The claim and state H 0 and H 1

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Answer 1

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Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 11, Problem 11.1.1RE

a.

To determine

To identify: The claim and state H0 and H1

b.

To determine

To find: The critical value.

c.

To determine

To find: the test statistic.

d.

To determine

To decide: whether to reject or fail to reject the null hypothesis at a level of significance

α=0.01 .

e.

To determine

To interpret: The decision in the context of the original claim.

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Identify whether inferential statistics is applicable or not. Justify your answers by giving a logical explanation. An auditor of a government office wants to assess what proportion of experiment records were done correctly. Instead of going over 10,000 records, she decides to sample the first 100 records on her desk, and notices that 97 of them were done well. She concludes that 97% of all the records given to her were done well.

Researchers want to use a hypothesis test to test the claim that the proportion of college students that have an Instagram account is more than 85%. They obtained a simple random sample of 463 students and obtained the following results: Has Instagram Account. Frequency Yes 411 No 52 a. Are the researchers testing a claim about a proportion or mean? B.Assume that the requirements needed for the hypothesis test have been met. Write the mathematical expression for the null and alternative hypothesis. C.Use the formula to find the test statistic. Round your answer to two decimal places. D. The researchers found the P-value to be 0.01. Provide a sketch of the density curve that belongs to this P-value. E.Using a 5% level of significance and a P-value of 0.01, do the researchers reject or fail to reject the null hypothesis? Explain your reasoning.

Illustrative Example 1: (Non-Directional Hypothesis) Illustrative Example 2: (Directional Alternative Hypothesis) Illustrative Example 3: (Directional Alternative Hypothesis) Private universities' mean tuition cost is The mean number of years Filipinos work before retiring is 34. more than P110,000 per year. The average TV viewing time of all five- year old children is less than 3 hours daily. Null Hypothesis: H: The mean number of years Filipinos work before retiring is 34. H: μ= 34 Alternative Hypothesis: H.: The mean number of years Filipinos work before retiring is not 34. H.i µ # 34 Null Hypothesis: H,: The mean tuition for private universities cost less than or equal to P110,000 per year. H: μ Pl 10,00 Alternative Hypothesis: Hạ: The mean tuition for private universities cost more than Pl10,000 Null Hypothesis: H,: The average TV viewing time of all five-year old children is greater than or equal to 3 hours daily. H: µ23 Alternative Hypothesis: Hạ: The average TV viewing time of…

Answer 2

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Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 11, Problem 11.1.1RE

a.

To determine

To identify: The claim and state H0 and H1

b.

To determine

To find: The critical value.

c.

To determine

To find: the test statistic.

d.

To determine

To decide: whether to reject or fail to reject the null hypothesis at a level of significance

α=0.01 .

e.

To determine

To interpret: The decision in the context of the original claim.

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Answer 3

Question

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 11, Problem 11.1.1RE

a.

To determine

To identify: The claim and state H0 and H1

b.

To determine

To find: The critical value.

c.

To determine

To find: the test statistic.

d.

To determine

To decide: whether to reject or fail to reject the null hypothesis at a level of significance

α=0.01 .

e.

To determine

To interpret: The decision in the context of the original claim.

Expert Solution & Answer

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Answer 4

Question

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 11, Problem 11.1.1RE

a.

To determine

To identify: The claim and state H0 and H1

b.

To determine

To find: The critical value.

c.

To determine

To find: the test statistic.

d.

To determine

To decide: whether to reject or fail to reject the null hypothesis at a level of significance

α=0.01 .

e.

To determine

To interpret: The decision in the context of the original claim.

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Answer 5

Chapter 11, Problem 11.1.1RE

a.

To determine

To identify: The claim and state H0 and H1

b.

To determine

To find: The critical value.

c.

To determine

To find: the test statistic.

d.

To determine

To decide: whether to reject or fail to reject the null hypothesis at a level of significance

α=0.01 .

e.

To determine

To interpret: The decision in the context of the original claim.

Answer 6

Chapter 11, Problem 11.1.1RE

a.

To determine

To identify: The claim and state H0 and H1

Answer 7

Chapter 11, Problem 11.1.1RE

a.

To determine

To identify: The claim and state H0 and H1

Answer 8

b.

To determine

To find: The critical value.

Answer 9

b.

To determine

To find: The critical value.

Answer 10

c.

To determine

To find: the test statistic.

Answer 11

c.

To determine

To find: the test statistic.

Answer 12

d.

To determine

To decide: whether to reject or fail to reject the null hypothesis at a level of significance

α=0.01 .

Answer 13

d.

To determine

To decide: whether to reject or fail to reject the null hypothesis at a level of significance

α=0.01 .

Answer 14

e.

To determine

To interpret: The decision in the context of the original claim.

Answer 15

e.

To determine

To interpret: The decision in the context of the original claim.

Answer 16

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Answer 17

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Answer 18

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Answer 19

Ch. 11.1 - Prob. 1TY Ch. 11.1 - Prob. 2TY Ch. 11.1 - Prob. 3TY Ch. 11.1 - Prob. 1E Ch. 11.1 - When the sign test is used, what population...Ch. 11.1 - Describe the test statistic for the sign test when...Ch. 11.1 - In your own words, explain why the hypothesis test...Ch. 11.1 - Explain how to use the sign test to test a...Ch. 11.1 - List the two conditions that must be met in order...Ch. 11.1 - Prob. 7E

The claim and state H 0 and H 1

Solution Summary: The null hypothesis indicates the claim.

Videos

To identify: The claim and state H0 and H1

To find: The critical value.

To find: the test statistic.

To decide: whether to reject or fail to reject the null hypothesis at a level of significance

α=0.01 .

To interpret: The decision in the context of the original claim.

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Chapter 11 Solutions

The claim and state H 0 and H 1

Solution Summary: The null hypothesis indicates the claim.

Videos

To identify: The claim and state H0 and H1

To find: The critical value.

To find: the test statistic.

To decide: whether to reject or fail to reject the null hypothesis at a level of significance α=0.01 .

To interpret: The decision in the context of the original claim.

Want to see the full answer?

Chapter 11 Solutions

To decide: whether to reject or fail to reject the null hypothesis at a level of significance

α=0.01 .