# QNT/351 One sample hypothesis test

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Question description

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A one sample hypothesis test compares a sample mean or a sample proportion to hypothesized mean or proportion.

For example, as a business manager I may hypothesize that the average sales of suncreen in July this year may be higher than the average sales of sunscreen in the same month over the past three years. So I would take the average this year (the sample) and compare it to the average of the same month over the past three years (the hypothesized mean).

The null hypothesis (H0) is what we want to find false. The alternative hypothesis (H1) is what we want to find as true.

For the purpose of this example we will say the average sales of suncreen in July over the past three years was 240 units per day

H0: Average daily sunscreen sales in July will be less than or equal to 240 units.

H1: Average daily sunscreen sales in July will be greater than 240 units.

This is an example of a one sample hypothesis of the mean. You can also test a proportion such as you will achieve a percent of a market share of suncreen in July. You hypothesize 30% of the market in suncreen.

H0: Sunscreen sales in July will be less than 30% of the market share.

H1: Sunscreen sales in July will be greater than or equal to 30% of the market share.

Q: start the discussion by providing an example of your own. Write the hypothesis in the null and alternative format I have provided. Hypothesis statements are very clear and on point statements.

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