A genetic experiment involving peas yielded one sample of offspring consisting of 450 green peas and 175 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 25% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesi: test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. What are the null and alternative hypotheses? O A. Ho: p= 0.25 H,:p>0.25 о В. Но: р3D0.25 H,:p#0.25 Ос. Но: р#0.25 O D. Ho: p+0.25 H1: p<0.25 H1:p>0.25 ОЕ. Но: р#0.25 H1:p=0.25 O F. Ho:p= 0.25 H1: p<0.25 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value = (Round to four decimal places as needed.) What is the conclusion about the null hypothesis? O A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. B. Reject the null hypothesis because the P-value is greater than the significance level, a. OC. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. O D. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. What is the final conclusion? O A. There is sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow. O B. There is sufficient evidence to support the claim that less than 25% of offspring peas will be yellow. OC. There is not sufficient evidence to warrant rejection of the claim that 25% of offspring peas will be yellow. D. There is not sufficient evidence to support the claim that less than 25% of offspring peas will be yellow.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Please help me find the following
Let p is defined as the proportion of offspring peas will be yellow.
The claim of the test is 25% of offspring peas will be yellow.
The hypothesis is,
Null hypothesis:
Alternative hypothesis:
The proportion of offspring peas will be yellow is,
The test statistic is,
Thus, the test statistic is 1.73.
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