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Another suggestion is you can also type: Alt + 0216.
Best regards,
Dan
Hi! I'm Dan! An Independent Advisor and also a Microsoft user for several years. I'll be more than happy to assist you today!
Method 1:
The ∅ symbol can be entered by going into "Symbols", choose "Mathematical Characters" and from the dropdown "Subset".
Method 2:
Type 2205 and then press "Alt + X".
I hope this information is helpful. Please keep me updated on the status of this issue. If you have any more questions, feel free to ask and I will be glad to assist you.
Standard Disclaimer: There are links to non-Microsoft websites. The pages appear to be providing accurate, safe information. Watch out for ads on the sites that may advertise products frequently classified as a PUP (Potentially Unwanted Products). Thoroughly research any product advertised on the sites before you decide to download and install it.
Best regards,
Dan
Your null hypothesis is
The alternative hypothesis is
You need to calculate using $X\sim Bin(1000,0.3)$
Can you finish?
Just to clarify:
- The null hypothesis always has an equal sign and never an inequality symbol
- In this particular example we conclude that
is not in the critical region.
We conclude that in accepting the null hypothesis there is insufficient evidence that the probability is more than %
Both ideas of the null and alternative hypothesis are true. The null hypothesis must always include an equals sign, whether it be $\geq\text{, } \leq\text{, or just}=$. Usually, however, it's just . The alternative hypothesis is what we wish to show.
The null hypothesis in this case is that the proportion of children in economically disadvantaged areas raised in single-parent homes is %.
The alternative hypothesis is that the proportion of children in economically disadvantaged areas raised in single-parent homes is greater than %.
More formally
There are two ways you can test this hypothesis if you so wish. Letting be the number of children raised in single-parent homes, you can use normal approximation to the binomial:
where I used a continuity correction
In R statistical software
> 1-pnorm((316.5-300)/sqrt(1000*.3*.7))
[1] 0.1274333
You could also, using software, find the exact probability using the standard binomial distribution:
$$P(X\geq317)=\sum_{k=317}^{1000} {1000 \choose k}\cdot0.3^k\cdot0.7^{1000-k}$$
> sum(dbinom(317:1000,1000,.3))
[1] 0.1277011
Since is large, the normal approximation does very well.
At we fail to reject the null hypothesis.
Another suggestion is you can also type: Alt + 0216.
Best regards,
Dan
Hi! I'm Dan! An Independent Advisor and also a Microsoft user for several years. I'll be more than happy to assist you today!
Method 1:
The ∅ symbol can be entered by going into "Symbols", choose "Mathematical Characters" and from the dropdown "Subset".
Method 2:
Type 2205 and then press "Alt + X".
I hope this information is helpful. Please keep me updated on the status of this issue. If you have any more questions, feel free to ask and I will be glad to assist you.
Standard Disclaimer: There are links to non-Microsoft websites. The pages appear to be providing accurate, safe information. Watch out for ads on the sites that may advertise products frequently classified as a PUP (Potentially Unwanted Products). Thoroughly research any product advertised on the sites before you decide to download and install it.
Best regards,
Dan