Answer:Given:The sample proportion $ (\hat{p}) = 0.69 $The sample size $ (n) = 115 $The confidence interval level $ = 95\% $ Solution:The significance level $ (\alpha) : $$ \alpha = 1 – 0.95 $ $ = 0.05 $ The…
Answer:Given:Favorable Cases $(x)=15$ Sample Size $(n)=35$ Confidence Interval Level $= 95\%$ Solution:The Sample Proportion $(\hat{p}):$$\hat{p} = \frac{15}{35} = 0.4286$ The Significance Level $(\alpha):$$\alpha = 1 – 0.95 = 0.05$ The critical value $(z_c):$$z_c = Z_{\alpha/2} = Z_{0.05/2} = 1.96$ The…
Answer:Given:Favorable Cases $(x)=20$ Sample Size $(n)=45$ Confidence Interval Level $= 95\%$ Solution:The Sample Proportion $(\hat{p}):$$\hat{p} = \frac{20}{45} = 0.4444$ The Significance Level $(\alpha):$$\alpha = 1 – 0.95 = 0.05$ The critical value $(z_c):$$z_c = Z_{\alpha/2} = Z_{0.05/2} = 1.96$ The…
Answer:Given:Favorable Cases $(x)=25$ Sample Size $(n)=60$ Confidence Interval Level $= 95\%$ Solution:The Sample Proportion $(\hat{p}):$$\hat{p} = \frac{25}{60} = 0.4167$ The Significance Level $(\alpha):$$\alpha = 1 – 0.95 = 0.05$ The critical value $(z_c):$$z_c = Z_{\alpha/2} = Z_{0.05/2} = 1.96$ The…
Answer:Given:Favorable Cases $(x)=12$ Sample Size $(n)=30$ Confidence Interval Level $= 95\%$ Solution:The Sample Proportion $(\hat{p}):$$\hat{p} = \frac{12}{30} = 0.4$ The Significance Level $(\alpha):$$\alpha = 1 – 0.95 = 0.05$ The critical value $(z_c):$$z_c = Z_{\alpha/2} = Z_{0.05/2} = 1.96$ The…
Answer:Given:Favorable Cases $(x)=22$ Sample Size $(n)=50$ Confidence Interval Level $= 95\%$ Solution:The Sample Proportion $(\hat{p}):$$\hat{p} = \frac{22}{50} = 0.44$ The Significance Level $(\alpha):$$\alpha = 1 – 0.95 = 0.05$ The critical value $(z_c):$$z_c = Z_{\alpha/2} = Z_{0.05/2} = 1.96$ The…
Answer:Given:Favorable Cases $(x)=18$ Sample Size $(n)=45$ Confidence Interval Level $ = 95% $ Solution:The Sample Proportion $(p\hat):$$ p\hat = \frac{18}{45} = 0.4 $ The Significance Level $(\alpha):$$ \alpha = 1 – 0.95 = 0.05 $ The critical value $(z_c):$$ z_c…