A Pandom sample of 70 observations produced a sample proportion equal to 0.37. Find the critical and observed values of z for the following test of hypotheses using a = 0.02. Họ:p= 0.30 versus H1: p # 0.30.
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.
![A random sample of 470 observations produced a sample proportion equal to 0.37. Find the critical and observed values of z for the following test of hypotheses using \( \alpha = 0.02 \).
\( H_0: p = 0.30 \) versus \( H_1: p \neq 0.30 \).
Round your answers to two decimal places.
- \( z_{\text{critical left}} = \) [input box]
- \( z_{\text{critical right}} = \) [input box]
- \( z_{\text{observed}} = \) [input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1307cdd6-2d73-4aa8-b029-858a2ce916c2%2F10d0dcc7-bfe2-40e1-890a-ea327d0ffab3%2Fw47rxbi_processed.jpeg&w=3840&q=75)
![A random sample of 420 observations produced a sample proportion equal to 0.37. Find the critical and observed values of z for the following test of hypotheses using \(\alpha = 0.025\).
\(H_0: p = 0.30\) versus \(H_1: p > 0.30\).
Round your answers to two decimal places.
- \(z_{critical} =\) [Input Box]
- \(z_{observed} =\) [Input Box]
(Note: There are no graphs or diagrams in this image; it consists only of text instructions and input boxes.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1307cdd6-2d73-4aa8-b029-858a2ce916c2%2F10d0dcc7-bfe2-40e1-890a-ea327d0ffab3%2Fl61gqqo_processed.jpeg&w=3840&q=75)
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