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The numbers of successes and the sample sizes for independent simple random samples from two populations are provided for a right-tailed test. Use a 90% confidence interval. Complete parts (a) through (d). X1 = 9, n, = 40, x2 = 8, n2 = 50, a = 0.05 Click here to view a table of areas under the standard normal curve for negative values of z. Click here to view a table of areas under the standard normal curve for positive values of z. ..... a. Determine the sample proportions. Determine the sample proportion p1. P, = (Round to three decimal places as needed.) Determine the sample proportion p2. P2 = (Round to three decimal places as needed.) Determine the pooled sample proportion p,. P. = (Round to three decimal places as needed.) b. Decide whether using the two-proportions z-procedures is appropriate. Check that the assumptions are satisfied. Select all that apply. O A. The assumptions are satisfied, so using the procedures is appropriate. O B. Since x, is less than 5, using the procedures is not appropriate. O c. Since n2 -x2 is less than 5, using the procedures is not appropriate. O D. Since n, - x, is less than 5, using the procedures is not appropriate. E. Since x, is less than 5, using the procedures is not appropriate. c. If appropriate, use the two-proportions z-test to conduct the required hypothesis test. What are the hypotheses for this test? O A. Ho: P1 = P2, Ha: P1 P2. Ha: P1 = P2 OC. Ho: P1 # P2. Ha: P1 = P2 O D. Ho: P1 = P2. Ha: P1 #P2 O E. Ho: P1 = P2, Ha: P1 > P2 O F. Ho: P1

The numbers of successes and the sample sizes for independent simple random samples from two populations are provided for a right-tailed test. Use a 90% confidence interval. Complete parts (a) through (d). X1 = 9, n, = 40, x2 = 8, n2 = 50, a = 0.05 Click here to view a table of areas under the standard normal curve for negative values of z. Click here to view a table of areas under the standard normal curve for positive values of z. ..... a. Determine the sample proportions. Determine the sample proportion p1. P, = (Round to three decimal places as needed.) Determine the sample proportion p2. P2 = (Round to three decimal places as needed.) Determine the pooled sample proportion p,. P. = (Round to three decimal places as needed.) b. Decide whether using the two-proportions z-procedures is appropriate. Check that the assumptions are satisfied. Select all that apply. O A. The assumptions are satisfied, so using the procedures is appropriate. O B. Since x, is less than 5, using the procedures is not appropriate. O c. Since n2 -x2 is less than 5, using the procedures is not appropriate. O D. Since n, - x, is less than 5, using the procedures is not appropriate. E. Since x, is less than 5, using the procedures is not appropriate. c. If appropriate, use the two-proportions z-test to conduct the required hypothesis test. What are the hypotheses for this test? O A. Ho: P1 = P2, Ha: P1 P2. Ha: P1 = P2 OC. Ho: P1 # P2. Ha: P1 = P2 O D. Ho: P1 = P2. Ha: P1 #P2 O E. Ho: P1 = P2, Ha: P1 > P2 O F. Ho: P1

MATLAB: An Introduction with Applications
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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The image presents a statistics problem dealing with hypothesis testing for proportions: ### Problem Statement The task is to analyze the numbers of successes and the sample sizes for independent simple random samples from two populations. The goal is to conduct a right-tailed test with a 90% confidence interval, using the following values: - \( x_1 = 9 \), \( n_1 = 40 \) - \( x_2 = 8 \), \( n_2 = 50 \) - Significance level (\( \alpha \)) = 0.05 Instructions are provided to refer to tables for the standard normal curve for both negative and positive values of \( z \). ### Questions and Tasks #### a. Determine the Sample Proportions Calculate the sample proportion for both populations: - \( \hat{p}_1 = \) [Space to round to three decimal places as needed] - \( \hat{p}_2 = \) [Space to round to three decimal places as needed] Calculate the pooled sample proportion: - \( \hat{p}_p = \) [Space to round to three decimal places as needed] #### b. Decide on the Appropriateness of Procedures Check whether using the two-proportions z-procedures is suitable. Options include: - A. Assumptions satisfied, procedures appropriate. - B. \( x_1 \) less than 5, procedures not appropriate. - C. \( n_2 - x_2 \) less than 5, procedures not appropriate. - D. \( n_1 - x_1 \) less than 5, procedures not appropriate. - E. \( x_2 \) less than 5, procedures not appropriate. (Checked) #### c. State Hypotheses for Two-Proportions Z-Test Outline the hypotheses with respect to \( p_1 \) and \( p_2 \): - Options A to F with varying hypotheses including equalities and inequalities between \( p_1 \) and \( p_2 \). - Option G suggests the two-proportions z-procedures are not appropriate. #### Calculation Tasks - Determine the test statistic \( z \) and round as needed. - Identify the P-value and round as needed. There are various options provided, indicating the choice of conducting the test or opting out if procedures are unsuitable. This page requires students to understand and apply statistical procedures in hypothesis testing,
Transcribed Image Text:The image presents a statistics problem dealing with hypothesis testing for proportions: ### Problem Statement The task is to analyze the numbers of successes and the sample sizes for independent simple random samples from two populations. The goal is to conduct a right-tailed test with a 90% confidence interval, using the following values: - \( x_1 = 9 \), \( n_1 = 40 \) - \( x_2 = 8 \), \( n_2 = 50 \) - Significance level (\( \alpha \)) = 0.05 Instructions are provided to refer to tables for the standard normal curve for both negative and positive values of \( z \). ### Questions and Tasks #### a. Determine the Sample Proportions Calculate the sample proportion for both populations: - \( \hat{p}_1 = \) [Space to round to three decimal places as needed] - \( \hat{p}_2 = \) [Space to round to three decimal places as needed] Calculate the pooled sample proportion: - \( \hat{p}_p = \) [Space to round to three decimal places as needed] #### b. Decide on the Appropriateness of Procedures Check whether using the two-proportions z-procedures is suitable. Options include: - A. Assumptions satisfied, procedures appropriate. - B. \( x_1 \) less than 5, procedures not appropriate. - C. \( n_2 - x_2 \) less than 5, procedures not appropriate. - D. \( n_1 - x_1 \) less than 5, procedures not appropriate. - E. \( x_2 \) less than 5, procedures not appropriate. (Checked) #### c. State Hypotheses for Two-Proportions Z-Test Outline the hypotheses with respect to \( p_1 \) and \( p_2 \): - Options A to F with varying hypotheses including equalities and inequalities between \( p_1 \) and \( p_2 \). - Option G suggests the two-proportions z-procedures are not appropriate. #### Calculation Tasks - Determine the test statistic \( z \) and round as needed. - Identify the P-value and round as needed. There are various options provided, indicating the choice of conducting the test or opting out if procedures are unsuitable. This page requires students to understand and apply statistical procedures in hypothesis testing,
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