Prof. Johnson conducts a hypothesis test on whether the proportion of all UBC students who bike to school (denoted as p) equals 30%. Specifically, Prof. Johnson has Ho: p=0.3 versus HAP 0.3. He obtains a P-value of 0.01. On the other hand, Prof. Smith would like to test if therent evidence to support that p is greater than 0.3 at the 10% significance level. Based on Prof. Johnson's result, will the null hypothesis of Prof. Smith's test be rejected? O A. There is insufficient information to tell.OB. No.O C. Yes.

The hypothesis test that is performed by Professor Johnson is stated as: Null hypothesis is H0:p=0.3…

Answered: Prof. Johnson conducts a hypothesis…

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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A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 400 randomly selected people who rode a jet ski, 88% wore life vests. Out of 250 randomly selected boaters, 82.4% wore life vests. Using a 0.01 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: p1=p2 Ha: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2 Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
The average student loan debt is reported to be $25,235. A student belives that the student loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean to be $27,524 and the standard devition to be $6000. Is there sufficient evidence to support the student' claim at a 5% significance level?a) Determine the null and alternative hypotheses.H0H0: μ=μ=HaHa: μμSelect an answer > not = < (Put in the correct symbol and value)b) Determine the test statistic. Round to two decimals.t=t=c) Find the p-value. Round to 4 decimals.P-value = d) Make a decision. Reject the null hypothesis Fail to reject the null hypothesis e) Write the conclusion. There is sufficient evidence to support the claim that student loan debt is higher than $25,235. There is not sufficient evidence to support the claim that student loan debt is higher than $25,235.
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if Question Viewer idence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Male 340 164 Female 319 161 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. The sex of the respondent The sex of the respondent Ho: H₁: Compute the test statistic. Don't know 27 29 and the choice for the cause of global warming are independent. and the choice for the cause of global warming are dependent. (Round to three decimal places as needed.)
In a clinical trial of a drug intended to help people stop smoking, 125 subjects were treated with the drug for 12 weeks, and 14 subjects experienced abdominal pain. If someone claims that more than 8% of the drug's users experience abdominal pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.17 as an alternative value of p, the power of the test is 0.95. Interpret this value of the power of the test. The power of 0.95 shows that there is a % chance of rejecting the hypothesis of p = when the true proportion is actually That is, if the proportion of users who experience abdominal pain is actually then there is a % chance of supporting the claim that the proportion of than 0.08. users who experience abdominal pain is (Type integers or decimals. Do not round.)
If a hypothesis test were conducted using a 5% level of significance, for which of the following p-values would the null hypothesis be rejected? A. 0.0367 B. 0.0501 C. 0.100 D. 0.299
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? identify the null and alternative hypothesis What is the test statistic? What is the p-value? What is the critical value? Human activity Natural patterns Don't know Male 343 150 28 Female 356 173 30 Chi-Square Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103…
Suppose 230 subjects are treated with a drug that is used to treat pain and 52 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0:p=0.20 H1:p>0.20 B. H0:p=0.20H1: p≠0.20 C. H0:p=0.20 H1:p<0.20 D. H0:p>0.20 H1:p=0.20 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is ___________ (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is ___________ (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test.
Prof. Johnson conducts a hypothesis test on whether the proportion of all UBC students who bike to school (denoted as p) equals 30%. Specifically, Prof.Johnson has H0:p=0.3 versus HA:p≠0.3. He obtains a P-value of 0.01. On the other hand, Prof. Smith would like to test if there is sufficient evidence to support that p is greater than 0.3 at the 10% significance level. Based on Prof. Johnson's result, will the null hypothesis of Prof. Smith's test be rejected? A. There is insufficient information to tell.B. Yes.C. No.
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 307 173 27 Female 326 148 29 Identify the null and alternative hypotheses. Ho: (1)__________and (2)___________are (3)_____________…
5. It is claimed that the proportion of high school athletes who go on to play sports in college is 0.08. Believing this claimed value is incorrect, a researcher surveys a random sample of former high school athletes and finds that the proportion who went on to play sports in college is 0.07. When a hypothesis test is conducted at a significance (or alpha) level of 0.10, the P-value is found to be 0.06. What decision should the researcher make based on the results of the hypothesis test? 1. The null hypothesis should be rejected because 0.06 is less than 0.10. 2. The null hypothesis should be rejected because 0.06 is less than 0.07. 3. The null hypothesis should be rejected because 0.06 is less than 0.08. 4. The null hypothesis should be rejected because 0.07 is less than 0.08. 5. The null hypothesis should not be rejected.
Test the claim that the proportion of men who own cats is significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:p=0.8H0:p=0.8H1:p>0.8H1:p>0.8 H0:μ=0.8H0:μ=0.8H1:μ<0.8H1:μ<0.8 H0:μ=0.8H0:μ=0.8H1:μ>0.8H1:μ>0.8 H0:p=0.8H0:p=0.8H1:p<0.8H1:p<0.8 H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 The test is: two-tailed right-tailed left-tailed Based on a sample of 100 people, 87% owned catsThe test statistic is: (to 2 decimals)The positive critical value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
A health insurance company wants to determine if more than 25% of US residents have been to a hospital emergency room within the past year. It was found that in a sample of 1000 people, 28% indicated that they had been to an emergency room within the past year. With a significance level of 0.01, is there evidence to suggest that the proportion of US residents that have been to the emergency room in the past year is actually higher than 25%?

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