### Hypothesis Testing**Consider the hypothesis test below.**- Null Hypothesis (\(H_0\)): \( p_1 - p_2 \leq 0 \)- Alternative Hypothesis (\(H_a\)): \( p_1 - p_2 > 0 \)The hypothesis test involves the following results from independent samples taken from two populations:#### Sample Descriptions**Sample 1:**- Sample size (\(n_1\)): 100- Sample proportion (\(\bar{p}_1\)): 0.27**Sample 2:**- Sample size (\(n_2\)): 300- Sample proportion (\(\bar{p}_2\)): 0.15**Instructions:**- Use the pooled estimator of \(p\).**Questions:**a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B.b. With \(\alpha = 0.05\), what is your hypothesis testing conclusion?[Answer Options in Dropdown]

# Given: n1=100., P1=0.27 n2=300 ,p2=0.15 To find p value ? Conclusion about null hypothesis…

Answered: Consider the hypothesis test below. Ho…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Below are the SPSS results of a related (dependent) samples t-test. Use the SPSS results Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 Statistics Posttest 57.1250 40 16.73962 2.64677 Statistics Pretest 49.9250 40 15.09014 2.38596 Mean Std. Deviation Std. Error Mean t df Sig. two tail Statistics Posttest - Statistics Pretest 7.200 12.313 (a. ) (b. ) (c. ) .001 Find the mean of the differences ( and standard deviation of the differences (Sd). Replace “a,” “b,” and “c” in the table above with the correct values. Round to the third decimal place. Do you think there is a statistically significant difference between the pretest and posttest at the .05 level of significance?
What is the sample difference in means? Question 7 options: a. Lake Rick sample is non-normal, so no comparison is possible. b. 0.5125 kg c. observed p= 0.0167, reject Ho: mean(1) - mean(2) =0 at =0.05. d. +- 0.5 kg e. 0.6572 kg
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Test the claim about the population mean, p, at the given level of significance using the given sample statistics. Claim: u = 30; a = 0.09; o = 3.16. Sample statistics: x = 29.5, n = 66 Identify the null and alternative hypotheses. Choose the correct answer below. O B. H,: H= 30 Ha:u> 30 O A. Ho: H 30 Ha: u= 30 O E. Ho: H= 30 O F. Ho:H=30 Ha: H<30 Hi µ#30 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is. O B. The critical values are t Determine the outcome and conclusion of the test. Choose the correct answer below.
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3. Given the following GPA for 4 students: 2, 3, 3, 4. Age of students are: 10, 11,12, 15. There are 10,000 total students. Average GPA: Unknown, StandardDeviation of GPA: 0.02 and it’s Normal.a. Find the mean and standard deviation for GPA.b. Calculate a 95% confidence interval for the populations mean GPA.c. Use Correlation formula to find r between GPA and Age.d. Find Regression Line Equation.e. If a student’s age is 13, what is the corresponding GPA?
Given the data below, what is the calculated test statistic? Placebo Medication 1 Medication 2 3 4 9 1 3 7 3 5 8 2 5 11 4 4 9 3 SS1 = 5.33 SS2 = 2.8 SS3 = 8.8 T1 = 16 T2 = 21 T3 = 44 n1 = 6 n2 = 5 n3 = 5 ∑X2 = 53 Do you reject the null? Yes No Was there a treatment effect for type of medication on number of anti-anxiety symptoms? Yes No
Below are the SPSS results of a related (dependent) samples t-test. Use the SPSS results to answer Questions 5, 6, and 7. Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 Statistics Posttest 57.1250 40 16.73962 2.64677 Statistics Pretest 49.9250 40 15.09014 2.38596 Paired Samples Test Paired Differences t df Sig. (2-tailed) Mean Std. Deviation Std. Error Mean Pair 1 Statistics Posttest - Statistics Pretest 7.200 12.313 ( a ) ( b ) ( c ) .001 Find the mean of the differences ( and standard deviation of the differences (Sd). Replace “a,” “b,” and “c” in the table above with the correct values. Round to the third decimal place. Do you think there is a statistically significant difference between the pretest and posttest at the .05 level of significance?
Which of the following is NOT a misuse of statistics?Choose the correct answer below.A.Utilizing valid statistical methods and correct sampling techniquesB.Concluding that a variable causes another variable because they have some correlationC.Misleading graphsD.Making conclusions about a population based on a voluntary response sample
Researchers were interested in assessing whether stress levels are different at the beginning of the semester compared to finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week. Participant Stress 1 Stress 2 1 22 22 2 32 34 3 24 25 4 28 30 5 26 29 What test should be used to test for differences in stress at these two time-points? Select one: a. paired samples t-test b. independent samples t-test c. Pearson correlation d. single sample t-test
Answer the chi-square questions using the data below. Use an ? of 0.10? B A 1 2 3 4 1 20 29 11 19 2 9 18 24 21 a) What is the appropriate test statistic? ---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test One-Way ANOVA Within-Subjects ANOVA Two-Way ANOVA Correlation Slope Chi-Square GoF Chi-Square IndependenceCompute the statistic selected in a): b) Obtain/compute the appropriate values to make a decision about H0.Critical Value = ; Test Statistic = Decision: ---Select--- Reject H0 Fail to reject H0c) Compute the corresponding effect size(s) and indicate magnitude(s).If not appropriate, input and/or select "na" below.Effect Size = ; Magnitude: ---Select--- na trivial effect small effect medium effect large effect
What are the values for SS and variance for the following sample of n = 3 scores? Sample: 8, 5, 2

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