Homework Answers
Null hypothesis
In Statistical Inference, to be precise hypothesis testing we have two kinds of hypothesis- Null Hypothesis and Alternative Hypothesis.
Null hypothesis is basically a statement that there is no association or relationship between two groups (or phenomenon) or there is no significant difference between two specific populations.
Thus the null hypothesis is often a statement of "no effect" or "no difference".
Thus the first option is correct.
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Question 12 (1 point) In formulating hypotheses for a statistical test of significance, the null hypothesis...
(6 points) For each problem, select the best response. (a) In testing hypotheses, which of the...
(6 points) For each problem, select the best response. (a) In testing hypotheses, which of the following would be strong evidence against the null hypothesis? A. Obtaining data with a large P-value. B. Using a small level of significance. C. Using a large level of significance. D. Obtaining data with a small P-value. (b) In formulating hypotheses for a statistical test of significance, the null hypothesis is often A. a statement of "no effect" or "no difference". B. the probability...
Consider conducting a hypothesis test in which the null and alternative hypotheses are: Ho: ? ?...
Consider conducting a hypothesis test in which the null and alternative hypotheses are: Ho: ? ? c Ha: ? > c Where c is some hypothesized value. Suppose the significance level is 0.02, the test statistic is positive, and the statistical decision is to FTR Ho. If we redo the test at ? = 0.05, our statistical decision would be: ---Select--- There is not enough information to make a decision at 0.05 FTR Ho at ? = 0.05 Reject Ho at...
* (½ point) The Pearson Chi-square test is used to test hypotheses about what? Differences in proportions between two...
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Conduct a test at the a=0.05 level of significance by determining (a) the null and alternative...
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Test the Hypotheses Below Null Hypothesis: Mean Student Debt in 2011 is equal to Mean Student...
Test the Hypotheses Below Null Hypothesis: Mean Student Debt in 2011 is equal to Mean Student Debt in 2007 Alternative Hypothesis: Mean Student Debt in 2011 is not equal to Mean Student Debt in 2007 Alpha Level = 0.05 F-Test Two-Sample for Variances Variable 1 Variable 2 Mean 3925.76 2876.82 Variance 222129.8188 140278.3547 Observations 50 50 df 49 49 F 1.583493186 P(F<=f) one-tail 0.055512364 F Critical one-tail 1.607289463 Run an F-test for two sample variances using an alpha level of...
1. Conduct a test of the null hypothesis that the mean height for all students in...
1. Conduct a test of the null hypothesis that the mean height for all students in the Census at School database is equal to 155 cm vs the alternative that the mean Height is greater than 155 cm. Use a significance level of 0.05. a. State the null and alternative hypotheses. Ho: m = 155 Ha: m > 155 b. Provide the Statcrunch output table. Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat P-value Height 159.86 1.7311103 49...
12. Consider a statistical inference that test the null hypothesis be Ho: c against H : esuch that c is a positive...
12. Consider a statistical inference that test the null hypothesis be Ho: c against H : esuch that c is a positive value. The test statistic associated with this mull hypothesis is given by t(b-c)/se(b) At significance level a, the test statistic is smaller than the critical value te(a/2, N - 2), that is iste(a/2, N- 2). Mark the correct alternative: (a) The test p-value increases if we increase c. (b) c does not belong to the estimated confidence interval...
Question 13 20 pts Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the...
Question 13 20 pts Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times during the summer in Holtville on n-60 days. The mean of 8 = 100°F is obtained, with 0 - 10°F. Using the 0.05 significance level, test the claim that the mean temperature is over 995 Hop-100; Hy w 100. Test statistic: 2-0.77. P-value: 0.7794. Because the...
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...
The null and alternative hypotheses for a hypothesis test of the difference in two population means...
The null and alternative hypotheses for a hypothesis test of the difference in two population means are: Null Hypothesis: Alternative Hypothesis: Notice that the alternative hypothesis is a one-tailed test. Suppose ttest_ind method from scipy module is used to perform the test and the output is (3.25, 0.0043). What is the P-value for this hypothesis test? Select one. Question 2 options: 3.25 -3.25 0.0043 0.00215
(6 points) For each problem, select the best response. (a) In testing hypotheses, which of the following would be strong evidence against the null hypothesis? A. Obtaining data with a large P-value. B. Using a small level of significance. C. Using a large level of significance. D. Obtaining data with a small P-value. (b) In formulating hypotheses for a statistical test of significance, the null hypothesis is often A. a statement of "no effect" or "no difference". B. the probability...
Conduct a test at the a=0.05 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 pa > P2. The sample data are x = 120, n, 251, x2 = 132 and n, -311 (a) Choose the correct null and alternative hypotheses below O A. Ho P1 =Pz versus H, PP2 OB. Ho P, =...
12. Consider a statistical inference that test the null hypothesis be Ho: c against H : esuch that c is a positive value. The test statistic associated with this mull hypothesis is given by t(b-c)/se(b) At significance level a, the test statistic is smaller than the critical value te(a/2, N - 2), that is iste(a/2, N- 2). Mark the correct alternative: (a) The test p-value increases if we increase c. (b) c does not belong to the estimated confidence interval...
Question 13 20 pts Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times during the summer in Holtville on n-60 days. The mean of 8 = 100°F is obtained, with 0 - 10°F. Using the 0.05 significance level, test the claim that the mean temperature is over 995 Hop-100; Hy w 100. Test statistic: 2-0.77. P-value: 0.7794. Because the...
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