A random sample of 40 binomial trials resulted in 18 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the p̂ distribution? Explain. State the hypotheses. (b) Compute p̂ and the corresponding standardized sample test statistic. Find the P-value of the test statistic. (c) Do you reject or fail to reject H0?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A random sample of 40 binomial trials resulted in 18 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05.
(b) Compute p̂ and the corresponding standardized sample test statistic. Find the P-value of the test statistic.
(c) Do you reject or fail to reject H0?
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