Question

There is a beautiful hill station in India called ‘Kurseong’. Besides breathtaking views, this town is also famous for its locally made spicy pickle called Tittira. A random group of 60 tourists from different parts of the world was asked to taste Tittira and using the data, the estimated standard error of the sample proportion of tourists who liked Tittira is calculated as 0.0632.

A normal distribution can be used to model the sampling distribution of the sample proportion. The pickle salespeople constructed a confidence interval for the actual proportion of tourists who like Tittira.

Following that, they collect a new sample of size
**100** and find that the sample proportion is
**the same as** the first sample proportion.

Consider the statement:

The estimated standard error for the sample proportion based on the new sample is less than the first sample's standard error.

Is this statement always true or sometimes true or never true?

Answer #1

In a pickle ~ There is a beautiful hill station in India called
‘Kurseong’. Besides breathtaking views, this town is also famous
for its locally made spicy pickle called Tittira. A random group of
tourists from different parts of the world were asked to taste
Tittira and 18.39% of tourists said they liked it. The estimated
standard error of the sample proportion is 0.0421. A normal
distribution can be used to model the sampling distribution of
sample proportion. The pickle...

In a pickle ~ There is a beautiful hill station
in India called ‘Kurseong’. Besides breathtaking views, this town
is also famous for its locally made spicy pickle called Tittira. A
random group of tourists from different parts of the world were
asked to taste Tittira and 19.61% of tourists said they liked it.
The estimated standard error of the sample proportion is
0.0421.
A normal distribution can be used to model the sampling
distribution of sample proportion. The pickle...

In February 2012, the Pepsi Next product was launched into
the US market. This case study provides students with an
interesting insight into PepsiCo’s new product process and some of
the challenging decisions that they faced along the way.
Pepsi Next Case Study
Introduction
Pepsi Next was launched by PepsiCo into the US market in
February 2012, and has since been rolled out to various
international markets (for instance, it was launched in Australia
in September 2012).
The new product...

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