According to he most recent census 16.3% ofu residen s are of Hispanic ori in. O

Question

According to he most recent census 16.3% ofu residen s are of Hispanic ori in. One coun supervisor believes her county has a smaller percentage han what was reported in the census. A survey of 16l individuals in the county was conducted aud ch person was asked o report their ori îi t was ound that l 1.13% oft ose surveyed identhed as being of Hispanic ori in es the appropriate hypotheses using a $121nficance level of 0.05 - Ho: Select an answer? H: Select ari answer decision rule: rejeet Ho if probability Test Statistic: z- probability- Decision: Select an answer Note: round the z-score to two decimal places carry at least four decimal places throughout all of your calculations) Note: round the probability to four decimal places) Conclusion: At the 0.05 eve ther elect an ans e Ignificant evidence to conclude the percentage ofres de ts in this county who are fHispanic on m is Select an ans 16.3%.

Explanation / Answer

a)
Ho: p = 0.163
Ha: p < 0.163

b)
alpha= 0.05
reject Ho if p-value < alpha

c)
z = (p^ - p)/sqrt(pq/n)
p^ = 0.1113
z = (0.1113-0.163)/sqrt(0.163 * 0.837 / 161)
= -1.77601
d)
p-value = P(Z < -1.77601) = 0.037900
e)
since
p-value < 0.05
we reject the null hypothesis
f)
at 0.05 level, there is significant evidence

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