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Jlenok [28]
3 years ago
12

(3 points) A survey of 15651565 people who took trips revealed that 178178 of them included a visit to a theme park. Based on th

ose survery results, a management consultant claims that less than 1212 % of trips include a theme park visit. Test this claim using the α=0.05α=0.05 significance level.
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
3 0

Answer:

We fail to reject the null hypothesis at 0.05 significance level. We cannot say that less than 12% of trips include a theme park visit.  

Step-by-step explanation:

let p be the proportion of trips included a visit to a theme park.

H_{0}: p=0.12

H_{a}: p<0.12

To test, we need to calculate test statistic of the sample proportion as:

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

  • p(s) is the sample proportion of trips included visit to a theme park (\frac{178}{1565}=0.1137
  • p is the proportion assumed under null hypothesis. (0.12)
  • N is the sample size (1565)

Using the numbers, z=\frac{0.1137-0.12}{\sqrt{\frac{0.12*0.88}{1565}}}

= −0.767 and p(z) is ≈0.222

Since 0.222 > 0.05 we fail to reject the null hypothesis.

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The width of a kitchen is 4.2 metres.
Zolol [24]

Answer:

11,67

Step-by-step explanation:

In the order to get the answer, we need to get the right measurements. That is turn the cm into m or 60 cm to 0,6 m because 1 cm is 0.01m. How many cupboards in a kitchen that is 4,2 m long? To get the answer just divide 4,2 m with 0,6 m, and that is 11,67 cupboards in a 4,2 m long kitchen.

3 0
2 years ago
Read 2 more answers
There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 peop
Delvig [45]

Answer:

\frac{11}{87}

Step-by-step explanation:

Total number of people = 130

Number of people who use the gym = 73

Number of people who use the pool = 62

Number of people who use the track = 58

Number of people who use the gym and the pool = 22

Number of people who use the pool and the track = 29

Number of people who use the gym and the track = 25

Number of people who use all three facilities = 11

Total number of people who use at least two facilities = 22 + 29 + 25 + 11 = 87

The probability that the randomly selected person uses all three facilities = number of those who use all three facilities ÷ total number of people who use at least two facilities.

==> 11 ÷ 87

==> \frac{11}{87}

3 0
3 years ago
A clinic took temperature readings of 250 flu patients over a weekend and discovered the temperature distribution to be Gaussian
yan [13]
<span>I get 0.26% for part A and 75% for part B. My work is in the attached document.</span>
Download pdf
3 0
3 years ago
Read 2 more answers
Regression analysis involving one dependent variable and more than one independent variable is known as a. linear regression. b.
Greeley [361]

Answer:

<h3>The Option B) Multiple regression is correct</h3><h3>Regression analysis involving one dependent variable and more than one independent variable is known as <u>multiple regression.</u></h3>

Step-by-step explanation:

Given that  regression analysis involving  one dependent variable and more than one independent variable

For : Regression analysis involving one dependent variable and more than one independent variable is known as <u>multiple regression</u>

  • In statistics, a linear regression is a linear relationship between a  dependent variable and one or more  independent variables.
  • In statistics for more than one independent variable and with one dependent variable in regression analysis , then the regression  is called as multiple regression.
  • Therefore Option B) Multiple regression is correct
<h3>Regression analysis involving  one dependent variable and more than one independent variable is known as <u>multiple  regression</u>.</h3>
7 0
3 years ago
jesse had a balance of 1200 on a credit card with an APR of 18.7% compounded monthly. About how much will he save in interest ov
igor_vitrenko [27]

Jesse saved about $85.77 in interest over the course of a year if he transfer from one credit card to another.

<h3>What is the interest accrued on savings?</h3>

The interest accrued on saving is the interest gained on saving or investment over a period of time.

ar

The amount of money saved in interest by Jesse over a period of 12 months provided that the transferred his balance to a credit card is calculated as follows:

Amount saved = \mathbf{P_x(1 + \dfrac{r}{P_x})^{12}-P_y(1 + \dfrac{r}{P_y})^{12}}

Amount saved = \mathbf{1200(1 + \dfrac{18.7}{1200})^{12} - 1200(1 + \dfrac{12.5}{1200})^{12}}

Amount saved = $85.768

Amount saved = $85.77

Learn more about interest accrued on a savings here:

brainly.com/question/1434515

#SPJ1

5 0
1 year ago
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