Question

You are conducting a study to see if the probability of being hit by lightning is significantly more than 0.7. You use a significance level of α=0.05α=0.05.

      H0:p=0.7H0:p=0.7
      H1:p>0.7H1:p>0.7

You obtain a sample of size n=568n=568 in which there are 406 successes.

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = _______

The p-value is...

• less than (or equal to) αα
• greater than αα

This p-value leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the probability of being hit by lightning is more than 0.7.
• There is not sufficient evidence to warrant rejection of the claim that the probability of being hit by lightning is more than 0.7.
• The sample data support the claim that the probability of being hit by lightning is more than 0.7.
• There is not sufficient sample evidence to support the claim that the probability of being hit by lightning is more than 0.7.

Answer 1

null Hypothesis: alternate Hypothesis: Ha Но: 0.700 p 0.700 for 0.05 level with right tailed test, critical value of z 1.645 Decision rule: reject Ho if test statistic z > 1.645 sample success 406 X sample size 568.0 (p*(1-p)/n) std error =Se 0.0192 sample proportion x/n= (5-p)/Se= test stat = Z 0.77 p value 0.2209

from above p-value = 0.2209 ( please try 0.2206 if this comes wrong)

The p-value is. greater than α

This p-value leads to a decision to fail to reject the null

As such, the final conclusion is that There is not sufficient sample evidence to support the claim that the probability of being hit by lightning is more than 0.7.