4.32 True or false:  Determine if the following statements are true or false, and explain your reasoning. If false, state how it could be corrected. (a) If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval. true   false (b) Decreasing the significance level (α ) will increase the probability of making a Type 1 Error. false   true (c) Suppose the null hypothesis is μ = 5 and we fail to reject Ho. Under this scenario, the true population mean is 5. true   false

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4.32 True or false:  Determine if the following statements are true or false, and explain your reasoning. If false, state how it could be corrected.


(a) If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval.

  • true

 

  • false




(b) Decreasing the significance level (α ) will increase the probability of making a Type 1 Error.

  • false

 

  • true




(c) Suppose the null hypothesis is μ = 5 and we fail to reject Ho. Under this scenario, the true population mean is 5.

  • true

 

  • false
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