A random sample of organisms from a particular species is obtained, and the numb

Question

A random sample of organisms from a particular species is obtained, and the number of males and the number of females in the sample are counted. A biologist wishes to investigate whether the data obtained provide convincing evidence that the proportion of males in the species as a whole is different from 0.5. The biologist uses a one-proportion z-test for this purpose. Which of the following inference procedures could also be used to investigate the biologist's question? You may assume that the conditions for inference are met.) (A) Two-sample t-test for the difference of two means (B) Paired t-test for the difference of two means (C) Two-sample z-test for the difference of two proportions (D) Chi-square test for goodness of fit (E) Chi-square test for homogeneity

Explanation / Answer

Attempting 3rd question:

We have been given params of normal distribution:

Standard deviation = 4.3 months
n = 10

Now we seek the answer to the following:
P(X<=1)
= P(Z<= |1/(4.3/sqrt(10)|)

From the Z tables we convert z to p value:

= P(-.735<Z<=.735 )

= 2*(.7704-.5)

= .538

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