A random sample of 142 recent donations at a certain blood bank reveals that 70

Question

A random sample of 142 recent donations at a certain blood bank reveals that 70 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of.01. (Give z to 2 decimal places and P-value to 4 decimal places.) p-value = What would you conclude from this test? Reject the null hypothesis, there is significant evidence that the percentage of type A donations differs from 40%. Reject the null hypothesis, there is Not significant evidence that the percentage of type A donations differs from 40% Fail to reject the null hypothesis, there is significant evidence that the percentage of type A donations differs from 40% Fail to reject the null hypothesis, there is Not significant evidence that the percentage of type A donations differs from 40% Would your conclusion have been different if a significance level of.05 had been used? Yes No

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.4
HA : p 0.4

Hypothesis test results:

Hence,

z = 2.26

P - value = 0.0238

Conclusion: Option D is correct.

Yes, the conclusion would have been different at 0.05 level of significance.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 70 142 0.49295775 0.041111323 2.2611227 0.0238

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.