In a simple random sample of size 78, there were 20 individuals in the category of interest. It is desired to test $H _ { 0 } : p = 0.51 \text { versus } H _ { 1 } : p < 0.51$
i). Compute the sample proportion $\hat { p }$ .
ii). It is desired to test H₀: p=0.51 versus H1: p>0.51 Compute the test statistic z.
iii). Do you reject H₀ at the 0.01 level?

Question

In a simple random sample of size 78, there were 20 individuals in the category of interest. It is desired to test

H _ { 0 } : p = 0.51 \text { versus } H _ { 1 } : p < 0.51

i). Compute the sample proportion

\hat { p }

.
ii). It is desired to test H₀: p=0.51 versus H1: p>0.51 Compute the test statistic z.
iii). Do you reject H₀ at the 0.01 level?

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The Answer of In a simple random sample of size 78, there were 20 individuals in the category of interest. It is desired to test $H _ { 0 } : p = 0.51 \text { versus } H _ { 1 } : p < 0.51$ i). Compute the sample proportion $\hat { p }$. ii). It is desired to test H₀: p=0.51 versus H1: p>0.51 Compute the test statistic z. iii). Do you reject H₀ at the 0.01 level?

In a Simple Random Sample of Size 78, There Were H0:p=0.51 versus H1:p<0.51H _ { 0 } : p = 0.51 \text { versus } H _ { 1 } : p < 0.51H0​:p=0.51 versus H1​:p<0.51

In a Simple Random Sample of Size 78, There Were $H _ { 0 } : p = 0.51 \text { versus } H _ { 1 } : p < 0.51$