4 a) What is meant by critical region and significance level in hypothesis testing? (2 marks) b) A random sample X1, X2...., X, of size n is obtained from a normal distribution with mean, u and variance, 81. We are interested to test Ho : 4 = 100 against H, : x = 104. 1) Show that a best critical region according to Neyman-Pearson lemma is 82c. (8 marks) ii) Find the sample size, n given that the significance...
1. In hypothesis testing, the hypothesis that is assumed to be true for the purpose of testing is called the hypothesis 2. (Circle the correct response) In hypothesis testing, critical values used to make a rejection decision regarding the null hypothesis are determined by the nature of the hypothesis test (two-tail vs. one-tail) and the d. significance level a. sample size b. population parameter c. target value 3. (Circle the correct response) In the process of hypothesis testing, the test...
Conduct a test at the a=0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether P1 >P2. The sample data are x1 = 116, n1 = 243, X2 = 139, and n2 = 302.
Suppose a random sample of 150 universities is used to test the null hypothesis that the average number of spam emails economics graduate students receive in a month is 46.92. The value of the test statistic is found to be 2.06. If the nullis tested against the alternative hypothesis that the number of spam emails is not 46.92, the smallest significance level at which you can reject the null hypothesis is (Round your answer to four decimal places.)
Suppose a random sample of 150 universities is used to test the null hypothesis that the average number of spam emails economics graduate students receive in a month is 46.92. The value of the test statistic is found to be 2.54 if the nullis tested against the alternative hypothesis that the number of spam emails is not 46.92, the smallest significance level at which you can reject the null hypothesis is (Round your answer to four decimal places.)
The null hypothesis must be rejected at a 5% level of significance. The null hypothesis must be rejected at a 1% level of significance. The null hypothesis must be rejected at both a 5% and a 1% level of significance. None of the above. same set For a hypothesis testing problem with a given data set, you have rejected the null hypothesis at a 10% level of significance. For the same data set,
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