For the following hypotheses tests, please do the following: Perform a complete

Question

For the following hypotheses tests, please do the following: Perform a complete hypothesis test using 95% confidence (Don't forget to include all the pieces) Write a brief summary of your analysis that would be suitable for an email to your boss. Here is an example: "We evaluated a random sample of 41 whole chickens received from factory A and 67 whole chickens received from factory B to determine if the whole chickens from factory A had higher quality scores. The chickens from factory A had an average quality score of 82 with a standard deviation of 8. The chickens from factory B had an average quality score of 77 with a standard deviation of 9. We used a 2 sample t-test and the results indicate that with 95% confidence we can conclude that factory A produces whole chickens which have higher average quality scores." A random sample of 320 new students were asked if they favored stricter gun control laws. Of those sampled, 160 favored stricter gun control laws. Do we have enough evidence to conclude that less than 50% favor stricter gun control laws? Use 95% confidence.

Explanation / Answer

test results

null hypothesis

Alternative Hypothesis:
p > p(hyp)

Alternative Hypothesis:
p < p(hyp)

Sample proportion: 0.5
Test Statistic, z: 0.0000
Critical z:        -1.6449
P-Value:           0.5000

90% Confidence interval:
0.454025 < p < 0.545975

p value> alpha(0.05)

failed to reject null hypothesis

there is no enough evidence to conclude that less than 50% favour stricter gun control laws

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