Every year my place of work has a huge holiday party. Every year there is a survey sent out to see how many people want to attend the party so that there is a big enough venue booked. I wanted to know if the number of people wanting to attend the annual holiday party changed this year because of COVID. In 2019, of the 406 people surveyed, 310 said that they wanted to attend. In 2020, of the 406 people surveyed, 156 said that they wanted to attend. Conduct a test at the a=0.05 level of significance.

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Every year my place of work has a huge holiday party. Every year there is a survey sent out to see how many people want to attend the party so that there is a big enough venue booked. I wanted to know if the number of people wanting to attend the annual holiday party changed this year because of COVID. In 2019, of the 406 people surveyed, 310 said that they wanted to attend. In 2020, of the 406 people surveyed, 156 said that they wanted to attend.

Conduct a test at the a=0.05 level of significance.

H0: p1=p2

H1: p1≠p2

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Step 1

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The sample proportions are,

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Step 2

The pooled proportion or weighted estimate of p is,

Statistics homework question answer, step 2, image 1

The value of test statistic is,

Statistics homework question answer, step 2, image 2

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