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Vlad1618 [11]
3 years ago
11

during anelection. 40% voted for jennifer and 60%voted for kevin if 300 students voted how may more voted for kevin

Mathematics
1 answer:
tigry1 [53]3 years ago
8 0
Multiply 300 by 0.6 and 0.4; when multiplying by 0.6 you'll get the 60% that voted for Kevin; 300 x 0.6= 180, 180 students voted for Kevin
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Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records, and compani
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Answer:

t=\frac{17.8-19.4}{\frac{5.4}{\sqrt{36}}}=-1.78  

p_v =2*P(t_{(35)}  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean P/E ratio of all socially conscious stocks it's not significantly different from the mean P/E ratio of the S&P Stock Index (19.4) at 5% of signficance.  

Step-by-step explanation:

1) Data given and notation  

\bar X=17.8 represent the P/E ratio sample mean  

s=5.4 represent the sample standard deviation  

n=36 sample size  

\mu_o =19.4 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

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

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean P/E ratio of all socially conscious stocks is different (either way) from the mean P/E ratio of the S&P Stock Index (19.4) :  

Null hypothesis:\mu =19.4  

Alternative hypothesis:\mu \neq 19.4  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{17.8-19.4}{\frac{5.4}{\sqrt{36}}}=-1.78  

4) P-value  

First we need to calculate the degrees of freedom given by:

df=n-1=36-1=35

Since is a two-sided test the p value would be:  

p_v =2*P(t_{(35)}  

5) Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean P/E ratio of all socially conscious stocks it's not significantly different from the mean P/E ratio of the S&P Stock Index (19.4) at 5% of signficance.  

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Plz answer will give brainliest
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Given quadratic equationx^2+6x+6=0
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