A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 66%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H and the alternative hypothesis H, that we would use for this test. H: 0 O

A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 66%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H and the alternative hypothesis H, that we would use for this test. H: 0 O

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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Who will you vote for? A simple random sample of 1500 voters were surveyed and asked whether they were planning to vote for the incumbent mayor for re-election. Seven hundred ninety-eight of them replied that they were planning to vote for the mayor. The mayor claims that more than half of all voters are planning to vote for her. To test this claim, a test of the hypotheses Ho: p = 0.5 versus H₁: p > 0.5 is performed. a. Show that the P-value is 0.007. b. The P-value is very small, so Ho is rejected. A pollster claims that because the P-value is very small, we can be fairly certain that the population proportion p is greater than 0.5, but we cannot be certain that it is a lot greater. Is this a correct interpretation of the P-value?
Please answer question 10.5
• Question 16 A news article that you read stated that 53% of voters prefer the Democratic candidate. You think that the actual percent is different. 122 of the 272 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v| Select an answerv (please enter a decimal) H1: |?vSeect an answerV (Please enter a decimal) c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different 53% at a = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different 53%. O The data…
Find the P-value for the indicated hypothesis test. Round all proportions and standard scores to two decimal places.In a sample of 47 adults selected randomly from one town, it is found that 10 of them have been exposed to a particular strain of the flu. Find the P-value for a test of the claim that the proportion of all adults in the town that have been exposed to this strain of the flu is 8%.
● Question 3 Only about 10% of all people can wiggle their ears. Is this percent different for millionaires? Of the 379 millionaires surveyed, 30 could wiggle their ears. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: 80 F3 Ho: ? Select an answer ✓ H₁: ? Select an answer ✓ c. The test statistic ? ✓ = d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should [Select an answer the null hypothesis. g. Thus, the final conclusion is that ... Submit Question (please enter a decimal) O The data suggest the population proportion is not significantly different from 10% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 10%. $ (Please enter a decimal) O The data suggest the populaton proportion is significantly different from 10% at a = 0.01, so there is…
A researcher claims that the incidence of a certain type of cancer is less than 5%. To test this claim, the a random sample of 4000 people are checked and 170 are determined to have the cancer. The following is the setup for this hypothesis test: Ho p 0.05 Ha :p< 0.05 In this example, the p-value was determined to be 0.015. come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim o The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim.
The Statistics Games are played by a large number of students across the county. Last year, 32% of Clayton State students participated in the Games. You wonder: “Has the proportion increased this year?”. To find out, you take a random sample of 250 CSU students and ask them if they participated in the Games this year. You find that 38% did. Write the null and alternate hypotheses. A Ho: μ = 0.32 Ha: μ < 0.32 B Ho: μ = 0.32 Ha: μ ≠ 0.32 C Ho: p = 0.32 Ha: p > 0.32 D Ho: p = 0.32 Ha: p < 0.32 E Ho: p = 0.38 Ha: p > 0.38
Question 4
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 62% at a level of significance of a = 0.05. According to your sample, 27 out of 50 potential voters prefer the Democratic candidate. a. For this study, we should use z-test for a population proportion b. The null and alternative hypotheses would be: Ho: pv = 0.62 O O H₁: pv # OF c. The test statistic z O O 0.62 ✓(please enter a decimal) f. Based on this, we should reject g. Thus, the final conclusion is that (Please enter a decimal) = -1.165 (please show your answer to 3 decimal places.) d. The p-value = 0.1248 x (Please show your answer to 4 decimal places.) e. The p-value is > ✓ a 1x the null hypothesis. O The data suggest the populaton proportion is significantly different from 62% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 62% the population proportion is…
A December 2017 Gallup Poll reported that 43% of Americans use the internet for an hour or more each day. You suspect that a greater proportion of students at your school use the internet that much. You take a random sample of 60 students and find that 36 of them use the internet for an hour or more each day. Assume your school has more than 600 students. You will test the hypotheses H, : p = 0.43, H,:p>0.43 , where p= the true proportion of students at your school who use the internet for an hour or more each day. Which of the following gives the correct test statistic for this test? 0.43 - 0.6 Z = (0.6)(0.4) 60 0.43-0.6 (0.6)(0.4) 600 0.6-0.43 (0.6)(0.4) 60 0.6 - 0.43 (0.43)(0.57) 60 36 - 60 (36)(24) 60
Company records indicate that at most 45% of employees commute to work using public transportation. You suspect this is incorrect, so you sample 65 random employees and find that 35 of them take public transportation to work. State the null and alternative hypotheses of this test. Null Hypothesis (Ho): Alternative Hypothesis (HA): P ps v 0.4 0.4✓ To test our hypothesis, we will assume that p = 0.45 0 Is the success-failure condition of the Central Limit Theorem satisfied? Yes. Both np and n(1 − p) are ≥ 10. O No. Either np a. No. The result is not significant because the p-value is a. that We cannot dispute, with 95% confidence, the claim that at most 45% of employees commute to work using public transportation. O Our evidence suggests, with 95% confidence, that more than 45% of employees commute to work using public transportation.
59% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 155 of the 276 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01?