women athletes at the a certain university have a long-term graduation rateof 67

Question

women athletes at the a certain university have a long-term graduation rateof 67%. Over the past several years, a random samle of 41 women 'metes at graduated. Does this nicate that the population proportion of women athletes who graduate from the unversity-now less than 67%, Use a 1% a random sample of 41 women athletes at the school showed that 23 eventualy level of significance. (a) What is the level of signiicance? 04 State the null and aliternate hypotheses 0 H : p 0.67; ms,p>0.67 (D) What sampling dstributien wil you we? The standard normal, since np>S and ng s o The Student's t, since np>5 and nq5 O The standard nermal, since np

Explanation / Answer

1st - Image: The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.67
HA : p < 0.67

Hypothesis test results:

Hence,

Sample test statistic = -1.48

P - value = 0.0688

2nd - Image: The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.092
HA : p > 0.092

Hypothesis test results:

Hence,

Sample test statistic = 2.46

P - value = 0.0069

3rd - Image: The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.12
HA : p < 0.12

Hypothesis test results:

Hence,

Sample test statistic = -1.85

P - value = 0.0323

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 23 41 0.56097561 0.073434889 -1.4846402 0.0688

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