I am trying to figure out what type of statistical test to use to analyse my dat

Question

I am trying to figure out what type of statistical test to use to analyse my data from an independent experiment. we tested if female bean beatles prefered a used bean to lay eggs on or a new clean bean so we placed one female with both type to choose from. we collected how many eggs new eggs were layed on each and I have calculated the average for both types. I was thinking a t-test but i'm not sure if that would be the right type to see if the results were significant. what would be the right type of test to do and if there is a good link for an online calculator. Now I just asked this and got answer about t-test could work, but there is different types of t-test so which one is right one ? they also mentioned a chi squ test but we didn't have expected value so maybe if t-test will work please follow up on the type of one .

Explanation / Answer

Solution: We can use Two sample t-test.

I am giving one sample question for two sample test.

Mean for used = Used

Mean for used = New

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis:Used< New

Alternative hypothesis: Used > New

Note that these hypotheses constitute a one-tailed test.

Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a two-sample t-test of the null hypothesis.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

SE = sqrt[(s12/n1) + (s22/n2)]

DF = (s12/n1 + s22/n2)2 / { [ (s12 / n1)2 / (n1 - 1) ] + [ (s22 / n2)2 / (n2 - 1) ] }

t = [ (x1 - x2) - d ] / SE, x1 - x2 = difference betweeen mean of samples, d = 0

where s1 is the standard deviation of sample 1, s2 is the standard deviation of sample 2, n1 is the size of sample 1, n2 is the size of sample 2, x1 is the mean of sample 1, x2 is the mean of sample 2, d is the hypothesized difference between population means, and SE is the standard error.

We use the t Distribution Calculator to find P(t < T).

Therefore, we find the P-value in this analysis.

Interpret results. If P-value is greater than the significance level (0.05), we have to reject the null hypothesis.

From this we can conclude that female bean beatles prefered a used bean to lay eggs on or a new clean bean.

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