#16 The two-way table shows sample results and hypotheses are given for a test for a difference in the proportion saying yes between the two groups. Test H0 : p1=p2 vs Ha : p1>p2 using the results: Yes No Total Group 1 128 72 200 Group 2 55 45 100 Total 183 117 300 Find the value of the standardized z-test statistic and then use the standard normal distribution to find the p-value. Round your answers to three decimal places. test statistic = p-value = What is the conclusion using a 5% significance level? a) Reject H0. b) Do not 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.
#16
The two-way table shows sample results and hypotheses are given for a test for a difference in the proportion saying yes between the two groups.
Test H0 : p1=p2 vs Ha : p1>p2 using the results:
| Yes | No | Total | |
|---|---|---|---|
| Group 1 | 128 | 72 | 200 |
| Group 2 | 55 | 45 | 100 |
| Total | 183 | 117 | 300 |
Round your answers to three decimal places.
test statistic =
p-value =
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