We have to accept or reject a large shipment of items. For quality control purpose, we collect a sample of 150 items and find 20 defective item in it. The manufacturer claims that at most one in 10 items in the shipment is defective. (a) At 5% level of significance, conduct a one-sided test. Write out Ho and HA (b) Compute the

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...

See similar textbooks

Related questions

Q: An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans…

A: The question is about hypo. testing Given : Randomly selected no. of students ( n ) = 82 No. of…

Q: Is the proportion of wildfires caused by humans in the south lower than the proportion of wildfires…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am solving…

Q: A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were…

A: Given: p0=0.98α=0.01n=500x=480

Q: In a survey, 36% of the respondents stated that they talk to their pets on the telephone. A…

Q: A study was conducted to determine the proportion of people who dream in black and white instead of…

A: α=0.01 Sample size, n1=323 No. of people dream in black and white, x1=73 Sample size, n2=315 No. of…

Q: Suppose you are comparing four groups in an ANOVA, and your result is significant. You want to…

A: In the given situation, there are 8 comparison groups. Number of pairwise comparisons =[(number of…

Q: Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires…

A: a. Denote p1, p2 as the true population proportions of wildfires caused by human in south and west,…

Q: 2. A decade-old study found that the proportion, p, of high school seniors who believed that…

A: Given that,possible chances (x)=165sample size(n)=240success rate ( p )= x/n = 0.6875success…

Q: Now, suppose that the agronomist is also interested in how a particular type of fertilizer, in…

A: (d). Identify the experimental units in the study: The agronomist is interested to test how a…

Q: Test the claim that the proportion of people who own cats is significantly different than 20% at the…

A: Given that Sample size: n =400 Sample proportion: p^=0.12 Population proportion: P=0.20 Level of…

Q: Different students groups in a class of the Department of Chemistry were conducting lab experiments…

Q: Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 225 women,…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Twenty years ago, 47% of parents of children in high school felt it was a serious problem that…

Q: (b) In a sample of 75 bags of original Skittles, the mean number of yellow Skittles per bag was 12…

Q: Test the claim that the proportion of people who own cats is smaller than 70% at the 0.01…

A: Given: Sample size (n) = 500 The hypotheses are as follow: H0: p = 0.70 H1: p < 0.70 Sample…

Q: Test the claim that the proportion of men who own cats is significantly different than 45% at the…

A: Solution: Let X be number of men owned cats and n be the sample number of men. From the given…

Q: The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's…

A: Note:Thank you for posting the question! Since your question has more than 3 parts, we have solved…

Q: A random sample of n1 = 292 voters registered in the state of California showed that 143 voted in…

A: From the given information, let X1 be the number of registered voters in the state of California…

Q: A company that sponsors LSAT prep courses would like to be able to claim that their courses improve…

A: a)Suppose μd is the population mean difference between post and initial test scores.

Q: Is the proportion of wildfires caused by humans in the south different from the proportion of…

A: n1=590,x1=386,n2=538,x2=363

Q: Twenty years ago, 55% of parents of children in high school felt it was a serious problem that high…

A: Given n=700 P0=0.55

Q: Quit oking: In a survey of 444 HIV-positive smokers, 200 reported that they nad used a nicotine…

A: We have given that Sample size n = 444 Favorable cases x = 200 Sample proportion p^=x/n

Q: Mrs. Paul wants to test that claim that, on average, her students average mark is 85. She pulls the…

A: Given that, Mrs. Paul wants to test that claim that, on average, her students average mark is 85.…

Q: For a project in his statistics class, Mark conducted a survey in which he asked participants to…

A: It is given that the average ratings are Corvette is 8.3, RAV4 is 6.7 and Civic is 3.9.

Q: Is the proportion of wildfires caused by humans in the south different from the proportion of…

A: Let us consider the two samples which are independent. Let the observation in each samples are taken…

Q: Test the claim that the proportion of people who own cats is smaller than 70% at the 0.01…

A: Hypothesis Ho: p=0.70 vs H1: p< 0.70 Given Alpha= 0.01, pcap= 0.64, n=500

Q: α is the observed level of significance whereas the p-value is the preset level of significance.…

A: We have given that, α is the observed level of significance whereas the P- value is the preset level…

Q: Is there a difference in the proportion of individuals with food allergies between young children…

A: Denote p1 is true proportion of young children have food allergy and p2 is the true proportion of…

Q: How do i find a two sample t test using a Ti-84 calculator step by step?

A: To calculate two sample test using a Ti-84 calculator

Q: Test the claim that the proportion of people who own cats is smaller than 70% at the 0.10…

A: The value of z-test statistic is,

Q: A physical therapist believes that men have higher blood pressure than women. He collected the blood…

A: A) In this case, we will use the independent samples t-test because of the following reasons The…

Q: Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 232 women,…

A: As per guideline we answer the first thrwe subparts only. Solution. The research wants to test…

Q: Lecture(10.3): Identify the test statistic used for the ANOVA procedure and how it is…

A: Identify the test statistic used for the ANOVA procedure and how it is calculated.

Q: Twenty years ago, 47% of parents of children in high school felt it was a serious problem that high…

A: Given that Sample size n =900 Population proportion p=47%=0.47

Q: In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20…

Q: tor & Gamble claims that at least half the bars of Ivory soap they produce are 99.44% pure (or more…

A: The null and alternative hypotheses are: Ho: p ≥ 0.50Ho:p≥0.50 Ha: p &lt; 0.50Ha:p<0.50 This…

Q: Twenty years ago, 52% of parents of children in high school felt it was a serious problem that high…

A: The hypothesis tests, contain two hypothesis: null hypothesis and alternate hypothesis. The…

Q: Twenty years ago, 52% of parents of children in high school felt it was a serious problem that high…

Q: ‘In 1996, 31% of students reported that their mothers had graduated college. In 2000, the percentage…

A: The formula to calculate z-test statistic for proportion is given by, ztest = (p̂ – p)/√[p(1–p)/n]…

Q: In a sample of 88 children selected from a city, 8 children suffer from asthma. What is the P-value…

A: Statistical hypothesis testing is an important method in inferential statistics. Statistical tests…

Question

We have to accept or reject a large shipment of items. For quality control purpose, we collect a sample of 150 items and find 20 defective item in it. The manufacturer claims that at most one in 10 items in the shipment is defective. (a) At 5% level of significance, conduct a one-sided test. Write out Ho and HA (b) Compute the p-value. (Round the answer to 4 decimals) (c) At the 5% level of significance, do we have sufficient evidence to disprove this claim? State your reasons

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information

VIEW

Step 2: Explanation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.75; H1: p > 0.75H0: p ≠ 0.75; H1: p = 0.75 H0: p < 0.75; H1: p = 0.75H0: p = 0.75; H1: p ≠ 0.75H0: p = 0.75; H1: p < 0.75 (b) What sampling distribution will you use? The Student's t, since np > 5 and nq > 5.The standard normal, 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 places.) (c) Find the P-value of the test…
In a small grocery, 23% of the bottled products were sold while 63% of the canned goods were not. If there were 345 bottled products and 330 canned goods, is there a significant difference between the proportion of sales of bottled products and canned goods? Test at 0.01 level of significance.
Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 348 of the 574 randomly selected wildfires looked at in the south were caused by humans while 272 of the 518 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer (please enter a decimal) H₁: Select an answer Select an answer Select an answer (Please enter a decimal) = c. The test statistic ? ◊ your answer to 3 decimal places.) (please show
Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 204 women, r1 = 70 responded yes. Another random sample of n2 = 178 men showed that r2 = 48 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume the population distributions are approximately normal.The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approximately normal. What is the value of the sample…
How do I find the P-value using my TI-84 calculator?
How would you respond to Step 3 for the One-Sample Z test? When is it appropriate to use?
In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 59 out of a random sample of 85 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.75; H1: p 0.75 (b) What sampling distribution will you use? O The Student's t, since np 5 and ng > 5. O The standard normal, since np 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
A publisher reports that 69 % of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually under the reported percentage. A random sample of 200 found that 60% of the readers owned a particular make of car. Is there sufficient evidence at the 0.10 level to support the executive's claim? Step 5 of 7: Identify the value of the level of significance.