What are the correct null and alternative hypotheses? What is the test statistic

Question

What are the correct null and alternative hypotheses?

What is the test statistic?

What is the critical value?

What is the correct conclusion?

What is the p-value?

What does the p-value mean?

An article reported on the proportion of fouls called during a championship basketball series that were disputed by the players. The article indicated that players on team A disputed 60 of 123 fouls called on them during the first five games. The other team, team B, disputed 43 of 115 fouls called against them during these same games. Complete parts a and b below. a. Using = 0.025, perform a chi-square test to determine if the proportion of disputed foul calls differs between these two teams What are the correct null and alternative hypotheses? A. Ho:PA-Ps H1: PA PB

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 0

Hypothesis test results:

Hence,

Null and Alternative hypotheses: Option B is correct.

Test statistic = 1.772

Critical values = -2.241, 2.241

Conclusion: Since test statistic does not fall in the rejection region (Falls between the critical values), we do not reject Ho.

p - Value = 0.0764

Meaning of p - Value: p - Value is the probability of obtaining the difference in proportion as extreme as the one in the sample assuming that there is no difference in population proportions.

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 60 123 43 115 0.11389183 0.064268112 1.772136 0.0764

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