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maria [59]
3 years ago
6

In a food preference experiment, 80 lizards were given the opportunity to choose to eat one of three different species of insect

s. The results showed that 33 of the lizards chose species A, 12 chose species B, and 35 chose species C. They conducted a Chi-squared analysis to test for equal preference. What are the Null and Alternate hypothesis for this test
Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

H0 : The variables are independent

H1 : The variables are not independent

Step-by-step explanation:

In a Chisquare test ; The null hypothesis is used to lay claim that the variables are independent, that is no relationship exists between the categorical variables in the population while the alternative hypothesis negates the null thus claiming that the variables aren't independent.

The null hypothesis, H0 : The variables are independent, A = B = C

The alternative hypothesis ; H1 : The variables are not independent, A ≠ B ≠ C

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Answer:

The general rule for the nth term of this sequence will be:

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Step-by-step explanation:

Given the sequence

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An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

a_n=a_1+\left(n-1\right)d

substituting a₁ = 12a, d = 3a

a_n=12a+\left(n-1\right)3a

     =12a+3na-3a

     =3na+9a

Therefore, the general rule for the nth term of this sequence will be:

a_n=3na+9a

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