What is 2 + 2? I have forgotten the answer to this incredibly complex and difficult question. Only the most brainly and genius o
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Answer:
So the p value is a very low value and using any significance level for given always
so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the two means are significantly different at 5%
Step-by-step explanation:
Data given and notation
represent the mean for the sample 1
represent the mean for the sample 2
represent the sample standard deviation for the sample 1
represent the sample standard deviation for the sample 2
sample size for the group 1
sample size for the group 2
t would represent the statistic (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to check if the mean are different , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the samples both are higher than 30 and the population deviations are not given, so for this case is better apply a t test to compare means, and the statistic is given by:
(1)
t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Calculate the statistic
We can replace in formula (1) the results obtained like this:
Statistical decision
The first step is calculate the degrees of freedom, on this case:
Since is a bilateral test the p value would be:
So the p value is a very low value and using any significance level for given always
so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the two means are significantly different at 5%
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Step-by-step explanation:
From the question we are told that
The first sample size is
The number that tested positive is
The second sample size is
The number that tested positive is
The level of significance is
Generally the first sample proportion is mathematically represented as
=>
=>
Generally the second sample proportion is mathematically represented as
=>
=>
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented
=>
=>
From the z table the area under the normal curve to the right corresponding to 1.56 is
Generally the p-value is mathematically represented as
=>
=>
From the value obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife