neve through a cer marked as sp You've heard that at ist 65% of the email you You suspect this is incorrect, so you keep track of the emails you receive on that account for the next week. In that time, you received 57 emails and 29 of them were marked as spam. State the null and alternative hypotheses of this test. Null Hypothesis (Ho): P?V Alternative Hypothesis (HA): P ? ✓ To test our hypothesis, we will assume that p = Is the success-failure condition of the Central Limit Theorem satisfied?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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spam.
You've heard that at least 65% of the email you recieve through a certain email account is marked
You suspect this is incorrect, so you keep track of the emails you receive on that account for the next
week. In that time, you received 57 emails and 29 of them were marked as spam. State the null and
alternative hypotheses of this test.
Null Hypothesis (Ho):
Alternative Hypothesis (HA): p?
P? V
To test our hypothesis, we will assume that p =
Is the success-failure condition of the Central Limit Theorem satisfied?
O No. Either np < 10 or n(1-p) < 10.
Yes. Both np and n(1 - p) are ≥ 10.
Then, according to the Central Limit Theorem, the distribution of sample proportions is approximately
Select an answer with mean
and standard deviation
The p-value for this hypothesis test is
Report answer accurate to four decimal places.
Is the result considered significant at the a = 0.05 level of significance?
Yes. The result is significant because the p-value is ≥ a.
O Yes. The result is significant because the p-value is <a.
No. The result is not significant because the p-value is > a.
O No. The result is not significant because the p-value is <a.
We conclude that
O Our evidence suggests, with 95% confidence, that less than 65% of email received is marked as spam.
O We cannot dispute, with 95% confidence, the claim that at least 65% of email is marked as spam.
Transcribed Image Text:spam. You've heard that at least 65% of the email you recieve through a certain email account is marked You suspect this is incorrect, so you keep track of the emails you receive on that account for the next week. In that time, you received 57 emails and 29 of them were marked as spam. State the null and alternative hypotheses of this test. Null Hypothesis (Ho): Alternative Hypothesis (HA): p? P? V To test our hypothesis, we will assume that p = Is the success-failure condition of the Central Limit Theorem satisfied? O No. Either np < 10 or n(1-p) < 10. Yes. Both np and n(1 - p) are ≥ 10. Then, according to the Central Limit Theorem, the distribution of sample proportions is approximately Select an answer with mean and standard deviation The p-value for this hypothesis test is Report answer accurate to four decimal places. Is the result considered significant at the a = 0.05 level of significance? Yes. The result is significant because the p-value is ≥ a. O Yes. The result is significant because the p-value is <a. No. The result is not significant because the p-value is > a. O No. The result is not significant because the p-value is <a. We conclude that O Our evidence suggests, with 95% confidence, that less than 65% of email received is marked as spam. O We cannot dispute, with 95% confidence, the claim that at least 65% of email is marked as spam.
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