"Trydint" bubble-gum company claims that 5 out of 10 people prefer their gum to "Eklypse". Test their claim at the 95 confidence level. The null and alternative hypothesis in symbols would be:

• H0:p=0.5H0:p=0.5 H1:p0.5H1:p0.5
• H0:=0.5H0:=0.5 H1:0.5H1:0.5
• H0:p0.5H0:p0.5 H1:p<0.5H1:p<0.5
• H0:0.5H0:0.5 H1:<0.5H1:<0.5
• H0:0.5H0:0.5 H1:>0.5H1:>0.5
• H0:p0.5H0:p0.5 H1:p>0.5

The null hypothesis in words would be:

• The proportion of all people that prefer Trydint gum is less than 0.5.
• The proportion of all people that prefer Trydint gum is greater than 0.5.
• The proportion of people in a sample that prefer Trydint gum is not 0.5
• The average of people that prefer Trydint gum is 0.5.
• The average of people that prefer Trydint gum is not 0.5.
• The proportion of people in a sample that prefers Trydint gum is 0.5.
• The proportion of all people that prefer Trydint gum is 0.5

Based on a sample of 150 people, 57 said they prefer "Trydint" gum to "Eklypse". The point estimate is: (to 3 decimals) The 95 % confidence interval is: to (to 3 decimals) Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis