QuestiMAT206In a hypothesis test, we reject the null hypothesis at level a if:O the P-value is less than, or equal to, a.O the P-value is greater than, or equal to, a.O the data indicate that an important and meaningful effect has been detected.Oa is very small.56.10 pts

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Answered: In a hypothesis test, we reject the…

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 researcher is interested in investigating whether living situation and pet ownership are dependent. The table below shows the results of a survey. Frequencies of Living Situation and Pet Single Family Couple Dog 87 81 95 Cat 118 70 100 Various 34 46 57 None 60 57 46 What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Independence Goodness-of-Fit Paired t-test Homogeneity What are the null and alternative hypotheses?H0:H0: The distribution of pets is not the same for each living situation. Pet ownership and living situation are independent. Pet ownership and living situation are dependent. The distribution of pets is the same for each living situation. H1:H1: Pet ownership and living situation are independent. The distribution of pets is not the same for each living situation. Pet ownership and living situation are dependent. The distribution of pets is the same for each living situation. The…
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Test the claim that the mean GPA of night students is larger than 2 at the 0.10 significance level. The null and alternative hypothesis would be: Họ :p = 0.5 Họ:µ = 2 Ho:u 0.5 Ho:p 2 H1 :p + 0.5 H1:µ # 2 H1:µ > 2 H1:p 0.5 H1:µ < 2 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, the sample mean GPA was 2.02 with a standard deviation of 0.05 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the proportion of people who own cats is smaller than 10% at the 0.025 significance level. The null and alternative hypothesis would be: Ho p ≤ 0.1 Ho:μ = 0.1 Ho:p 0.1 H₁:p> 0.1 H₁:μ 0.1 H₁:p ‡ 0.1 O The test is: = left-tailed two-tailed right-tailed Based on this we: Based on a sample of 600 people, 5% owned cats The p-value is: Ho≥ 0.1 Ho: ≤0.1 Ho:p> 0.1 H₁:μ 0.1 H₁:p < 0.1 O O Reject the null hypothesis O Fail to reject the null hypothesis (to 2 decimals)
20. Which of the following is a null hypothesis? a. Pregnant women who drink cranberry juice will have lower urine bacterial counts than those who do not drink cranberry juice. b. The urine bacterial count of pregnant women who drink cranberry juice will be lower or equal to that of pregnant women who do not drink the juice. c. There will be a difference between ingestion of cranberry juice and among pregnant women who do and do not have high urine bacterial counts.
Perform an independent-measures (samples) t-test in SPSS to determine if the starting salary (Variable "salary" "Starting Salary") of males is significantly higher than the starting salary of females. Use α = .01. p-value .0005 T-statistics 3.45 This is a one-tailed test because we are interested in whether the salary of one group is significantly greater than the salary of the other group Our assumption is this correct ? We reject the null because because .0005 is less than .01 and conclude male salary is greater than female salary ? or it is not greater ?
Test the claim that the mean GPA of night students is larger than 2.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho: µ = — 2.4 Но:р 2.4 Н: + 2.4 H:p> 0.6 H:д> 2.4 Hi:p #0.6 Hi:p < 0.6 Н:р < 2.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 65 people, the sample mean GPA was 2.41 with a standard deviation of 0.03 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Which of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? a. A small alpha level reduces the likelihood of a Type I error. b. A small alpha level reduces the effect size. c. A small alpha level increases statistical power. d. A small alpha level increases the likelihood of detecting statistical significance.
When do I decide whether to do a two sample T test or a two sample Z test? A. It depends on my null hypothesis B. It depends on the size of my N C. It depends on whether or not I know the population value for sigma D. Itdepends on whether I know the value of mu (the population mean)
Test the claim that the proportion of men who own cats is larger than 20% at the .05 significance level. The null and alternative hypothesis would be: 0.2 Но:р — 0.2 Но: и 0.2 Ho:H Ho:H H:р + 0.2 Н]:р 0.2 Hi:р > 0.2 Hi:р#0.2 0.2 Но:р || The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, 25% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
A researcher wants to study the relationship between salary and gender. She randomly selects 218 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent? Income Step 1 of 8: State the null and alternative hypothesis. Male Below $25,000 18 $25,000-$50,000 35 23 $50,000-$75,000 26 60 Above $75,000 26 18 105 113 Female Total 12 30 58 86 44 218 Total Copy Data

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In a hypothesis test, we reject the null hypothesis at level a if: O the P-value is less than, or equal to, a. O the P-value is greater than, or equal to, a. O the data indicate that an important and meaningful effect has been detected. Oa is very small.