What is the distance between (-2,1) and (-1,2) on a coordinate plane
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The number of dogs that are not puppies is 17, the number of adult dogs without long hair is 6, the number of puppy dogs with long hair is 8 and the number of puppy dogs without long hair is 7.
<h3>What is the information missing?</h3>To complete the chart it is necessary to determine:
- Number of dogs that are not puppies.
- Number of puppies with and without long hair
- Number of adult dogs without long hair
Number of dogs that are not puppies:
- 32 (total dogs) - 15 (puppies) = 17 dogs
Adult dogs without long hair:
- 17 (total adult dogs) - 11 (adult dogs with long hair) = 6 dogs
Puppy dogs with and without long hair
Total of puppy dogs = 15, this number can be obtained by adding 9+6 or 7+8. From these combinations, the only one that meets the rule "There are 6 more dogs that have long hair than dogs that do not have long hair" is 8 puppies with long hair and 7 puppies without long hair.
Note: This question is not written correctly; here is the correct and complete question.
Samantha gathered the following information on a given day at the dog park.
There are 32 dogs playing at the dog park.
15 of the dogs are puppies.
11 of the dogs are not puppies and have long hair.
There are 6 more dogs that have long hair than dogs that do not have long hair.
Fill in the table completely to represent Samantha’s data.
Learn more about dogs in: brainly.com/question/8565422
Answer:
Step-by-step explanation:
Given that:
A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.
a)
Thus; we formulate the null and the alternative hypotheses as follows:
The proportion is ; = 0.64
Null hypothesis:
The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.
Alternative hypothesis:
The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.
b)
The proportion of the population = 0.64
The sample size n = 100
The number of shoppers = 52 stating that the supermarket brand was as good as the national brand
The sample proportion
The z - value is calculated by the formula:
z = -2.50
Since z = -2.50
the p-value = 2P(Z ≤ -2.50)
p-value = 2 × 0.0062
The p-value = 0.0124
c)
At significance level, ∝ = 0.05 ; The p-value = 0.0124
According to the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05
Hence, the p-value =0.0124 < ∝ (=0.05)
According to the reject rule; reject null hypothesis.
Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.
d) we know that the significance level of ∝ = 0.05
The value is obtained as:
Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the first column is reached and the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area to the left of z
This implies that :
The critical value for left tail is -1.96 and the critical value for right tail is 1.96.
Conclusion:
The critical value is -1.96 and the value of test statistic is - 2.50. Here, we can see that the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.
Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.