![aidy3259](/avatars/31275.jpg)
aidy3259
27.05.2020 •
Mathematics
In a previous poll, 40% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 456 of 1194 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the alpha equals 0.01 significance level.
Solved
Show answers
More tips
- C Computers and Internet Step-by-Step Guide on How to Download Music to Your iPhone...
- A Animals and plants Unraveling the Mystery of Loch Ness: What Does the Loch Ness Monster Look Like?...
- L Leisure and Entertainment Should You Buy a Ceramic Knife?...
- C Computers and Internet How to easily and quickly disable Firebug in Gmail and Google Docs...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics . A teacher assistant has a gross pay of $467.99. The deductions are $98.65, $14.77, $3.67, $0.87, and $2.00.What is the teacher assistant s net pay?...
- M Mathematics How can you prove that a constructed line is parallel to a given line? Assume that the transversal line is not perpendicular to the other lines. Show that same side exterior angles...
- M Mathematics The perimeter of an equilateral triangle with a side length of 12 units is:...
- M Mathematics Band uniforms cost 45 dollars each how many can i buy for 1000 dollars...
- M Mathematics Trigonometry.... plzzz helllppp...
- M Mathematics ecide whether or not the conditions and assumptions for inference with a t-test are satisfied. Explain your answer. A group of researchers want to determine the mean annual household...
- M Mathematics You are fencing a rectangular puppy kennel with 25 ft of fence. The side of the kennel against your house does not need a fence. This side is 9 ft long. Find the dimensions of...
- M Mathematics How much time will it take Jenny to bike 15 miles if she bikes at a speed of 6 mph?...
- M Mathematics Complete the table for the given rule.Rule: y=5x...
- M Mathematics What is the solution to the following equation? 5(2x - 6) + 20 = 10 09 05 03 O2...
Ответ:
We conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remained same.
Step-by-step explanation:
We are given that in a previous poll, 40% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week.
Suppose that, in a more recent poll, 456 of 1194 adults with children under the age of 18 reported that their family ate dinner together seven nights a week.
Let p = proportion of families with children under the age of 18 who eat dinner together seven nights a week.
SO, Null Hypothesis,
: p
40% {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remained same}
Alternate Hypothesis,
: p < 40% {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased}
The test statistics that would be used here One-sample z test for proportions;
T.S. =
~ N(0,1)
where,
= sample proportion of families with children under the age of 18 who eat dinner together seven nights a week =
= 0.38
n = sample of adults = 1194
So, the test statistics =![\frac{0.38-0.40}{\sqrt{\frac{0.38(1-0.38)}{1194} } }](/tpl/images/0667/0540/b0068.png)
= -1.424
The value of z test statistics is -1.424.
Now, at 0.01 significance level the z table gives critical value of -2.326 for left-tailed test.
Since our test statistic is more than the critical value of z as -1.424 > -2.326, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remained same.
Ответ: