Write as an algebraic expression: a number that is 5 more than half of z
2 answers:
Hey there!
We'll use our keyword of, which means we're multiplying. For example:
1/2 of 6 means 1/2 times 6, which equals three.
In our case, we want one half <em>of</em> z, meaning one half times z. That means we have:
Now, we have to add the "five more". This means the quantity of one half of z is increased by 5, also known as adding 5. Therefore, we have:
Hope this helps!
We'll use our keyword of, which means we're multiplying. For example:
1/2 of 6 means 1/2 times 6, which equals three.
In our case, we want one half <em>of</em> z, meaning one half times z. That means we have:
Now, we have to add the "five more". This means the quantity of one half of z is increased by 5, also known as adding 5. Therefore, we have:
Hope this helps!
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Answer:
Step-by-step explanation:
Hello!
A pilot study was conducted to test if three food rewards are equally appealing to the participants.
Of 60 participants surveyed:
16 preferred cupcakes (CC)
26 preferred candy bars (CB)
18 preferred dried apricots (DA)
If the three types of food are equally appealing for the participants, you'd expect that their proportions will be equal: P(CC)=P(CB)=P(DA)= 1/3
1.
The objective of this pilot study is to test if the observed frequencies follow a theoretical model/ distribution. To analyze this, you have to apply a Chi Square Goodness to Fit test. Where k= number of categories of the variable.
For this example the statistical hypotheses are:
H₀: P(CC)=P(CB)=P(DA)= 1/3
H₁: At least one of the proportions isn't equal to the others.
2.
To calculate the expected frequencies for each category you have to use the formula: where Pi represents the theoretical proportion for the i category, stated in the null hypothesis.
3.
The cutoff or critical value indicates the beginning of the rejection region for the hypothesis test. For the Chi-Square tests, the rejection region is always one-tailed to the right, meaning that you'll reject the null hypothesis if the value of the statistic is big. For the goodness to fit test you have k-1 degrees of freedom, so the critical value will be:
Assuming α: 0.05
The rejection region is then X²₂ ≥ 7.378
4.
I hope this helps!