For every football game there is a team that is expected to win by a certain number of points. In betting parlance, this is called the spread. If point spreads are accurate, we would expect about half of all games played to result in the favored team winning (beating the spread) and about half of all games to result in the team favored to not beat the spread. The accompanying data represent the results of 45 randomly selected games where a 0 indicates the favored team did not beat the spread and a 1 indicates the favored team beat the spread. Do the data suggest that sport books establish accurate spreads?

Full question attached

Answer and Explanation:

From the question,

Null hypothesis H0=0.5

Alternative hypothesis Ha≠0.5

Given that test statistic z = <p-p/√p(1-p)/n

<p is the sample proportion of favored teams= x/n = 25/45= 0.5556

p is the population proportion =0.50

n= population size/ number of games = 45

Z= 0.5556-0.50/√0.50(1-0.50)/45

= 0.5556-0.50/√0.50(0.50)/45

= 0.75

Two tailed test P-value from table given Z value 0.75

= 0.453

The p value is greater than level of significance 5%, 10% and so we don't reject null hypothesis. Also level of significance is not specified. Therefore option C is correct

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- "the crusades were a series of religious wars undertaken by the latin church. the first crusade arose after a call to arms in 1095 sermons by pope urban ii. the first crusade unleashed a wave of impassioned, pious catholic fury, which was of constantinople, the capital of the christian-controlled byzantine empire."

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the arab empire adopted the muslim religion as their main belief. arabs would influence the people from the territories they invaded towards islam (the muslim belief).

nevertheless, throughout the history of the arab empire, rulers brought intellectual individuals from other religions to their centers of learning. these other foreigners included jews, christians, greeks, persians, and indians.   these resulted in the adoption of important knowledge developed by these cultures by the arabic empire. for example, the works of aristotle were translated from greek to arab and indian scientists brought the numerical concept of "zero" to the arabs.

nowadays, 93% of the arab population is muslim, which at the same time is subdivided in sects including the sunni, zaini, alawi, shia. the remaining 7% is composed mainly of christians.