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Ahat [919]
3 years ago
5

Assume that a cross is made between a heterozygous tall pea plant and a homozygous short pea plant. Fifty offspring are produced

in the following frequency:
30 = tall
20 = short
Null hypothesis: The deviations from a 1:1 ratio (25 tall and 25 short) are due to chance.
1. What is the Chi-square value associated with the appropriate test of significance?
2. How many degrees of freedom are associated with this test of significance?
Mathematics
1 answer:
Butoxors [25]3 years ago
7 0

Answer:

1) \chi^2 = \frac{(30-25)^2}{25} +\frac{(20-25)^2}{25} =1 +1 =2

2) df = c-1 = 2-1

Where c represent the number of categories c=2

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Assume the following dataset:

Tall =30 , Short =20

We need to conduct a chi square test in order to check the following hypothesis:

H0: The deviations from a 1:1 ratio (25 tall and 25 short) are due to chance.

H1: The deviations from a 1:1 ratio (25 tall and 25 short) are NOT due to chance.

Part 1

So then we know that the expected values would be 25 for each case

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

And if we replace we got:

\chi^2 = \frac{(30-25)^2}{25} +\frac{(20-25)^2}{25} =1 +1 =2

Part 2

For this case the degreed of freedom are given by:

df = c-1 = 2-1

Where c represent the number of categories c=2

And we can calculate the p value given by:

p_v = P(\chi^2_{1} >2)=0.157

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(2,1,TRUE)"

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nydimaria [60]

Answer:

P = 7.14%

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Step-by-step explanation:

Given;

Percentage of ipod owners Pi = 20%

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For age 30 or older;

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Percentage who don't have an ipod but belong to this group Pu = 100-35% = 65% of Pd

The percentage of those 30 years or older that own an ipod is;

P = Po/(Po+Pu) × 100%

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6 0
3 years ago
Read 2 more answers
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