A random sample of 876 births included 430 boys. Use a 0.05 significance level to test the claim that 50.7% of newborn babies are boys. Do the results support the belief that 50.7% of newbornbabies are boys?Identify the null and alternative hypotheses for this test. Choose the correct answer below.OA. Ho: p0.507H₁: p=0.507OB. Ho: p=0.507H₁: p<0.507OC. Ho: p=0.507H₁: p0.507OD. Ho: p=0.507H₁: p>0.507

Answered: A random sample of 876 births included…

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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If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.6792 and ZSTAT=−0.47,what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? Since the p-value is Less than or Greater than or equal to a= , Reject , Do not reject H0.
In testing hypotheses, which of the following would be strong evidence against the null hypothesis?a. Obtaining data with a test statistic of small magnitude.b. Obtaining data with a small P-value.c. Obtaining data with a large P-value.d. Using a large level of significance, α.e. Using a small level of significance, α
In performing a hypothesis T-test, the p-value was 0.00046 and the significance level was 5%. What is the conclusion? Is it a,b,or c? a. Reject the null hypothesis and accept the alternate hypothesis b. Accept both the null hypothesis and alternate hypothesis c. Fail to reject the null hypothesis
If the level of significance for a test for independency was 5% and the p-value was 0.03, what would the conclusion be: a. Fail to reject the null hypothesis b. Reject the null hypothesis and accept the alternate hypothesis
For the given value of α and observed significance level (p -value), indicate whether the null hypothesis would be rejected.α = 0.01, p- value = 0.09 Reject H0 Fail to reject H0
A fast-food restaurant claims that a small order of french fries contains 120 calories. A nutritionist is concerned that the true average calorie count is higher than that. The nutritionist randomly selects 35 small orders of french fries and determines their calories. The resulting sample mean is 155.6 calories, and the pp-value for the hypothesis test is 0.00093. Which of the following is a correct interpretation of the p-value? A)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more. B) If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or less. C)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more, or a sample mean of 84.4 calories or less. .D)If the population mean is 155.6 calories, the p -value of 0.00093…
Listed below are the heights (in inches) of fathers and their first sons. The dataare from a journal kept by Francis Galton. Use a 0.05 significance level to testthe claim that there is no difference in heights between fathers and their firstsons. (State the null and alternate hypothesis, the p-value method to make adecision, and write a conclusion based on the results.) Height of Father 72.0 66.0 69.0 70.0 70.0 70.0 70.0 75.0 68.265.0Height of Son 73.0 68.0 68.0 71.0 70.0 70.0 71.0 71.0 70.063.0
Historically, the percentage of U.S. residents who support stricter gun control laws has been 55%. A recent Gallup Poll of 2500 people showed 1723 in favor of stricter gun control laws . Assume the poll was given to a random sample of people. QUESTION Test the claim that the proportion of those favoring stricter gun control has changed from 0.55. Perform a hypothesis test, using a significance level of 0.01. What are the hypotheses? Null: p=0.55 Alternate: p=0.55 Null: p=0.55 Alternate: p0.55 Null: p=0.55 Alternate: p ≠ 0.55
If, in a (two-tail) hypothesis test, the p-value is 0.1064, what is your statistical decision if you test the null hypothesis at the 0.06 level of significance? Choose the correct answer below? A. Since the p-value is greater than α, do not reject H0. B. Since the p-value is less than α, reject H0. C. Since the p-value is greater than α, reject H0. D. Since the p-value is less than α, do not reject
A real estate agent compares the selling prices of randomly selected homes in two municipalities in southwestern Pennsylvania to see if there is a difference. The results of the study are shown. Is there enough evidence to reject the claim that the average cost of a home in both locations is the same? Use the 0.01 level of significance. Scott X-bar 1= $93,430 01= $5602 n1= 35 Ligonier X-bar 2= $98,043 02= $4731 n2= 40 What is the appropriate alternate hypothesis? Find the critical Value Compute the test value Make the decision Summarize the Results
the city's waste manager is interested in testing to see if the mean amount of garbage per bin is different from 50 pounds. In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds. Conduct the appropriate hypothesis test using a 0.01 level of significance.a) What are the appropriate null and alternative hypotheses? a. H0: ? = 50 versus Ha: ? < 50 b. H0: ? = 50 versus Ha: ? ≠ 50 c. H0: x = 50 versus Ha: x ≠ 50 d. H0: ? = 50 versus Ha: ? > 50 B.) What is the test statistic? C.) What is the P-value for the test?
The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 115 employees in the private sector showed that 32 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use α = 0.05. State the null and alternate hypotheses. H0: μ = 0.36; H1: μ < 0.36H0: p = 0.36; H1: p > 0.36 H0: p = 0.36; H1: p < 0.36H0: p = 0.36; H1: p ≠ 0.36H0: μ = 0.36; H1: μ > 0.36H0: μ = 0.36; H1: μ ≠ 0.36 (b) What sampling distribution will you use? What assumptions are you making? The standard normal, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal…

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