Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 402 depressed individuals is selected and treated with Resithan, and 122 find relief from their depression. A random sample of 439 depressed individuals is independently selected from the first sample and treated with Exemor, and 158 find relief from their depression. Can we conclude, at the 0.1 level of significance, tha the proportion p, of depressed individuals taking Resithan who find relief from depression is less than the proportion p, of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)

Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 402 depressed individuals is selected and treated with Resithan, and 122 find relief from their depression. A random sample of 439 depressed individuals is independently selected from the first sample and treated with Exemor, and 158 find relief from their depression. Can we conclude, at the 0.1 level of significance, tha the proportion p, of depressed individuals taking Resithan who find relief from depression is less than the proportion p, of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)

Name: (a) State the null hypothesis H, and the alternative hypothesis H,.Ho
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Description: (a) State the null hypothesis H, and the alternative hypothesis H,.HoH :0(b) Determine the type of test statistic to use.|(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the critical value at th

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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Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=98.34, y=100.45, r=0.940, P-value=0.000, and y=−3.86+1.06x, where x represents the IQ score of the twin born second. Find the best-predicted value of y given that the twin born second has an IQ of 103? Use a significance level of 0.05.
A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x1 be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x2 be the empathy score of a father. A random sample of 30 mothers gave a sample mean of x, = 67.85. Another random sample of 25 fathers gave x2 = 61.72. Assume that o, = 10.85 and oz = 10.57. (a) Let µ̟ be the population mean of x, and let uz be the population mean of x2. Find a 90% confidence interval for H1 - H2. (Use 2 decimal places.) lower limit upper limit
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x= 99.11, y = 100.1, r=0.872, P-value = 0.000, and y = 7.99 +0.93x, where x represents the IQ score of the twin bom first. Find the best predicted value of y given that the twin born first has an IQ of 96? Use a significance level of 0.05. 1 Critical Values of the Pearson Correlation Coefficient r E Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is. Critical Values of the Pearson Correlation Coefficient r a = 0.01 NOTE: To test Ho: p=0 against H,: p#0, reject H, if the absolute value of r is greater than the critical value in the table. (Round to two decimal places as needed.) a = 0.05 4 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.834 0.798 0.765 0.735 0.708 8 0.707 9 0.666 10 0.632 11 0.602 0.576 0.553 12 0.684 13 0.661 0.641 0.623 0.606 14 0.532 0.514 15 16 17 0.497 0.482 0.468 0.456 0.444 0.590 0.575…
About 19.6% of all Americans over age five speak a language other than English at home. A recent survey of 962 North Carolinians indicated that 17.4% of those sampled speak a language other than English at home. Test the claim that the percentage of North Carolinians that speak a language other than English at home is significantly different from the rate of all Americans that speak a language other than English at home. Test this claim at the .05 level of significance. 1. Write the null hypothesis and the alternative hypothesis in symbolic form. (HINT: Is this for categorical or quantitative data?)
According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.38. Suppose a random sample of 105 traffic fatalities in a certain region results in 51 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a = 0.01 level of significance? Because npo (1 - Po 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) can be reasonably assumed to be random, What are the null and alternative hypotheses? is given to be random, cannot be reasonably assumed to be random, Ho: versus H,: (Type integers or decimals. Do not round.) is given to not be random, Find the test statistic, zo. Z0 = (Round to two decimal places as needed.) Find the P-value.…
Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 590 depressed individuals is selected and treated with Resithan, and 203 find relief from their depression. A random sample of 481 depressed individuals is independently selected from the first sample and treated with Exemor, and 179 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of depressed individuals taking Resithan who find relief from depression is less than the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The critical value at the 0.05 level of significance:(Round to at least three…
Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 510 depressed individuals is selected and treated with Resithan, and 187 find relief from their depression. A random sample of 474 depressed individuals is independently selected from the first sample and treated with Exemor, and 152 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression differs from the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult
n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 n x=0.05 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.396 0.361 0.335 0.312 0.294 0.279 0.254 0.236 0.220 0.207 0.196 α = 0.05 α = 0.01 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.505 0.463 0.430 0.402 0.378 0.361 0.330 0.305 0.286 0.269 0.256 α = 0.01 NOTE: To test Ho: p=0 against H₁: p0, reject Ho if the absolute value of ris greater than the critical value in the table.
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A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x, be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x, be the empathy = 68.36. Another random sample of 31 fathers gave score of a father. A random sample of 37 mothers gave a sample mean of x, X, = 60.06. Assume that o, = 11.55 and o, = 11.45. (a) Let u, be the population mean of x, and let u, be the population mean of x,. Find a 99% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% confidence level? Because the interval contains only…
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