# Hypothesis TestingIn this section, we will review a sample problem related to hypothesis testing using the given test statistic. ---**Problem Statement**The test statistic of $ z = 2.47 $ is obtained when testing the claim that $ p > 0.1 $.**Questions:****a.** Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.**b.** Find the P-value.**c.** Using a significance level of $ \alpha = 0.10 $, should we reject $ H_0 $ or should we fail to reject $ H_0 $?---**Step-by-Step Solution:**### a. Type of Hypothesis Test**Determine the Type:**- Since the claim is $ p > 0.1 $, we are interested in whether the value is greater than 0.1.- This indicates a **right-tailed** test, as we are looking for values significantly larger than 0.1.**Answer for Part (a):**- This is a **right-tailed** test.### b. Finding the P-value**Usage of the Standard Normal Distribution Table:**- Click the links below to access the standard normal distribution table: - [Page 1 of the standard normal distribution table](#) - [Page 2 of the standard normal distribution table](#) Using the table to find P-value for $ z = 2.47 $:1. Locate 2.4 in the leftmost column of the table.2. Locate 0.07 in the topmost row of the table.3. The intersection gives the area to the left of $ z = 2.47 $. To find the P-value for a right-tailed test, subtract this area from 1.Thus:- P-value = $ 1 - \text{Area to the left of } z $### c. Decision Based on Significance Level**Testing with $ \alpha = 0.10 $**- If the P-value is less than $ \alpha $, we reject the null hypothesis $ H_0 $.- If the P-value is greater than $ \alpha $, we do not reject $ H_0 $.**Conclusion for Part (c):**- Compare the calculated P-value in part (b) with 0.10 and

It is given that the, In the testing problem, we claim that p>0.1. So, a) H0 : p=0.1 and H1:…

The test statistic of z = 2.47 is obtained when testing the claim that p>0.1. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. iooonoe louol of m-0 10 shuld wo roiect U chould wo foil t

The test statistic of z = 2.47 is obtained when testing the claim that p>0.1. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. iooonoe louol of m-0 10 shuld wo roiect U chould wo foil t

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.15p; pB=0.3; pC=0.15; pD=0.4pComplete the table. Category ObservedFrequency ExpectedFrequency SquaredResidual A 16 B 33 C 16 D 43 What is the chi-square test-statistic for this data?χ2=Report all answers accurate to three decimal places.VERY IMPORTANT NOTE: Answers are reported to 3 decimal places, but you should use all the decimal places to calculate the final chi-square test statistic...DO NOT use the rounded number you report in the table.
need help with d,f,g
The average salary in this city is $48,800. Is the average less for single people? 57 randomly selected single people who were surveyed had an average salary of $44,815 and a standard deviation of $16,730. What can be concluded at the a = 0.05 level of significance?
What is stated by the null hypothesis for the chi-square test for independence? a. There is no relationship between the two populations regarding the two variables. b. Both variables have the same frequency distribution. c. The two variables have different frequency distributions. d. There is a relationship between the two populations regarding the two variables.
for a two tailed test, if z=2.04, find the p value
B. Calculate the value of the test statistic. χ2=____ C. Use technology to determine the P-value for the test statistic. The P-value is______ D. What is the correct conclusion at the α=0.10 level of significance? Since the P-value is(greater or less)than the level of significance. (Do not reject or reject) the null hypothesis. There (is or is not) sufficient evidence to conclude that the standard deviation of heights of major-league baseball players is less than 2.4 inches at the 0.10 level of significance.
cen the othe tral wor 24. A researcher conducts a study comparing two dif- ferent treatments with a sample of n = 16 partici- pants in each treatment. The study produced the following data: study an mean nu tolerate Treatment 1: 6 7 11 4 19 17 2 5 9 13 6 23 11 4 6 1 tions. D tolerance Treatment 2: 10 9 6 61 11 8 6 3 2 11 1 127 10 9 Particip a. Calculate the mean for each treatment. Based on the two means, which treatment produces the higher scores? 2. b. Calculate the median for each treatment. Based on the two medians, which treatment produces the higher scores? 3. 4. 5. c. Calculate the mode for each treatment. Based on the two modes, which treatment produces the higher scores? L 0. 6
A test of the hypotheses, Ho: p s 0.24 and H1: p > 0.24 is a one-tailed test two-tailed test test of two sample means test of two sample proportions
The null hypothesis and the alternate hypothesis are: H0: The frequencies are equal.H1: The frequencies are not equal. Category f0 A 10 B 10 C 20 D 10 a. State the decision rule, using the 0.01 significance level. (Round your answer to 3 decimal places.) b. Compute the value of chi-square. (Round your answer to 2 decimal place.) c. What is your decision regarding H0?
Based on these results for a two-tailed test with a t-2.89 and a t -3.36 we O reject H, tail to reject Ho O accept Ho O reject He
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 ?
Suppose there is a claim that a certain population has a mean, u, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H, as follows. Ho: H=7 H: u#7 Suppose you also know the following information. The value of the test statistic based on the sample is - 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3 Step 3: Shade the area represented by the p- value. 0.2 Step 4: Enter the p- value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the…