"Trydint" bubble$-$gum company claims that $6$ out of $10$ people prefer their gum to "Eklypse". Test theirThe average of people that prefer Trydint gum is not $0\mathrm{.}6.$

The proportion of all people that prefer Trydint gum is $0\mathrm{.}6$

The average of people that prefer Trydint gum is $0\mathrm{.}6.$

The proportion of all people that prefer Trydint gum is less than $0\mathrm{.}6.$

The proportion of people in a sample that prefer Trydint gum is not $0\mathrm{.}6$

The proportion of all people that prefer Trydint gum is greater than $0\mathrm{.}6.$

The proportion of people in a sample that prefers Trydint gum is $0\mathrm{.}6.$

Based on a sample of $470$ people, $264$ 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:

Reject the null hypothesis

Fail to reject the null hypothesis

claim at the $95$ confidence level.

The null and alternative hypothesis in symbols would be:

$H_0$:$0\mathrm{.}6$

$H_1$:$<mn\; id="EditorElement\_109545">0</mn><mn\; id="EditorElement\_109546">.</mn><mn\; id="EditorElement\_109547">6</mn>$

$H_0$:$p0\mathrm{.}6$

$H_1$:$p<mn\; id="EditorElement\_109587">0</mn><mn\; id="EditorElement\_109588">.</mn><mn\; id="EditorElement\_109589">6</mn>$

$H_0$:$p0\mathrm{.}6$

$H_1$:$p>0\mathrm{.}6$

$H_0$:$p=0\mathrm{.}6$

$H_1$:$p0\mathrm{.}6$

$H_0$:$0\mathrm{.}6$

$H_1$:$>0\mathrm{.}6$

$H_0$:$=0\mathrm{.}6$

$H_1$:$0\mathrm{.}6$

The null hypothesis in words would be:

The average of people that prefer Trydint gum is not $0\mathrm{.}6.$

The proportion of all people that prefer Trydint gum is $0\mathrm{.}6$

The average of people that prefer Trydint gum is $0\mathrm{.}6.$

The proportion of all people that prefer Trydint gum is less than $0\mathrm{.}6.$

The proportion of people in a sample that prefer Trydint gum is not $0\mathrm{.}6$

The proportion of all people that prefer Trydint gum is greater than $0\mathrm{.}6.$

The proportion of people in a sample that prefers Trydint gum is $0\mathrm{.}6.$