OPN. The he worldwid ooVoo Bank of America-.- gj U Round all intermediate calcul

Question

OPN. The he worldwid ooVoo Bank of America-.- gj U Round all intermediate calculations to at least 4 decimal places.) A politician claims that he is supported by a clear majority of voters. In a recent survey, 21 out of 40 randomly selected voters indicated that they would vote for the politician. Is the politician's claim justifiable at a 1% level of significance? Use Table 1. a. Select the null and the alternative hypotheses. O Ho: p:0.50, HA: p # 0.50 OHo: ps 0.50; HA: p> 0.50 OHo: p2 0.50: HA: p

Explanation / Answer

a)
Below are the null and alternate hypothesis
H0: p <= 0.50; H1: p > 0.5

b)
Sample proportion,
pcap = 21/40 = 0.525

c)
Test statistics,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.525 - 0.5)/sqrt(0.5*(1-0.5)/40)
z = 0.3162

d)
p-value = 0.3759
p-value >= 0.1

e)
Do not reject H0; the politicians claim are not supported by the data

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