Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening program for the early detection of breast cancer was started in order to increase the survival rate \( p \) of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were screened by the program and who were diagnosed to have the disease. Let \( x \) represent the number of those in the sample who survive the disease.### (a) State the alternative hypothesis.If you wish to determine whether the community screening program has been effective, state the alternative hypothesis that should be tested.- \( H_a: p > \frac{2}{3} \)- \( H_a: p = \frac{2}{3} \)- \( H_a: p < \frac{2}{3} \)- \( H_a: p \neq \frac{2}{3} \)### (b) State the null hypothesis.- \( H_0: p < \frac{2}{3} \)- \( H_0: p = \frac{2}{3} \)- \( H_0: p > \frac{2}{3} \)- \( H_0: p \neq \frac{2}{3} \)### (c) Test for effectiveness.If 167 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using \( \alpha = 0.05 \).Find the test statistic and the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)- **Test statistic:** - \( z = \)- **Rejection region:** - \( z > \) - \( z < \)State your conclusion and explain the practical conclusions from your test.- \( H_0 \) is rejected. There is insufficient evidence to indicate that \( p \) is greater than \( \frac{2}{3} \). The screening program does not seem to increase the survival rate.- \( H_0 \) is rejected. There is sufficient evidence to indicate that \( p \) is greater than \( \frac{2}{3} \). The screening program seems to increase the survival rate.- \( H_0 \) is not rejected. There is

As per the Given information For effective program

Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening program for the early detection of breast cancer was started in order to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were screened by the program and who were diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease. n USE SALT (a) If you wish to determine whether the community screening program has been effective, state the alternative hypothesis that should be tested. O Hi p< O Miip = (b) State the null hypothesis. O Hgi p< O Ho: p = O Ho: p > (c) If 167 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using a = 0.05. Find the test statistic and the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic rejection region State your conclusion and explain the practical conclusions from your test. O Họ is rejected. There is insufficient evidence to indicate that p is greater than The screening program does not seem to increase the survival rate. O H, is rejected. There is sufficient evidence to indicate that p is greater than. The screening program seems to increase the survival rate. O H, is not rejected. There is insufficient evidence indicate that p is greater than . The screening program does not seem increase the survival rate. O H, is not rejected. There is sufficient evidence to indicate that p is greater than . The screening program seems to increase the survival rate. (d) Find the p-value for the test. (Round your answer to four decimal places.) p-value = Interpret the p-value. O Since the p-value is greater than 0.10, the results are not statistically significant. O Since the p-value is between 0.05 and 0.10, the results are tending toward statistical significance. O since the p-value is between 0.01 and 0.05, the results are statistically significant. O since the p-value is less than O.01, the results are highly significant.

Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening program for the early detection of breast cancer was started in order to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were screened by the program and who were diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease. n USE SALT (a) If you wish to determine whether the community screening program has been effective, state the alternative hypothesis that should be tested. O Hi p< O Miip = (b) State the null hypothesis. O Hgi p< O Ho: p = O Ho: p > (c) If 167 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using a = 0.05. Find the test statistic and the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic rejection region State your conclusion and explain the practical conclusions from your test. O Họ is rejected. There is insufficient evidence to indicate that p is greater than The screening program does not seem to increase the survival rate. O H, is rejected. There is sufficient evidence to indicate that p is greater than. The screening program seems to increase the survival rate. O H, is not rejected. There is insufficient evidence indicate that p is greater than . The screening program does not seem increase the survival rate. O H, is not rejected. There is sufficient evidence to indicate that p is greater than . The screening program seems to increase the survival rate. (d) Find the p-value for the test. (Round your answer to four decimal places.) p-value = Interpret the p-value. O Since the p-value is greater than 0.10, the results are not statistically significant. O Since the p-value is between 0.05 and 0.10, the results are tending toward statistical significance. O since the p-value is between 0.01 and 0.05, the results are statistically significant. O since the p-value is less than O.01, the results are highly significant.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks