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EXAMPLE A researcher randomly selected 1,500 pine trees in Lake Sebu were tested for traces of Bark Beetle infection. It was found that 153 of the trees showed such traces. Test the hypothesis that more than 10% of the trees have been infected. (Use 5% level of significance). a. State the null hypothesisH, and the Alternative Hypothesis H, Họ: p = 0.1 H,: p> 0.1 b. Calculate the test statistic. 153 = 0.102; 1500 po= 10% = 0.10; qo = 1 – 0.10 = 0.90; n= 1,500 p- Po 0.102 – 0.10 0.002 = .26 (0.10)0.90) Jo.00006 0.0077 0.002 Po9o 1500 Rejection Region c. Determine the critical region Since z, = 1.645, the rejection region is shown. We see that 0.26 does not lie on the rejected region, therefore we fail to reject the null hypothesis. 2 = 26 =, =1.64 d. Make a conclusion. There is insufficient evidence to conclude that there is greater than 10% infested pine trees in Lake Sebu. АСTIVITY A. Follow the 5-step procedure to test the hypothesis of the problem. 1. A teacher believes that 85% of students in the class will want to have modular distance learning than online distance learning. She performs a hypothesis test to determine if the percentage is the same or different from 85%. The teacher samples 50 students and 39 reply that they would want to have modular distance learning. For the hypothesis test, use a 1% level of significance. 2. Newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born among 25,468 newborn children. The sample proportion of boys was 0.5172. Is this sample evidence that the birth of boys is more common than the birth of girls in the entire population? (Use a = 0.05) 3. An assumption that 50% of first – time brides in the province of South Cotabato are younger than their grooms. A hypothesis test was performed to determine if the percentage is the same or different from 50%. A sample of 100 first – time brides and 53 reply that they are younger than their grooms. For the hypothesis test, uses a = 0.01 level of significance.

EXAMPLE A researcher randomly selected 1,500 pine trees in Lake Sebu were tested for traces of Bark Beetle infection. It was found that 153 of the trees showed such traces. Test the hypothesis that more than 10% of the trees have been infected. (Use 5% level of significance). a. State the null hypothesisH, and the Alternative Hypothesis H, Họ: p = 0.1 H,: p> 0.1 b. Calculate the test statistic. 153 = 0.102; 1500 po= 10% = 0.10; qo = 1 – 0.10 = 0.90; n= 1,500 p- Po 0.102 – 0.10 0.002 = .26 (0.10)0.90) Jo.00006 0.0077 0.002 Po9o 1500 Rejection Region c. Determine the critical region Since z, = 1.645, the rejection region is shown. We see that 0.26 does not lie on the rejected region, therefore we fail to reject the null hypothesis. 2 = 26 =, =1.64 d. Make a conclusion. There is insufficient evidence to conclude that there is greater than 10% infested pine trees in Lake Sebu. АСTIVITY A. Follow the 5-step procedure to test the hypothesis of the problem. 1. A teacher believes that 85% of students in the class will want to have modular distance learning than online distance learning. She performs a hypothesis test to determine if the percentage is the same or different from 85%. The teacher samples 50 students and 39 reply that they would want to have modular distance learning. For the hypothesis test, use a 1% level of significance. 2. Newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born among 25,468 newborn children. The sample proportion of boys was 0.5172. Is this sample evidence that the birth of boys is more common than the birth of girls in the entire population? (Use a = 0.05) 3. An assumption that 50% of first – time brides in the province of South Cotabato are younger than their grooms. A hypothesis test was performed to determine if the percentage is the same or different from 50%. A sample of 100 first – time brides and 53 reply that they are younger than their grooms. For the hypothesis test, uses a = 0.01 level of significance.

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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Please follow the 5-step procedure for the solution given in the examples. Thank you. 

p.s. answer item 3 only

 
EXAMPLE A researcher randomly selected 1,500 pine trees in Lake Sebu were tested for traces of Bark Beetle infection. It was found that 153 of the trees showed such traces. Test the hypothesis that more than 10% of the trees have been infected. (Use 5% level of significance). a. State the null hypothesisH, and the Alternative Hypothesis H, Họ: p = 0.1 H,: p> 0.1 b. Calculate the test statistic. 153 = 0.102; 1500 po= 10% = 0.10; qo = 1 – 0.10 = 0.90; n= 1,500 p- Po 0.102 – 0.10 0.002 0.002 = .26 0.0077 Po9o (0.10)(0.90) Vo.00006 1500 Rejection Region c. Determine the critical region Since z, = 1.645, the rejection region is shown. We see that 0.26 does not lie on the rejected region, therefore we fail to reject the null hypothesis. 2 = 26 =, =1.64 d. Make a conclusion. There is insufficient evidence to conclude that there is greater than 10% infested pine trees in Lake Sebu. АСTIVITY A. Follow the 5-step procedure to test the hypothesis of the problem. 1. A teacher believes that 85% of students in the class will want to have modular distance learning than online distance learning. She performs a hypothesis test to determine if the percentage is the same or different from 85%. The teacher samples 50 students and 39 reply that they would want to have modular distance learning. For the hypothesis test, use a 1% level of significance. 2. Newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born among 25,468 newborn children. The sample proportion of boys was 0.5172. Is this sample evidence that the birth of boys is more common than the birth of girls in the entire population? (Use a = 0.05) 3. An assumption that 50% of first – time brides in the province of South Cotabato are younger than their grooms. A hypothesis test was performed to determine if the percentage is the same or different from 50%. A sample of 100 first – time brides and 53 reply that they are younger than their grooms. For the hypothesis test, uses a = 0.01 level of significance.
Transcribed Image Text:EXAMPLE A researcher randomly selected 1,500 pine trees in Lake Sebu were tested for traces of Bark Beetle infection. It was found that 153 of the trees showed such traces. Test the hypothesis that more than 10% of the trees have been infected. (Use 5% level of significance). a. State the null hypothesisH, and the Alternative Hypothesis H, Họ: p = 0.1 H,: p> 0.1 b. Calculate the test statistic. 153 = 0.102; 1500 po= 10% = 0.10; qo = 1 – 0.10 = 0.90; n= 1,500 p- Po 0.102 – 0.10 0.002 0.002 = .26 0.0077 Po9o (0.10)(0.90) Vo.00006 1500 Rejection Region c. Determine the critical region Since z, = 1.645, the rejection region is shown. We see that 0.26 does not lie on the rejected region, therefore we fail to reject the null hypothesis. 2 = 26 =, =1.64 d. Make a conclusion. There is insufficient evidence to conclude that there is greater than 10% infested pine trees in Lake Sebu. АСTIVITY A. Follow the 5-step procedure to test the hypothesis of the problem. 1. A teacher believes that 85% of students in the class will want to have modular distance learning than online distance learning. She performs a hypothesis test to determine if the percentage is the same or different from 85%. The teacher samples 50 students and 39 reply that they would want to have modular distance learning. For the hypothesis test, use a 1% level of significance. 2. Newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born among 25,468 newborn children. The sample proportion of boys was 0.5172. Is this sample evidence that the birth of boys is more common than the birth of girls in the entire population? (Use a = 0.05) 3. An assumption that 50% of first – time brides in the province of South Cotabato are younger than their grooms. A hypothesis test was performed to determine if the percentage is the same or different from 50%. A sample of 100 first – time brides and 53 reply that they are younger than their grooms. For the hypothesis test, uses a = 0.01 level of significance.
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