A business school wants to compare a new method of teaching reading to slow learners to the current standard method. They decide to base this comparison on the results of a reading test given at the end of a learning period of six months. Of a random sample of 11 slow learners, 5 are taught by the new method and 6 are taught by the standard method. All 11 children are taught by qualified instructors under similar conditions for a six-month period. Assume that the populations are normally distributed and the population variances are equal. New Method Score: 81 80 79 81 76 Standard Method Score: 69 68 71 68 73 72 Let µ1 - µ2 = mean score based on the New Method - mean score based on the Standard Method. Test at 1% level of significance that the new method is worse than the old method, i.e., the average score obtained by the new method is less than the average score obtained by the standard method. The setup of the null and alternative hypotheses for this test is

A business school wants to compare a new method of teaching reading to slow learners to the current standard method. They decide to base this comparison on the results of a reading test given at the end of a learning period of six months. Of a random sample of 11 slow learners, 5 are taught by the new method and 6 are taught by the standard method. All 11 children are taught by qualified instructors under similar conditions for a six-month period. Assume that the populations are normally distributed and the population variances are equal. New Method Score: 81 80 79 81 76 Standard Method Score: 69 68 71 68 73 72 Let µ1 - µ2 = mean score based on the New Method - mean score based on the Standard Method. Test at 1% level of significance that the new method is worse than the old method, i.e., the average score obtained by the new method is less than the average score obtained by the standard method. The setup of the null and alternative hypotheses for this test is

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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Question

What is the setup of the null and alternative hypotheses for this test?

A business school wants to compare a new method of teaching reading to slow learners to the
current standard method. They decide to base this comparison on the results of a reading test given
at the end of a learning period of six months. Of a random sample of 11 slow learners, 5 are taught
by the new method and 6 are taught by the standard method. All 11 children are taught by qualified
instructors under similar conditions for a six-month period. Assume that the populations are
normally distributed and the population variances are equal.
New Method Score:
81 80 79 81 76
Standard Method Score: 69 68 71 68 73 72
Let µ1 - µ2 = mean score based on the New Method - mean score based on the Standard Method.
Test at 1% level of significance that the new method is worse than the old method, i.e., the average
score obtained by the new method is less than the average score obtained by the standard method.
The setup of the null and alternative hypotheses for this test is

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Are freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? 355 of the 619 freshmen psychology majors from a recent study changed their major before they graduated and 356 of the 679 freshmen business majors changed their major before they graduated. What can be concluded at the = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: (please enter a decimal) (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of freshmen psychology majors who change their major…
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In this case, p-value is greater. So null hypothesis should not be rejected, correct?
Help please