Mathematics, 18.12.2019 23:31 airiyannag0113

The test statistic of z equals=2.17 is obtained when testing the claim that pnot equals≠0.2170.217. a. identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. find the p-value. c. using a significance level of alphaαequals=0.010.01, should we reject upper h 0h0 or should we fail to reject upper h 0h0?

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Answer from: any71

a) Two tailed test

Null hypothesis: p=0.217

Alternative hypothesis: $p \neq 0.217$

b) p_v =2*P(Z2.17)=0.03

c) If we compare the p value obtained and the significance level given $\alpha=0.01$ we have $p_v\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We Fail to reject the null hypothesis H0

Step-by-step explanation:

Data given and notation

n represent the random sample taken

X represent the outcomes desired in the sample

$\hat p$ estimated proportion of interest

p_o is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is 0.217 or no:

a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.

Two tailed test

Null hypothesis: p=0.217

Alternative hypothesis: $p \neq 0.217$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value p_o .

Calculate the statistic

For this case the calculated value is given z =2.17

Statistical decision

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.

b. Find the P-value

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

p_v =2*P(Z2.17)=0.03

c. Using a significance level of alphaαequals=0.01, should we reject Upper H 0 or should we fail to reject Upper H 0?

If we compare the p value obtained and the significance level given $\alpha=0.01$ we have $p_v\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We Fail to reject the null hypothesis H0

Answer from: Quest

2 x t divided by n

step-by-step explanation:

Answer from: Quest

Abit confused about what you mean, but i think you might be referring to slope intercept form: y = mx + bin that case b, or the y intercept is already given.(0,-1)find the slope by using the formulay2 - y1/x2 - x1the final slope will be 4/2, equivalent to 2.now your equation should look like thisy = 4/2x -1sorry if this didn’t you out!