1. Develop a case problem complete with unique (i) datasets, (ii) problem statement, and (i) solution that follows the 5-step solution process for each of the following topics : g. Small Sample Tests of Proportions h. Large Sample Tests of Proportions i. Tests Concerning Two Proportions

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i) Datasets:  x  =  30  n  =  50ii) Problem statement:A recent research states that Newborn babies are more likely to be boys than girls. A random sample found 30 boys were born among 50 newborn children. Conduct the hypothesis test to validate the researchers claim that the birth of boys is more common than the birth of girls in the entire population? Use significance level,   α  =  0.05.Null hypothesis:       H    0    :  P  =  0.50Alternative hypothesis:       H    A    :  P  &amp;gt;  0.50The significance level is 0.05 and the test method is one-proportion z-test. Use the sample data to calculate the standard error (SE)and the z-score test statistic (z).   S  .  D  =  P  (  1  −  P  )  n  =  0.50  (  1  −  0.50  )  50  =  0.07071  z  =      p          −      p        p  (  1  −  p  )  n  =  0.60  −  0.500.07071  =  1.41423  ≈  1.41Since we have a one tailed test, the P-value is the probability that the z-score is greater than 1.41.  P-value   =  P  (  z  &amp;gt;  1.41  )P-value   =  1  −  P  (  z  &amp;lt;  1.41  )P-value   =  1  −  0.9207P-value   =  0.0793Since the P-value (0.0793) is greater than the significance level (0.05), we failed to reject the null hypothesis.

Develop a case problem complete with unique (i) datasets, (ii) problem statement, and (i) solution

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