Mathematics, 27.11.2019 01:31 geezelouise808

Use the given information to find the p-value. also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).

with h1: p > 0.554, the test statistic is z = 1.34.

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Answer from: student0724

Reject the null hypothesis p_v

Step-by-step explanation:

1) Data given and notation

n=not given, represent the random sample taken

$\hat p$ estimated proportion

p_o=0.554 is the value that we want to test

$\alpha=0.05$ represent the significance level

z=1.34 would represent the statistic

p_v represent the p value (variable of interest)

p= population proportion

2) Solution for the problem

The system of hypothesis on this case would be:

Null hypothesis: $p \leq 0.554$

Alternative hypothesis: p 0.554

We assume that the proportion follows a normal distribution.

This is a one tail upper test for the proportion of union membership.

The One-Sample Proportion Test is "used to assess whether a population proportion $\hat p$ is significantly (different,higher or less) from a hypothesized value p_o ".

Check for the assumptions that he sample must satisfy in order to apply the test

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough (They don't provide the value of n, but we can assume it)

The significance level is $\alpha=0.05$ , and since is a one proportion the statistic is given by this formula:

$z=\frac{\hat p- p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$

Where p_o represent the value that we want to test and $\hat p$ the sample proportion estimated.

On this case the statistic it's already calculated and is z=1.34.

Before continuing, it's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

Based on the alternative hypothesis the p value would be given by: p_v =P(z1.34)=1-P(z

Using the significance level assumed $\alpha=0.05$ we see that p_v so we have enough evidence at this significance level to reject the null hypothesis. And on this case makes sense the claim that the proportion analyzed is higher than 55.4%.

Answer from: Quest

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

Answer from: Quest

step-by-step explanation:

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Use the given information to find the p-value. also, use a 0.05 significance level and state the con...