Two hundred patients with symptoms of asthma have received some treatment. the table below presents the distribution of self-reported reduction of the symptoms after receiving the treatments. The researcher wants to know whether the distribution after receiving treatments follows the hypothesized distribution, ie, 7.5% much worse, 22.5% worse, 40% no change, 22.5 better, and 7.5% much better (keep 2 decimal points) observation distribution of change in symptoms after receiving treatments Total Much worse Worse. No change. Better. Much Better 200. 22. 42. 77. 40. 19 a. The expected frequencies for much worse, worse, no change, better, and much better are____,___,____,___, and ____, respectively b. The calculated x^2 values for these changes in symptoms are___,___,___,___,___ c. The degree of freedom for this analysis is ____, and the critical x^2 at a=0.05 level is _____ d. If A= reject the null hypothesis that the distribution of change in symptoms after receiving treatments is the same as hypothesized and B= failing to reject the null, your choice is ____

MATLAB: An Introduction with Applications
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Two hundred patients with symptoms of asthma have received some treatment. the table below presents the distribution of self-reported reduction of the symptoms after receiving the treatments. The researcher wants to know whether the distribution after receiving treatments follows the hypothesized distribution, ie, 7.5% much worse, 22.5% worse, 40% no change, 22.5 better, and 7.5% much better (keep 2 decimal points) observation distribution of change in symptoms after receiving treatments Total Much worse Worse. No change. Better. Much Better 200. 22. 42. 77. 40. 19 a. The expected frequencies for much worse, worse, no change, better, and much better are____,___,____,___, and ____, respectively b. The calculated x^2 values for these changes in symptoms are___,___,___,___,___ c. The degree of freedom for this analysis is ____, and the critical x^2 at a=0.05 level is _____ d. If A= reject the null hypothesis that the distribution of change in symptoms after receiving treatments is the same as hypothesized and B= failing to reject the null, your choice is _____
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