pany records indicate that at most 45% of employees commute to work using ect this is incorrect, so you sample 65 random employees and find that 35 of portation to work. State the null and alternative hypotheses of this test. Hypothesis (Ho): rnative Hypothesis (HA): P> psv 0.4 0 Or 0.4✔ O st our hypothesis, we will assume that p 0.45 0 e success-failure condition of the Central Limit Theorem satisfied? Yes. Both np and n(1 − p) are > 10. O No. Either np < 10 or n(1 - p) < 10. , according to the Central Limit Theorem, the distribution of sample proport al with mean 0.539 x and standard deviation 0.062 x -value for this hypothesis test is 0.075 0 rt answer accurate to four decimal places. e result considered significant at the a = 0.05 level of significance? OYes. The result is significant because the p-value is < a. O 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.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Company records indicate that at most 45% of employees commute to work using public transportation. You
suspect this is incorrect, so you sample 65 random employees and find that 35 of them take public
transportation to work. State the null and alternative hypotheses of this test.
Null Hypothesis (Ho):
Alternative Hypothesis (HA): P
ps v
0.4
0.4✓
To test our hypothesis, we will assume that p = 0.45 0
Is the success-failure condition of the Central Limit Theorem satisfied?
Yes. Both np and n(1 − p) are ≥ 10.
O No. Either np < 10 or n(1 − p) < 10.
or ✓
Then, according to the Central Limit Theorem, the distribution of sample proportions is approximately
normal
✔ with mean 0.539 x and standard deviation 0.062 X
OF ✓
We co
The p-value for this hypothesis test is 0.075✔ or.
Report answer accurate to four decimal places.
Is the result considered significant at the a = 0.05 level of significance?
O Yes. The result is significant because the p-value is < a.
No. The result is not significant because the p-value is > a.
No. The result is not significant because the p-value is < a.
Yes. The result is significant because the p-value is > a.
that
We cannot dispute, with 95% confidence, the claim that at most 45% of employees commute to work
using public transportation.
O Our evidence suggests, with 95% confidence, that more than 45% of employees commute to work
using public transportation.
Transcribed Image Text:Company records indicate that at most 45% of employees commute to work using public transportation. You suspect this is incorrect, so you sample 65 random employees and find that 35 of them take public transportation to work. State the null and alternative hypotheses of this test. Null Hypothesis (Ho): Alternative Hypothesis (HA): P ps v 0.4 0.4✓ To test our hypothesis, we will assume that p = 0.45 0 Is the success-failure condition of the Central Limit Theorem satisfied? Yes. Both np and n(1 − p) are ≥ 10. O No. Either np < 10 or n(1 − p) < 10. or ✓ Then, according to the Central Limit Theorem, the distribution of sample proportions is approximately normal ✔ with mean 0.539 x and standard deviation 0.062 X OF ✓ We co The p-value for this hypothesis test is 0.075✔ or. Report answer accurate to four decimal places. Is the result considered significant at the a = 0.05 level of significance? O Yes. The result is significant because the p-value is < a. No. The result is not significant because the p-value is > a. No. The result is not significant because the p-value is < a. Yes. The result is significant because the p-value is > a. that We cannot dispute, with 95% confidence, the claim that at most 45% of employees commute to work using public transportation. O Our evidence suggests, with 95% confidence, that more than 45% of employees commute to work using public transportation.
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