Answer:
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
Step-by-step explanation:
Here,
The null hypothesis is p = 0.73
Alternate hypothesis is p> 0.73
The level of significance = 0.10 or 10%
Sample size = 23
Sample proportion = 19/23 = 0.826
Z test statistics
= (p’-p)/Sqrt ((p(1-p)/n))
Substituting the given values, we get –
Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037
Thus, the P values for Z>1.037
= 1- P(Z less than or equal to 1.037)
= 1- 0.8501
= 0.150
P-value is greater than the level of significance
We will accept the null hypothesis
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%