3. Here are the observed frequencies from four categories: 5, 6, 8, 13. Assume we want to use a 0.05 significance level to test the claim that the four categories are all equally likely. (Goodness of fit test) (10 pts) a) What is the null hypothesis? b) What are the expected frequency for each of the four categories? c) What is the value of the test statistic? d) What is the critical value? e) What do you conclude about the given claim?

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A: It is given that Sample size n = 200 Number of defective X = 24 Level of significance = 0.04, 0.15

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A: The hypothesis testing is an inferential statistical procedure.

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Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

A: From the provided information, Number of categories (k) = 10 The test statistic value = 10.943 Level…

Q: Consider a sample of 52 football​ games, where 33 of them were won by the home team. Use a 0.10…

A: Given x=33 n=52 P=0.5

Q: Suppose we randomly sample 8 people in Grade 9 and record their final average. We follow up with the…

A: The data shows the final averages of 8 people in Grade 9 and Grade 10.

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A: Given that, sample size, n= 1100 And x= 506, We know that proportion,p= x/n p= 506/1100 p= 0.46 X~…

Q: A group of students estimated the length of one minute without reference to a watch or​ clock, and…

A: From the provided information, Sample size (n) = 15 Level of significance (α) = 0.01

Q: 2. Approximately what is the probability of selecting an SAT sample mean having a z-score between…

A: P(-1<z<1)=?

Q: (1) We are conducting many hypothesis tests to test a claim. Assuming the null hypothesis is true,…

A: Since you have asked multiple question, according to our guidelines we will solve the first question…

Q: # 2. The manager of Apple Green Golf wishes to study the number of rounds of golf played per week…

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Q: 4. A chi-square test for goodness-of-fit is used to test whether or not there are any preferences…

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A:

Q: Consider a sample of 47 football games, where 32 of them were won by the home team. Use a 0.10…

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Q: An article reported the folloving frequencies with which ethnic characters appeared in recorded…

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A: 3) When the given statistics hypothesis assumes a less than or greater than value, it is called…

Q: Here are the observed frequencies from four categories: 5,  6,  8,  13. Assume we want to use a…

A: (1) State the hypotheses. Null hypothesis: Alternative hypothesis:

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A: The sample mean is calculated as follows: The sample standard deviation is calculated as follows:

Q: Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the…

A: Given, Level of significance = α = 0.10k = 10 The null and alternative hypotheses are, H0 : oi = ei…

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A:

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

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Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

A: Given: N=100 Categories=4 α=0.025

Q: A teacher wants to know if more than 15% of her students use online resources to complete their…

A: Hypothesis  Ho: p=0.4 vs H1: p>0.4 pcap=0.15 n=40  We use z statistic for this test

Q: Suppose that we randomly choose 100 Skittles before they are packaged and pick 27 red candies, 19…

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Q: Suppose that in a random selection of 100colored​ candies, 25​% of them are blue. The candy company…

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Q: In the US, 45.9% of all people have type O blood, 39.3% have type A blood, 10.8% have type B blood…

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Q: Conduct the hypothesis test and provide the test statistic and the critical​value, and state the…

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Q: Region A Region B Mean salary $62,583 $60,117 Standard deviation $6,274 $9,319 Number of salaries…

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A:

Q: A candy company claims that the candy colors (red, purple, green, blue, and yellow) appear in the…

A:

Q: A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 195…

A: The observed frequencies for the outcomes of 1, 2, 3, 4, 5 and 6 are 35, 26, 37, 38, 23, and 36…