Null hypothesis is that the experiment is like drawing times

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Reference no: EM132464960

A husband and wife claim that they have a special bond that allows them to communicate by ESP. To test this claim, an researcher puts the husband and wife in separate rooms. The husband is randomly shown one of 5 colors: either blue, red, green, yellow or orange. He then is given 5 seconds to use his ESP to communicate the color to his wife. The wife then has to decide which of the 5 colors she was shown. This process is repeated 100 times. The wife correctly identifies the color 26 out of the 100 times. The null hypothesis is that she just guessed her husband's answers.

a. The null hypothesis is that the experiment is like drawing times

Tries 0/3at random

with replacement

without replacement

Tries 0/1

from a null box that contains

b. 2 tickets, 1 marked "1" and 1 marked "0"

millions of tickets marked either "1" or "0", but the exact percentages of each are unknown and estimated from our sample.

5 tickets, 1 marked "1" and 4 marked "0"

100 tickets, 26 marked "1" and 74 marked "0"

Tries 0/2c. What is the EV (expected value) of the sum of the draws?

Tries 0/3d. What is the SD of the null box?

Tries 0/3e. What is the SE (standard error) of the sum of the draws?

Tries 0/3f. What is the value of the test statistic Z?

Tries 0/3g. What is the p-value? Click here to view the normal table

Tries 0/3h. What do you conclude?

We have proved the husband and wife definitely do not have ESP.

There is very strong evidence to reject the null, and conclude that the wife is not simply guessing the husband's answers.

The husband and wife have ESP, since only 6.5% of couples would get that many correct answers just by guessing.

There's not strong enough evidence to conclude that the husband and wife have ESP.

Reference no: EM132464960

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