A campaign manager for a political candidate released a series of advertisements criticizing their opponent in...

A campaign manager for a political candidate released a series of advertisements criticizing their opponent in an upcoming election. Their opponent previously had the support of 45% of voters, and the campaign manager wants to sample voters to test if support for their opponent has decreased. The manager surveyed 200 voters and the survey shows 40% support. Use .03 level of significance

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Expert Solution

Their opponent previously had the support of 45% of voters, and the campaign manager wants to sample voters to test if support for their opponent has decreased

p : Proporiton of voters who supported the opponent

To test whether p <0.45;

Null hypothesis : Ho : p =45/100 = 0.45

Alternate htypothesis : Ha : p < 0.45

Left tailed test

Given,

Hypothesized proportion : po = 0.45

Number of voters surveyed :sample size : n= 200

Sample Proportion of voters who supported the opponent : = 40/100 =0.40

Test Statistic:

For left tailed test :

As P-Value i.e. is greater than Level of significance i.e (P-value:0.0776 > 0.03:Level of significance); Fail to Reject Null Hypothesis
There is not sufficient evidence to conclude that the support for their opponent has decreased.

orchestra answered 1 year ago

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