the ration of the number of boy campers to the number of girl campers was 8:7. if there were a total of 195 campers, how many gi
1 answer:
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Answer:
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of germinated seeds is significantly lower than 0.9 or 90%
Step-by-step explanation:
Data given and notation
n=15 represent the random sample taken
X=7 represent the number of seeds germinated
estimated proportion of seeds germinated
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
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 true proportion of germinated seeds is less than 0.9 or 90%.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
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.
The significance level assumed is . The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of germinated seeds is significantly lower than 0.9 or 90%
Answer:
and
Step-by-step explanation:
It is given that the normal body temperature is .
A temperature 'x' that differs from normal by at least is considered unhealthy. So the inequality to represent such situation is,
It can be further written as,
and
and
and
So the inequality to represent such condition is and
.
Answer:
Step-by-step explanation:
The given formula is:
c=5d+4w/2w
We need to find d.
Multiply 2w on both sides, we get
c x 2w= 5d+4w/2w x 2w
2cw=5d+4w
Adding -4w on both sides, we get
2cw-4w=5d+4w-4w.
2cw-4w=5d
2w(c-2)=5d
Dividing by 5, we get
2w(c-2)/5 = 5d/5
2w(c-2)/5 = d
Hence the required formula with subject d is