What is 4/9 in simplest form

A report summarizes a survey of people in two independent random samples. One sample consisted of 700 young adults (age 19 to 35

Setler [38]

Answer:

$z=\frac{0.41-0.43}{\sqrt{\frac{0.41(1-0.41)}{700}+\frac{0.43(1-0.43)}{200}}}=-0.51$

$p_v =2*P(Z$

And we can use the following R code to find it: "2*pnorm(-0.505)"

The p value is a very high value and using any significance given $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions are not significantly different.

Step-by-step explanation:

1) Data given and notation

$n_{1}=700$ sample of young adults (age 19 to 35)

$n_{2}=200$ sample of children age 19 to 35

$p_{1}=0.41$ represent the proportion of young adults said they thought parents would provide financial support

$p_{2}=0.43$ represent the proportion of parents said they would provide support

$\alpha=0.05$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion for the two samples are different , the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\frac{p_1 (1-p_1)}{n_{1}}+\frac{p_2 (1-p_2)}{n_{2}}}}$ (1)

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.41-0.43}{\sqrt{\frac{0.41(1-0.41)}{700}+\frac{0.43(1-0.43)}{200}}}=-0.51$

4) Statistical decision

We can calculate the p value for this test.

Since is a two tailed test the p value would be:

$p_v =2*P(Z$

And we can use the following R code to find it: "2*pnorm(-0.505)"

The p value is a very high value and using any significance given $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions are not significantly different.

4 0

3 years ago

You are making luan arrangements for a birthday party. There are 16 white balloons and 24 red balloons each arrangement must be

valina [46]

Answer:

8 arrangement

Step-by-step explanation:

2 white balloons and 3 red balloons for every arrangement

5 0

3 years ago

James's garden has a length of 12 1/4 feet and a width of 9 2/3 feet. What length of fencing will he need to surround his garden

Lina20 [59]