(a) State the null hypothesis H and the alternative hypothesis H,.H, :0On(b) Determine the type of test statistic to use.(Choose one) ▼O=0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)O#0O In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, thatpractice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 137 houses built in SouthernCalifornia in the twentieth century and an independent, random sample of 67 new houses built in Southern California. The sample of twentieth century housescontained 61 houses with pools, and the sample of new houses contained 17 houses with pools.Based on this survey, can we conclude, at the 0.01 level of significance, that the proportion p, of all Southern California twentieth century houses that were builtwith pools is greater than the proportion P2of all new Southern California houses that were built with pools?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list offormulas.)

Consider , first population represents twentieth century houses and second population represents new…

Answered: (a) State the null hypothesis H, and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a= 0.05, and (c) a=0.10. P = 0.0762 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0762, is less than a=0.01. O B. Reject Ho because the P-value, 0.0762, is greater than a = 0.01. OC. Fail to reject H, because the P-value, 0.0762, is greater than a = 0.01. O D. Fail to reject H, because the P-value, 0.0762, is less than a = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? O A. Fail to reject Ho because the P-value, 0.0762, is less than a = 0.05. O B. Reject H, because the P-value, 0.0762, is less than a = 0.05. O C. Reject H, because the P-value, 0.0762, is greater than a = 0.05. O D. Fail to reject Ho because the P-value, 0.0762, is greater than a = 0.05.
Statistics Question
Life on Other Planets Forty-three percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 120 randomly selected individuals and found 69 believed that there is life on other planets. At α=0.01, is there sufficient evidence to conclude that the percentage differs from 43% ? Use the P -value method with tables. :H0 ▼(Choose one) :H1 ▼(Choose one) This hypothesis test is a ▼(Choose one) test. (b)Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas. Critical Value(s): (c)Compute the test value. Round the answer to at least two decimal places. z= (d)Make the decision. (choose one) the null hypothesis (e)Summarize the results. There is ▼(Choose one) that the percentage of people who believe that there is life on other planets differs from 43% .
For the situation described below, state the null hypothesis, Ho, and the alternative hypothesis, H, to be tested. (Enter != for # as needed.) A statistical test is designed to show that the proportionp of defectives has decreased below 0.6%. Ho: 0.6 H: 0.6
ideo Lec e so oxtra Pra Jorkshe ee sc A medical researcher says that less than 72% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600 Fables (fo adults in that country, 68% think that healthy children should be required to be vaccinated. At a = 0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. e sc Assignme (a) ldentify the claim and state Ho and H. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Gradeboc e sc Email O A. Less than % of adults in the country think that healthy children should be required to be vaccinated. O B. More than % of adults in the country think that healthy children should be required to be vaccinated. еТеxt OC. % of adults in the country think that healthy children should be required to be vaccinated. Accessibl Resource O…
What are the hypotheses for the test? A. H0: β1≠0 and Ha: β1=0 B. H0: β1=0 and Ha: β1<0 C. H0: β1=0 and Ha: β1>0 Your answer is not correct. D. H0: β1=0 and Ha: β1≠0 This is the correct answer. What is the test statistic? t= (Round to two decimal places as needed.) Find the P-value. P-value= (Round to three decimal places as needed.) Part 4 Which of the following is the correct conclusion for the hypothesis test? A. Do not reject H0; the data provide sufficient evidence to conclude that x is useful for predicting y. B. Reject H0; the data do not provide sufficient evidence to conclude that x is useful for predicting y. C. Do not reject H0; the data do not provide sufficient evidence to conclude that x is useful for predicting y. Your answer is correct. D. Reject H0; the data provide sufficient evidence to conclude that x is useful for predicting y. Part 5 b. Find a 95%…
Scientist Irish used a paired t-test to test the effectiveness of a drug she is developing. She obtained a p-value = 0.005 (she used α = 0.05). Suppose the drug actually works. Which of the following statements is correct? Irish should not have rejected the null hypothesis because the p-value is too large. Type I error occurred. Type II error occurred. There was no error.
The proportion of defective items is not allowed to be over 12%. A buyer wants to test whether the proportion of defectives in his shipment of 1000 items exceeds the allowable limit. The buyer takes a SRS of 100 items and finds that 19 are defective. State the null and alternative hypotheses for this test. Group of answer choices Ho: p = 0.12 vs Ha: p > 0.12 Ho: p = 0.19 vs Ha: p ≠ 0.12 Ho: p = 0.12 vs Ha: p < 0.19 Ho: p = 0.12 vs Ha: p = 0.19
S Identify the type I error and the type II error for a hypothesis test of the indicated claim. The percentage of adults who retire at age 65 is less than 62%. Identify the type I error. Choose the correct answer below. OA. Reject the null hypothesis that the percentage of adults who retire at age 65 is less than 62% when it is actually true. OB. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is greater than or equal to 62% when it is actually false. OC. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is less than 62% when it is actually false. OD. Reject the null hypothesis that the percentage of adults who retire at age 65 is greater than or equal to 62% when it is actually true. Get more help - 4 Q Search P Pearson 3 right © 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | S Clear all Check ans
HYPOTHESIS TESTING 1. Formulate the null and the alternative Ho: hypotheses In symbol: Ho: μ = 50 Ha: The average weight of bag of chemical is not equal to 50 kilograms. In symbol: Ha: 2. Specify the following: A. Level of Significance A. B. Types of Hypothesis Testing [one-tailed test B. two tailed test (left-tailed or right-tailed) or a two-tailed test] 3. Specify the following: A. The test statistic to be used. (t-test: one sample mean or t-test: two sample means) A. B. Find the Degree of Freedom Formula: df = n-1 (for one-sample mean test) B. df = n -1 df = (n + n₂) - 2 (for two-sample mean test) df = 16-1 C. The critical or tabular value (t critical). (Can be found on the given table of Tabular Value of T) df = 15 C. 2.947 4. Compute for the value of the test statistic Formula: (t computed) using the data from the population (x-μ)√n t= and the sample/s. Given: хэ 48.1 μl - n-29 s-0.9 Substitute the given to the formula and solve:

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(a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 S H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ロロ O