A recent market study produced the following data on education level by gender

Question 4

A recent market study produced the following data on education level by gender:

Education Level |
Male |
Female |
TOTAL |

Up to High School |
250 |
350 |
600 |

College or U Grad |
460 |
540 |
1000 |

Postgraduate |
65 |
85 |
150 |

TOTAL |
775 |
975 |
1750 |

We want to determine if education level is independent of gender.

1. State the null and alternative hypotheses for a contingency table test if we want to determine if education level is independent of gender

2. State the rejection rule for the critical value approach. Let alpha = 0.01.

3. Calculate the expected frequency for the cell “Postgraduate” and “Female”

4. If the Chi Square statistic is 2.912 what is your conclusion?

Hint

StatisticsThe null hypothesis is a type of hypothesis that is used in the statistics which proposes that no statistical significance exists in a set of given observations and also attempts to show that no variation exists between the variables or that a single variable is no different than its mean. It is also presumed to be true until statistical evidence nullifies it for an alternative hypothesi...

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