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Tju [1.3M]
3 years ago
8

A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180 high school teache

rs, 36 were single. Is the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single? Use α = 0.01.
Mathematics
1 answer:
trapecia [35]3 years ago
8 0

Answer:

By using hypothesis test at α = 0.01, we cannot conclude that the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single

Step-by-step explanation:

let p1  be the proportion of elementary teachers who were single

let p2 be the proportion of high school teachers who were single

Then, the null and alternative hypotheses are:

H_{0}: p2=p1

H_{a}: p2>p1

We need to calculate the test statistic of the sample proportion for elementary teachers who were single.

It can be calculated as follows:

\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of high school teachers who were single (\frac{36}{180} =0.2)
  • p is the proportion of elementary teachers who were single (\frac{15}{100} =0.15)
  • N is the sample size (180)

Using the numbers, we get

\frac{0.2-0.15}{\sqrt{\frac{0.15*0.85}{180} } } ≈ 1.88

Using z-table, corresponding  P-Value is ≈0.03

Since 0.03>0.01 we fail to reject the null hypothesis. (The result is not significant at α = 0.01)

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Step-by-step explanation:

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Alec and Kiara went to Freddy's Yogurt Shop for frozen yogurt. Alec got 8.6 ounces of strawberry frozen yogurt, and Kiara got 8.
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Answer:

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Step-by-step explanation:

8.6 plus 8.2 is 16.8 so they had a total of 16.8 ounces.  $0.50 per ounce so you need to multiply 16.8 by 0.50 which is 8.40.  you can also do 8.6(0.5) plus 8.2(0.5)=  4.3 plus 4.1 = 8.4

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3 years ago
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My small brain is collapsing because of this question please help
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Answer:

  • Option A

Step-by-step explanation:

  • 4 > - 3, correct as 4 is to the right of - 3
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2 years ago
Write an equation to represent the following description. The difference of seven times a number and 15 is 41.
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3 years ago
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Using the two-way table, what percentage of the students that do not like camping like traveling out of state? Round to the
Afina-wow [57]

Answer:

In Grade 8, 17% of students like running.

Step-by-step explanation:

Let's do process of elimination.

For the first choice, we have that In Grade 8, 14 students liked swimming. This is wrong because based on the two-way frequency table, we are dealing with decimals, which can written as percentages. Also, you can't have 0.14 of a person.

Therefore, the first choice is incorrect.

Now for the third choice. The statement is that in Grade 9, 31 percent of students liked volleyball. Okay, so we have a percentage this time. That is a good thing, but we have to know what this percentage means. This answer is incorrect because 31 percent goes with the column of running, not volleyball. It would also be a marginal frequency as well. The 31 percent actually means that 31 percent of all students in both grades liked running. In other words, a total of 31 percent of students in both 8th and 9th grade liked running.

Therefore, the third choice is incorrect.

For the last choice. The statement is 22 students like volleyball. Just like the first choice, we are dealing with percentages, not people.

Therefore, the last choice is incorrect.

Now for the second choice. We are given that in Grade 8, 17 percent of students liked running. We have a percentage, so that is good. This choice is correct because if you were to go to Grade 8 and running. Draw some lines down. You do get to 17 percent. This 17 percent means that 17 percent of students did actually like running. It also means that out of all 8th graders, 17 percent enjoyed running.

Therefore, the second choice is correct.

Hope this helps! I hope you enjoy the rest of your day.

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3 years ago
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