Testing claims about Proportions. In Exercises 9 32, test the given claim. Ident

Question

Testing claims about Proportions. In Exercises 9 32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution (as in Part 1 of described this section). 9. Mendelian Genetics When Mendel conducted his famous genetics experiments with TI peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Use a 0.01 significance level to test Mendel's claim that under the same circumstances, 25% of offspring peas will be yellow

Explanation / Answer

Q-9

Part-a

Null hypothesis H0: p=0.25

Alternative hypothesis Ha: p0.25

Part-b

Sample size=428+152=580

Sample proportion phat =152/580=0.26

Test statistic Z=(phat-0.25)/sqrt(0.25*(1-0.25)/n)

=(0.26-0.25)/sqrt(0.25*(1-0.25)/580)

=0.5562

Two tailed p-value=0.5781 using excel function =2*NORMSDIST(-0.5562)

Asp-value>0.05, we fail reject the null hypothesis

Hence we conclude that the 25% of the offspring’s peas will be yellow

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